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<article xml:lang="en" article-type="research-article" dtd-version="1.4"><processing-meta base-tagset="archiving" mathml-version="3.0" table-model="xhtml" tagset-family="jats"><restricted-by>pmc</restricted-by></processing-meta><front><journal-meta><journal-id journal-id-type="nlm-ta">PLoS One</journal-id><journal-id journal-id-type="iso-abbrev">PLoS One</journal-id><journal-id journal-id-type="pmc-domain-id">440</journal-id><journal-id journal-id-type="pmc-domain">plosone</journal-id><journal-id journal-id-type="nlm-id">101285081</journal-id><journal-id journal-id-type="publisher-id">plos</journal-id><journal-title-group><journal-title>PLOS One</journal-title></journal-title-group><issn pub-type="epub">1932-6203</issn><?publisher_abbrev plos?><publisher><publisher-name>PLOS</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pmcid">PMC13138621</article-id><article-id pub-id-type="pmcid-ver">PMC13138621.1</article-id><article-id pub-id-type="pmcaid">13138621</article-id><article-id pub-id-type="pmcaiid">13138621</article-id><article-id pub-id-type="pmid">42081499</article-id><article-id pub-id-type="doi">10.1371/journal.pone.0347582</article-id><article-id pub-id-type="publisher-id">PONE-D-25-47753</article-id><article-version article-version-type="pmc-version">1</article-version><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Medicine and Health Sciences</subject><subj-group><subject>Medical Conditions</subject><subj-group><subject>Neurodevelopmental Disorders</subject><subj-group><subject>Adhd</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Biology and Life Sciences</subject><subj-group><subject>Neuroscience</subject><subj-group><subject>Developmental Neuroscience</subject><subj-group><subject>Neurodevelopmental Disorders</subject><subj-group><subject>Adhd</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Medicine and Health Sciences</subject><subj-group><subject>Neurology</subject><subj-group><subject>Neurodevelopmental Disorders</subject><subj-group><subject>Adhd</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Medicine and Health Sciences</subject><subj-group><subject>Mental Health and Psychiatry</subject><subj-group><subject>Neuropsychiatric Disorders</subject><subj-group><subject>Adhd</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Social Sciences</subject><subj-group><subject>Sociology</subject><subj-group><subject>Education</subject><subj-group><subject>Schools</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Biology and Life Sciences</subject><subj-group><subject>Neuroscience</subject><subj-group><subject>Cognitive Science</subject><subj-group><subject>Cognitive Psychology</subject><subj-group><subject>Learning</subject><subj-group><subject>Human Learning</subject></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Biology and Life Sciences</subject><subj-group><subject>Psychology</subject><subj-group><subject>Cognitive Psychology</subject><subj-group><subject>Learning</subject><subj-group><subject>Human Learning</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Social Sciences</subject><subj-group><subject>Psychology</subject><subj-group><subject>Cognitive Psychology</subject><subj-group><subject>Learning</subject><subj-group><subject>Human Learning</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Biology and Life Sciences</subject><subj-group><subject>Neuroscience</subject><subj-group><subject>Learning and Memory</subject><subj-group><subject>Learning</subject><subj-group><subject>Human Learning</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Medicine and Health Sciences</subject><subj-group><subject>Epidemiology</subject><subj-group><subject>Medical Risk Factors</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Physical Sciences</subject><subj-group><subject>Mathematics</subject><subj-group><subject>Probability Theory</subject><subj-group><subject>Random Variables</subject><subj-group><subject>Covariance</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>People and Places</subject><subj-group><subject>Population Groupings</subject><subj-group><subject>Age Groups</subject><subj-group><subject>Children</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>People and Places</subject><subj-group><subject>Population Groupings</subject><subj-group><subject>Families</subject><subj-group><subject>Children</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Medicine and Health Sciences</subject><subj-group><subject>Mental Health and Psychiatry</subject><subj-group><subject>Mood Disorders</subject><subj-group><subject>Depression</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3"><subject>Research and Analysis Methods</subject><subj-group><subject>Research Design</subject><subj-group><subject>Longitudinal Studies</subject></subj-group></subj-group></subj-group></article-categories><title-group><article-title>The longitudinal relation between adolescents’ learning outcomes and internalizing symptoms: The role of ADHD symptoms</article-title><alt-title alt-title-type="running-head">Learning outcomes, internalising and ADHD symptoms</alt-title></title-group><contrib-group><contrib contrib-type="author"><contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0002-4091-7054</contrib-id><name name-style="western"><surname>Visser</surname><given-names initials="L">Linda</given-names></name><role content-type="http://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role><role content-type="http://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role><role content-type="http://credit.niso.org/contributor-roles/writing-original-draft/">Writing – original draft</role><xref rid="aff001" ref-type="aff">
<sup>1</sup>
</xref><xref rid="aff002" ref-type="aff">
<sup>2</sup>
</xref><xref rid="aff003" ref-type="aff">
<sup>3</sup>
</xref></contrib><contrib contrib-type="author"><name name-style="western"><surname>Ehm</surname><given-names initials="JH">Jan-Henning</given-names></name><role content-type="http://credit.niso.org/contributor-roles/validation/">Validation</role><role content-type="http://credit.niso.org/contributor-roles/visualization/">Visualization</role><role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing – review &amp; editing</role><xref rid="aff003" ref-type="aff">
<sup>3</sup>
</xref><xref rid="aff004" ref-type="aff">
<sup>4</sup>
</xref></contrib><contrib contrib-type="author" corresp="yes"><contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0003-0875-8249</contrib-id><name name-style="western"><surname>Brandenburg</surname><given-names initials="J">Janin</given-names></name><role content-type="http://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role><role content-type="http://credit.niso.org/contributor-roles/validation/">Validation</role><role content-type="http://credit.niso.org/contributor-roles/writing-review-editing/">Writing – review &amp; editing</role><xref rid="aff005" ref-type="aff">
<sup>5</sup>
</xref><xref rid="cor001" ref-type="corresp">*</xref></contrib></contrib-group><aff id="aff001"><label>1</label>
<addr-line>Department of Developmental Psychopathology, Behavioural Science Institute, Radboud University, Nijmegen, The Netherlands</addr-line></aff><aff id="aff002"><label>2</label>
<addr-line>DIPF | Leibniz Institute for Research and Information in Education, Frankfurt am Main, Germany</addr-line></aff><aff id="aff003"><label>3</label>
<addr-line>Center for Research on Individual Development and Adaptive Education of Children at Risk (IDeA), Frankfurt am Main, Germany</addr-line></aff><aff id="aff004"><label>4</label>
<addr-line>Institute for Psychology, Heidelberg University of Education, Heidelberg, Germany</addr-line></aff><aff id="aff005"><label>5</label>
<addr-line>Department of Rehabilitation Sciences, TU Dortmund University, Germany</addr-line></aff><contrib-group><contrib contrib-type="editor"><name name-style="western"><surname>Chen</surname><given-names initials="MH">Mu-Hong</given-names></name><role>Editor</role><xref rid="edit1" ref-type="aff"/></contrib></contrib-group><aff id="edit1">
<addr-line>Taipei Veterans General Hospital, TAIWAN</addr-line>
</aff><author-notes><corresp id="cor001">* E-mail: <email>janin.brandenburg@tu-dortmund.de</email></corresp><fn fn-type="COI-statement" id="coi001"><p><bold>Competing Interests: </bold>The authors have declared that no competing interests exist.</p></fn></author-notes><pub-date pub-type="epub"><day>4</day><month>5</month><year>2026</year></pub-date><pub-date pub-type="collection"><year>2026</year></pub-date><volume>21</volume><issue>5</issue><issue-id pub-id-type="pmc-issue-id">512858</issue-id><elocation-id>e0347582</elocation-id><history><date date-type="received"><day>2</day><month>9</month><year>2025</year></date><date date-type="accepted"><day>5</day><month>4</month><year>2026</year></date></history><pub-history><event event-type="pmc-release"><date><day>04</day><month>05</month><year>2026</year></date></event><event event-type="pmc-live"><date><day>05</day><month>05</month><year>2026</year></date></event><event event-type="pmc-last-change"><date iso-8601-date="2026-05-12 14:25:17.737"><day>12</day><month>05</month><year>2026</year></date></event></pub-history><permissions><copyright-statement>© 2026 Visser et al</copyright-statement><copyright-year>2026</copyright-year><copyright-holder>Visser et al</copyright-holder><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/" specific-use="textmining" content-type="ccbylicense">https://creativecommons.org/licenses/by/4.0/</ali:license_ref><license-p>This is an open access article distributed under the terms of the <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p></license></permissions><self-uri xmlns:xlink="http://www.w3.org/1999/xlink" content-type="pmc-pdf" xlink:href="pone.0347582.pdf"><?pdf-name pone.0347582.pdf?><?pdf-size 889837?><?pdf-md5 7d527f14246a57288055062ee5911ddc?><?pdf-image-server-status NEVER_LOAD?><?pdf-cloudpmc-urn urn:app:37b7/13138621/7d527f14246a/pone.0347582.pdf?></self-uri><self-uri xmlns:xlink="http://www.w3.org/1999/xlink" content-type="pdf" xlink:href="pone.0347582.pdf"/><related-article xmlns:xlink="http://www.w3.org/1999/xlink" related-article-type="editor-report" journal-id="PLoS One" journal-id-type="nlm-ta" ext-link-type="pubmed" xlink:href="42081499"><article-title>The longitudinal relation between adolescents' learning outcomes and internalizing symptoms: The role of ADHD symptoms.</article-title><volume>21</volume><issue>5</issue><date><day>4</day><month>5</month><year>2026</year></date><fpage>e0347582</fpage><lpage>e0347582</lpage><source>PLoS One</source><pub-id pub-id-type="doi">10.1371/journal.pone.0347582</pub-id><pub-id pub-id-type="pmid">42081499</pub-id></related-article><related-article xmlns:xlink="http://www.w3.org/1999/xlink" related-article-type="reviewed-article" journal-id="PLoS One" journal-id-type="nlm-ta" ext-link-type="pubmed" xlink:href="42081499"><article-title>The longitudinal relation between adolescents' learning outcomes and internalizing symptoms: The role of ADHD symptoms.</article-title><volume>21</volume><issue>5</issue><date><day>4</day><month>5</month><year>2026</year></date><fpage>e0347582</fpage><lpage>e0347582</lpage><source>PLoS One</source><pub-id pub-id-type="doi">10.1371/journal.pone.0347582</pub-id><pub-id pub-id-type="pmid">42081499</pub-id></related-article><abstract><sec id="sec001"><title>Objective</title><p>The literature on bivariate relations between learning outcomes and symptoms of anxiety, depression, and ADHD is extensive. Much less research has been done into the trivariate longitudinal relations between learning outcomes, internalizing symptoms, and ADHD symptoms, which was the focus of the current study.</p></sec><sec id="sec002"><title>Method</title><p>The sample from the Adolescent Brain Cognitive Development (ABCD-) Study was largely representative for the US population in terms of, i.e., race and ethnicity and included 11,867 children aged 9 or 10 years (47.8% female; 52.2% male) at the start.</p></sec><sec id="sec003"><title>Results</title><p>The results of bi- and trivariate latent change score modelling with four timepoints showed that school records and symptoms of anxiety or depression were related, but school records did not predict these symptoms at the next timepoint, nor the other way around. ADHD was associated with both school records and symptoms of anxiety/ depression. Depression symptoms were a negative leading indicator of subsequent changes in ADHD.</p></sec><sec id="sec004"><title>Conclusions</title><p>The results suggest that ADHD symptoms do not form the main explanatory factor for the relation between school records and internalizing symptoms. They imply that it is important to recognize signs of depression at an early stage, so that such secondary problems can be prevented. Future research is needed to find underlying risk factors that can explain comorbidity, which can help identifying children with increased risk at an early stage.</p></sec></abstract><funding-group><funding-statement>The author(s) received no specific funding for this work.</funding-statement></funding-group><counts><fig-count count="1"/><table-count count="4"/><page-count count="22"/></counts><custom-meta-group><custom-meta><meta-name>pmc-status-qastatus</meta-name><meta-value>0</meta-value></custom-meta><custom-meta><meta-name>pmc-status-live</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>pmc-status-embargo</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-status-released</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-open-access</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-olf</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-manuscript</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-legally-suppressed</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-has-pdf</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-has-supplement</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-pdf-only</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-suppress-copyright</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-is-real-version</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-is-scanned-article</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-preprint</meta-name><meta-value>no</meta-value></custom-meta><custom-meta><meta-name>pmc-prop-in-epmc</meta-name><meta-value>yes</meta-value></custom-meta><custom-meta><meta-name>pmc-license-ref</meta-name><meta-value>CC BY</meta-value></custom-meta><custom-meta id="data-availability"><meta-name>Data Availability</meta-name><meta-value>The data underlying the results presented in the study stem from the ABCD study and are available from the NIH Brain Development Cohorts (NBDC) Data Sharing Platform (<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://www.nbdc-datahub.org/abcd-study" ext-link-type="uri">https://www.nbdc-datahub.org/abcd-study)</ext-link>. The preregistration for this research are available at <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://osf.io/yw5jv/overview?view_only=c258b240352a4d4fa3b309a79d656ce9" ext-link-type="uri">https://osf.io/yw5jv/overview?view_only=c258b240352a4d4fa3b309a79d656ce9</ext-link>. The analytic code necessary to reproduce the analyses is available at <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://osf.io/gw8d3/overview?view_only=5bff385bc7074df8b9bd0bb75bf1e5f2" ext-link-type="uri">https://osf.io/gw8d3/overview?view_only=5bff385bc7074df8b9bd0bb75bf1e5f2</ext-link>.</meta-value></custom-meta></custom-meta-group></article-meta><notes><title>Data Availability</title><p>The data underlying the results presented in the study stem from the ABCD study and are available from the NIH Brain Development Cohorts (NBDC) Data Sharing Platform (<ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://www.nbdc-datahub.org/abcd-study" ext-link-type="uri">https://www.nbdc-datahub.org/abcd-study)</ext-link>. The preregistration for this research are available at <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://osf.io/yw5jv/overview?view_only=c258b240352a4d4fa3b309a79d656ce9" ext-link-type="uri">https://osf.io/yw5jv/overview?view_only=c258b240352a4d4fa3b309a79d656ce9</ext-link>. The analytic code necessary to reproduce the analyses is available at <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://osf.io/gw8d3/overview?view_only=5bff385bc7074df8b9bd0bb75bf1e5f2" ext-link-type="uri">https://osf.io/gw8d3/overview?view_only=5bff385bc7074df8b9bd0bb75bf1e5f2</ext-link>.</p></notes></front><body><sec sec-type="intro" id="sec005"><title>Introduction</title><p>If children have persistent difficulties in reading, spelling, and/or mathematics despite appropriate schooling and in absence of other disorders that could explain these difficulties, the diagnosis of a specific learning disorder (SLD) [<xref rid="pone.0347582.ref001" ref-type="bibr">1</xref>] applies. In the literature about SLD, the presence of comorbidities with different types of behavioral problems is well established. The estimates on prevalence rates for these comorbidities vary widely depending on the criteria used. In general, symptoms of attention deficit/ hyperactivity disorder (ADHD) seem to be the most common comorbidity for SLD [e.g., <xref rid="pone.0347582.ref002" ref-type="bibr">2</xref>,<xref rid="pone.0347582.ref003" ref-type="bibr">3</xref>].</p><p>SLD is related to higher rates of internalizing behavior problems as well, including symptoms of both anxiety and depression [<xref rid="pone.0347582.ref004" ref-type="bibr">4</xref>,<xref rid="pone.0347582.ref005" ref-type="bibr">5</xref>]. Especially in cases in which an SLD is present in multiple learning domains, the risk for multiple forms of behavioral problems is high [<xref rid="pone.0347582.ref005" ref-type="bibr">5</xref>]. This yields the question if the comorbidity between SLD and internalizing problems could be explained by co-occurring symptoms of ADHD, which indeed seems to be the case for both anxiety and depression symptoms, at least partly [<xref rid="pone.0347582.ref006" ref-type="bibr">6</xref>]. However, the risk for developing internalizing problems still appears higher in cases of comorbid SLD and ADHD, compared to ADHD alone [<xref rid="pone.0347582.ref007" ref-type="bibr">7</xref>].</p><p>In the context of the multiple deficit model, neurodevelopmental disorders are believed to arise due to the probabilistic contribution of various risk factors. Comorbidity between different disorders can be explained by common risk factors [<xref rid="pone.0347582.ref008" ref-type="bibr">8</xref>]. To increase our understanding of neurodevelopmental disorders and comorbidity based on the multiple deficit model, longitudinal studies are needed to evaluate the relation between various symptoms and risk factors over time.</p><p>Therefore, the current study focused on the longitudinal relation between learning outcomes, internalizing symptoms, and ADHD symptoms in a general sample of early adolescents. Increased knowledge about this relation in the general sample can help increase our understanding of comorbidity on the clinical level. Indeed, ADHD- and internalising symptoms appear to relate not only to SLD on a clinical level, but also to learning outcomes in general [<xref rid="pone.0347582.ref009" ref-type="bibr">9</xref>,<xref rid="pone.0347582.ref010" ref-type="bibr">10</xref>]. In addition, not only clinical, but also subclinical symptoms have been associated with reduced quality of life in children [<xref rid="pone.0347582.ref011" ref-type="bibr">11</xref>]. Therefore, we took both symptom levels into account by focusing on the continuum of symptoms and school outcomes, rather than on neurodevelopmental disorders as categories. We focused on early adolescence, as this developmental period is known to be a critical period for internalizing problems to arise [<xref rid="pone.0347582.ref012" ref-type="bibr">12</xref>].</p><sec id="sec006"><title>Longitudinal trajectories of learning outcomes and internalizing symptoms</title><p>Before studying the longitudinal relation, an understanding is needed about the longitudinal trajectories of the individual constructs. With respect to learning outcomes, longitudinal studies in the United States have shown slight declines, at least from grade 6 onwards [<xref rid="pone.0347582.ref013" ref-type="bibr">13</xref>–<xref rid="pone.0347582.ref015" ref-type="bibr">15</xref>], which might be related to the transition to middle school and was found irrespective of gender [<xref rid="pone.0347582.ref015" ref-type="bibr">15</xref>]. With respect to anxiety, earlier studies have shown a decrease in symptoms during early adolescence [<xref rid="pone.0347582.ref016" ref-type="bibr">16</xref>], followed by a subsequent increase in symptoms [e.g., <xref rid="pone.0347582.ref017" ref-type="bibr">17</xref>,<xref rid="pone.0347582.ref018" ref-type="bibr">18</xref>], showing a discontinuous trajectory. The decrease in symptoms seems to be higher in children with higher initial symptom levels [<xref rid="pone.0347582.ref016" ref-type="bibr">16</xref>,<xref rid="pone.0347582.ref018" ref-type="bibr">18</xref>]. Important to keep in mind is that the individual variability in the development of anxiety symptoms is high [<xref rid="pone.0347582.ref019" ref-type="bibr">19</xref>].</p><p>With respect to the development of depression symptoms in early adolescence, inconsistent results have been found. McLaughlin and King [<xref rid="pone.0347582.ref016" ref-type="bibr">16</xref>] found no significant change in adolescents between 10 and 15 years of age. Cohen and colleagues [<xref rid="pone.0347582.ref017" ref-type="bibr">17</xref>] followed children from 7 to 15 years of age and found a slight decrease in symptoms until the age of 12, followed by a slight increase. Ormel and colleagues [<xref rid="pone.0347582.ref018" ref-type="bibr">18</xref>] found an increase from age 15 onwards. Based on a systematic review [<xref rid="pone.0347582.ref020" ref-type="bibr">20</xref>], depression symptoms seem to peek around 15–17 years of age, thus decreasing again afterwards. The trend in symptom change seems to be independent from initial symptom levels [<xref rid="pone.0347582.ref016" ref-type="bibr">16</xref>,<xref rid="pone.0347582.ref021" ref-type="bibr">21</xref>]. For both anxiety and depression, McLaughlin and King [<xref rid="pone.0347582.ref016" ref-type="bibr">16</xref>] found higher symptom levels in girls, but no gender differences with respect to change. It seems that symptoms of negative affect, anhedonia, and anxious arousal develop relatively independently from each other, at least in late adolescence [<xref rid="pone.0347582.ref022" ref-type="bibr">22</xref>].</p><p>How does the development of anxiety and depression symptoms relate to school outcomes? Levels of anxiety and achievement are negatively correlated [<xref rid="pone.0347582.ref019" ref-type="bibr">19</xref>], but this relation has been found to be weak (<italic toggle="yes">r</italic> = −.06) [<xref rid="pone.0347582.ref023" ref-type="bibr">23</xref>]. Certain types of anxiety might be related to school outcomes more than others. For example, Morin and colleagues [<xref rid="pone.0347582.ref024" ref-type="bibr">24</xref>] found that children with anxiety related to school transition showed the lowest school outcomes. For depression, based on a meta-analysis, the influence of symptoms on subsequent school outcomes is small but significant (pooled <italic toggle="yes">r</italic>= −0.19), independent from gender, also after adjusting for various confounding variables [<xref rid="pone.0347582.ref025" ref-type="bibr">25</xref>].</p><p>Results regarding the direction of effects are mixed, with some studies mainly finding an effect from achievement on later depression [<xref rid="pone.0347582.ref026" ref-type="bibr">26</xref>], others mainly finding an effect from depression on subsequent achievement [<xref rid="pone.0347582.ref027" ref-type="bibr">27</xref>], again others finding a negative relation (random intercept), but not a dynamic one [<xref rid="pone.0347582.ref028" ref-type="bibr">28</xref>]. Weidman and colleagues [<xref rid="pone.0347582.ref029" ref-type="bibr">29</xref>] did find a transactional relation, with higher levels of depression and anxiety predicting lower school outcomes as well as the other way around. In a study by Chen et al. [<xref rid="pone.0347582.ref030" ref-type="bibr">30</xref>] among elementary school children, the results of a cross-lagged panel model showed effects of school outcomes on depression symptoms and vice versa, but those of random-intercept cross-lagged panel models only showed an effect of depressive symptoms on school outcomes.</p><p>Explanations for the bivariate relation between internalizing symptoms and school outcomes are given by the <italic toggle="yes">academic incompetence hypothesis</italic> (academic incompetence leads to or worsens internalizing problems) and the <italic toggle="yes">adjustment erosion hypothesis</italic> (internalizing symptoms have a negative effect on school outcomes) [e.g., <xref rid="pone.0347582.ref028" ref-type="bibr">28</xref>]. Based on the current literature, there is slightly more support for the <italic toggle="yes">adjustment erosion hypothesis</italic>, but a firm conclusion is not possible because most studies only focus on one direction of effect or have methodological shortcomings [<xref rid="pone.0347582.ref031" ref-type="bibr">31</xref>].</p></sec><sec id="sec007"><title>The role of ADHD-symptoms</title><p>Alternative explanations for the relation between internalizing symptoms and school outcomes are given by the <italic toggle="yes">transactional effects model</italic> and the <italic toggle="yes">shared risk hypothesis</italic> (a third variable increases the risk for problems in both domains) [e.g., <xref rid="pone.0347582.ref031" ref-type="bibr">31</xref>]. Focusing on this last hypothesis, one variable that has been linked to school outcomes as well as internalizing symptoms are symptoms of ADHD. Symptoms of ADHD [<xref rid="pone.0347582.ref032" ref-type="bibr">32</xref>] as well as an ADHD diagnosis [e.g., <xref rid="pone.0347582.ref033" ref-type="bibr">33</xref>] appear relatively stable. It is well established that ADHD symptoms influence learning outcomes [e.g., <xref rid="pone.0347582.ref034" ref-type="bibr">34</xref>–<xref rid="pone.0347582.ref036" ref-type="bibr">36</xref>]. Less clear is if the disadvantage for affected children increases with age [<xref rid="pone.0347582.ref035" ref-type="bibr">35</xref>,<xref rid="pone.0347582.ref036" ref-type="bibr">36</xref>] and if ADHD symptoms are related to the growth in school performance [<xref rid="pone.0347582.ref034" ref-type="bibr">34</xref>].</p><p>Earlier studies have also shown that ADHD symptoms have a significant influence on subsequent levels of anxiety [<xref rid="pone.0347582.ref037" ref-type="bibr">37</xref>] as well as on changes in anxiety [<xref rid="pone.0347582.ref038" ref-type="bibr">38</xref>]. Vice versa, anxiety influences subsequent levels of ADHD in adolescents [<xref rid="pone.0347582.ref037" ref-type="bibr">37</xref>], but not in young children [<xref rid="pone.0347582.ref039" ref-type="bibr">39</xref>].</p><p>Where the literature on trajectories of the individual constructs and on bivariate relations is extensive, much less research has been done into the trivariate relation between learning outcomes, internalizing symptoms, and ADHD symptoms. As mentioned before, earlier correlational research found that ADHD symptoms partly explain the relation between anxiety and learning outcomes [<xref rid="pone.0347582.ref006" ref-type="bibr">6</xref>]. In addition, a 4-year longitudinal study among college students [<xref rid="pone.0347582.ref040" ref-type="bibr">40</xref>] identified depression symptoms as one of the strongest predictors for college outcomes in students with ADHD, which were lower compared to those of students without ADHD.</p></sec><sec id="sec008"><title>Research questions and hypotheses</title><p>Based on the literature described above, the current study is confirmatory in nature and based on the following three sets of preregistered [<xref rid="pone.0347582.ref041" ref-type="bibr">41</xref>] research questions and hypotheses.</p><p>First, we evaluated how the shape of the developmental trajectories looks like for:</p><list list-type="simple"><list-item><label>a</label><p>school records. We expected to find a decline from grade 6 onwards, which is related to the transition to middle school [<xref rid="pone.0347582.ref014" ref-type="bibr">14</xref>,<xref rid="pone.0347582.ref015" ref-type="bibr">15</xref>].</p></list-item><list-item><label>b</label><p>anxiety symptoms. We expected to find a decrease in anxiety symptoms with age (negative linear slope) [e.g., <xref rid="pone.0347582.ref016" ref-type="bibr">16</xref>–<xref rid="pone.0347582.ref018" ref-type="bibr">18</xref>] and greater declines in children with higher anxiety levels at baseline (a negative correlation between the intercept and slope) [e.g., <xref rid="pone.0347582.ref016" ref-type="bibr">16</xref>,<xref rid="pone.0347582.ref018" ref-type="bibr">18</xref>].</p></list-item><list-item><label>c</label><p>depressive symptoms. We expected to find no change at first and an increase in symptoms starting around age 12 (grade 7) [<xref rid="pone.0347582.ref017" ref-type="bibr">17</xref>,<xref rid="pone.0347582.ref021" ref-type="bibr">21</xref>]. We expected this change from grade 7 onwards to be caused by a linear slope factor [<xref rid="pone.0347582.ref021" ref-type="bibr">21</xref>], not dependent on the previous time point [<xref rid="pone.0347582.ref017" ref-type="bibr">17</xref>]. Also, we did not expect differences in change depending on the initial level of symptoms [<xref rid="pone.0347582.ref016" ref-type="bibr">16</xref>,<xref rid="pone.0347582.ref042" ref-type="bibr">42</xref>].</p></list-item></list><p> In addition, we hypothesized for each of the variables a to c that the rank order stability between adjacent time points (1-year interval) would be high, whereas the stability between more distant time points would be lower.</p><p>Second, we evaluated the longitudinal relation between school records and:</p><list list-type="simple"><list-item><label>a</label><p>anxiety symptoms. We expected a negative correlation between the initial levels of anxiety and achievement (significant correlation between the baseline factors) [e.g., <xref rid="pone.0347582.ref019" ref-type="bibr">19</xref>,<xref rid="pone.0347582.ref029" ref-type="bibr">29</xref>]. In addition, we expected to find low achievement to predict higher levels of anxiety in the next school year [<xref rid="pone.0347582.ref029" ref-type="bibr">29</xref>].</p></list-item><list-item><label>b</label><p>depressive symptoms. On a theoretical basis we expected to find effects of depression on subsequent achievement and vice versa (both an academic incompetence effect and an adjustment erosion effect) [<xref rid="pone.0347582.ref028" ref-type="bibr">28</xref>]. In addition, we expected a negative correlation between the initial levels of school records and depression [<xref rid="pone.0347582.ref028" ref-type="bibr">28</xref>].</p></list-item></list><p>Third, we evaluated the trivariate dynamic relation between ADHD-symptoms, school records and:</p><list list-type="simple"><list-item><label>a</label><p>anxiety symptoms. We hypothesized that:</p><list list-type="simple"><list-item><label>i</label><p>ADHD symptoms have a significant influence on both the starting level (intercept) of school records and on changes in school records (increasing disadvantage) [<xref rid="pone.0347582.ref035" ref-type="bibr">35</xref>,<xref rid="pone.0347582.ref036" ref-type="bibr">36</xref>];</p></list-item><list-item><label>ii</label><p>The starting levels of ADHD and anxiety are positively correlated [<xref rid="pone.0347582.ref005" ref-type="bibr">5</xref>]. In addition, ADHD symptoms have a significant influence on subsequent levels of anxiety and anxiety has a significant influence of subsequent levels of ADHD [<xref rid="pone.0347582.ref037" ref-type="bibr">37</xref>]. We also expected an influence of ADHD symptoms on the change in anxiety [<xref rid="pone.0347582.ref038" ref-type="bibr">38</xref>];</p></list-item><list-item><label>iii</label><p>if a relation between school records and subsequent anxiety is found under step 2, this can be explained by ADHD symptoms [<xref rid="pone.0347582.ref006" ref-type="bibr">6</xref>].</p></list-item></list></list-item><list-item><label>b</label><p>depression symptoms. We hypothesized that:</p><list list-type="simple"><list-item><label>i</label><p>ADHD symptoms have a significant influence on the starting level of depression [<xref rid="pone.0347582.ref005" ref-type="bibr">5</xref>] as well as on the change in depression (slope) [<xref rid="pone.0347582.ref043" ref-type="bibr">43</xref>,<xref rid="pone.0347582.ref044" ref-type="bibr">44</xref>];</p></list-item><list-item><label>ii</label><p>if relations between school records and subsequent depression symptoms and between depression and subsequent school records are found, these can be explained by ADHD symptoms [<xref rid="pone.0347582.ref006" ref-type="bibr">6</xref>,<xref rid="pone.0347582.ref040" ref-type="bibr">40</xref>].</p></list-item></list></list-item></list></sec></sec><sec sec-type="materials|methods" id="sec009"><title>Materials and methods</title><sec id="sec010"><title>Data and sample</title><p>We used the data from a large-scale longitudinal study in the United States into the biological and behavioral development of children from 9–10 years of age onwards: the Adolescent Brain Cognitive Development Study [<xref rid="pone.0347582.ref045" ref-type="bibr">45</xref>], funded by the National Institutes of Health (NIH). The baseline measure (T0) took place between September 2016 and August 2018 [<xref rid="pone.0347582.ref046" ref-type="bibr">46</xref>] with a sample of 11,867 children aged 9 or 10 years old. The current study is based on the data from data release 5.0 regarding psychopathology, neurocognition, and school records from the first four time points: T0 to T3. Because data for school records were missing for the fourth time point, we did not include any data from T4. Although data for the other variables were available, using alternative methods such as imputation was not an option, because school records formed an essential element in the analyses and were missing for all children at T4. Most of the children were 12–13 years old at T3. <xref rid="pone.0347582.t001" ref-type="table">Table 1</xref> shows descriptive statistics for gender, age, and grade at the four time points. We did not exclude any cases.</p><table-wrap position="float" id="pone.0347582.t001" orientation="portrait"><object-id pub-id-type="doi">10.1371/journal.pone.0347582.t001</object-id><label>Table 1</label><caption><title>Descriptive Statistics of the ABCD Sample at Baseline (T0), T1, T2, and T3.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0347582.t001g" position="float" orientation="portrait" xlink:href="pone.0347582.t001.jpg"><?image-name pone.0347582.t001.jpg?><?image-size 75052?><?image-md5 7263f8b3c63ac55531532f6c42dbef2f?><?image-image-server-status LOAD_COMPLETED?><?image-original-height 1256?><?image-original-width 4500?><?image-scaled-height 209?><?image-scaled-width 750?><?image-cloudpmc-urn urn:cdn:blobs/37b7/13138621/7263f8b3c63a/pone.0347582.t001.jpg?><?thumb-name pone.0347582.t001.gif?><?thumb-size 12525?><?thumb-md5 0c3f649069b4c231a1c3954869bd2835?><?thumb-image-server-status NEVER_LOAD?><?thumb-scaled-height 56?><?thumb-scaled-width 200?><?thumb-cloudpmc-urn urn:cdn:blobs/37b7/13138621/0c3f649069b4/pone.0347582.t001.gif?></graphic><table frame="hsides" rules="groups"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th align="left" rowspan="2" colspan="1">T</th><th align="left" rowspan="2" colspan="1"><italic toggle="yes">N</italic> (%)</th><th align="left" colspan="3" rowspan="1">Age in years;months</th><th align="left" colspan="3" rowspan="1">Gender <italic toggle="yes">n</italic> (%)</th><th align="left" colspan="7" rowspan="1">Grade <italic toggle="yes">n</italic> (%)</th></tr><tr><th align="left" rowspan="1" colspan="1">
<italic toggle="yes">M</italic>
</th><th align="left" rowspan="1" colspan="1">
<italic toggle="yes">SD</italic>
</th><th align="left" rowspan="1" colspan="1">Range</th><th align="left" rowspan="1" colspan="1">female</th><th align="left" rowspan="1" colspan="1">male</th><th align="left" rowspan="1" colspan="1">other</th><th align="left" rowspan="1" colspan="1">3</th><th align="left" rowspan="1" colspan="1">4</th><th align="left" rowspan="1" colspan="1">5</th><th align="left" rowspan="1" colspan="1">6</th><th align="left" rowspan="1" colspan="1">7</th><th align="left" rowspan="1" colspan="1">8</th><th align="left" rowspan="1" colspan="1">9</th></tr></thead><tbody><tr><td align="left" rowspan="1" colspan="1">0</td><td align="left" rowspan="1" colspan="1">11,867 (100%)</td><td align="left" rowspan="1" colspan="1">9;11</td><td align="left" rowspan="1" colspan="1">0;8</td><td align="left" rowspan="1" colspan="1">8;11–11;1</td><td align="left" rowspan="1" colspan="1">5,676 (47.8%)</td><td align="left" rowspan="1" colspan="1">6,190 (52.2%)</td><td align="left" rowspan="1" colspan="1">1<break/><break/>(0.0%)</td><td align="left" rowspan="1" colspan="1">2,032 (17.1%)</td><td align="left" rowspan="1" colspan="1">5,415 (45.6%)</td><td align="left" rowspan="1" colspan="1">3,984 (33.6%)</td><td align="left" rowspan="1" colspan="1">358 (3.0%)</td><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1"/></tr><tr><td align="left" rowspan="1" colspan="1">1</td><td align="left" rowspan="1" colspan="1">11,219 (94.5%)</td><td align="left" rowspan="1" colspan="1">10;11</td><td align="left" rowspan="1" colspan="1">0;8</td><td align="left" rowspan="1" colspan="1">9;8–12;5</td><td align="left" rowspan="1" colspan="1">5,341 (47.6%)</td><td align="left" rowspan="1" colspan="1">5,863 (52.2%)</td><td align="left" rowspan="1" colspan="1">15 (0.1%)</td><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">1,958 (17.5%)</td><td align="left" rowspan="1" colspan="1">4,963 (44.2%)</td><td align="left" rowspan="1" colspan="1">3,796 (33.8%)</td><td align="left" rowspan="1" colspan="1">399 (3.6%)</td><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1"/></tr><tr><td align="left" rowspan="1" colspan="1">2</td><td align="left" rowspan="1" colspan="1">10,972 (92.4%)</td><td align="left" rowspan="1" colspan="1">12;0</td><td align="left" rowspan="1" colspan="1">0;8</td><td align="left" rowspan="1" colspan="1">10;7–14;0</td><td align="left" rowspan="1" colspan="1">5,180 (47.2%)</td><td align="left" rowspan="1" colspan="1">5,722 (52.2%)</td><td align="left" rowspan="1" colspan="1">70 (0.6%)</td><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">1,469 (13.4%)</td><td align="left" rowspan="1" colspan="1">4,820 (43.9%)</td><td align="left" rowspan="1" colspan="1">3,856 (35.1%)</td><td align="left" rowspan="1" colspan="1">671 (6.1%)</td><td align="left" rowspan="1" colspan="1"/></tr><tr><td align="left" rowspan="1" colspan="1">3</td><td align="left" rowspan="1" colspan="1">10,335 (87.1%)</td><td align="left" rowspan="1" colspan="1">12;11</td><td align="left" rowspan="1" colspan="1">0;8</td><td align="left" rowspan="1" colspan="1">11;5–14;9</td><td align="left" rowspan="1" colspan="1">4,788 (46.3%)</td><td align="left" rowspan="1" colspan="1">5,319 (51.5%)</td><td align="left" rowspan="1" colspan="1">228 (2.2%)</td><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">2,009 (19.4%)</td><td align="left" rowspan="1" colspan="1">4,544 (44.0%)</td><td align="left" rowspan="1" colspan="1">3,123 (30.2%)</td><td align="left" rowspan="1" colspan="1">345 (3.3%)</td></tr></tbody></table></alternatives><table-wrap-foot><fn id="t001fn001"><p><italic toggle="yes">Note.</italic> T = time point; In the numbers regarding Grade, only those &gt; 100 were included.</p></fn></table-wrap-foot></table-wrap><p>The 21 research sites that collected data for the ABCD study obtained ethical permission via the central Institutional Review Board (cIRB) at the University of California, San Diego or via a local IRB [<xref rid="pone.0347582.ref047" ref-type="bibr">47</xref>]. Informed consent was obtained from both parents and children. The sample was recruited with the aim to obtain representativity for the US population with respect to age, gender, race and ethnicity, socio-economic status, and urbanicity. This aim was largely met, although children from rural areas were slightly underrepresented. For more information about the recruitment and sample, we refer to Garavan et al. [<xref rid="pone.0347582.ref046" ref-type="bibr">46</xref>].</p></sec><sec id="sec011"><title>Instruments</title><p>Learning outcomes were operationalized as the answer of the parent to the question “Please look at the list and pick the line that best describes your child’s grades in school last year”. The answer options were given in various ways to specify grades, in numbers, letters, as well as descriptions. For the analysis, we used the numbers: 1 = Excellent (A), 2 = Good (B), 3 = Average (C), 4 = Below Average (D), and 5 = Struggling a lot (F). If parents chose the answer option <italic toggle="yes">ungraded</italic> or <italic toggle="yes">not applicable</italic>, we recoded this answer into a missing value.</p><p>Symptoms of depression, anxiety, and ADHD are based on parent’s responses on the Child Behavior Checklist (CBCL) [<xref rid="pone.0347582.ref048" ref-type="bibr">48</xref>]. The CBCL is a parent-report questionnaire for assessing the behavior of school-aged children between 6 and 18 years of age. It consists of a total of 112 items that the parent answers on a 3-point Likert scale (not true, somewhat/ sometimes true, very true/ often true). We used the raw score on the DSM-oriented scales Depressive problems, Anxiety problems, and Attention Deficit/Hyperactivity problems, respectively. For these scales, the manual [<xref rid="pone.0347582.ref048" ref-type="bibr">48</xref>] reports a test-retest reliability of <italic toggle="yes">r</italic>= .80 −.93 and Cronbach’s alpha of.72 −.84. Higher raw scores indicate higher levels of problems.</p><p>With respect to validity, the CBCL has been shown to discriminate well between referred and non-referred children and correlate moderately to strongly with corresponding scales of the Behavior Assessment System for Children (BASC; <italic toggle="yes">r</italic> = .52 −.77) [<xref rid="pone.0347582.ref049" ref-type="bibr">49</xref>] and the Conners Parent Rating Scale Revised (CPRS-R; <italic toggle="yes">r</italic> = .71) [<xref rid="pone.0347582.ref050" ref-type="bibr">50</xref>]. We standardized the scores based on the data at baseline to enhance comparability and interpretation.</p></sec><sec id="sec012"><title>Data analysis</title><p>Data were prepared using RStudio [<xref rid="pone.0347582.ref051" ref-type="bibr">51</xref>] and analyzed using Mplus, version 8.6 [<xref rid="pone.0347582.ref052" ref-type="bibr">52</xref>]. In a first step, we calculated descriptive statistics for all variables of interest, taking into account gender. Because the results hinted at gender differences, we included gender in the further analyses as a covariate. Gender was coded as male = 0 and female = 1 in the dataset.</p><sec id="sec013"><title>Research question 1.</title><p>We examined the shape of the developmental trajectories with latent change score modelling. Specifically, we tested the following models for school records, anxiety symptoms, and depressive symptoms:</p><list list-type="simple"><list-item><label>a)</label><p>No change model (equivalent to the intercept-only model in the latent growth model [LGM] framework)</p></list-item><list-item><label>b)</label><p>Constant change model (equivalent to the linear growth model in the LGM framework)</p></list-item><list-item><label>c)</label><p>Linear change model (equivalent to the quadratic growth model in the LGM framework)</p></list-item><list-item><label>d)</label><p>Dual change score model</p></list-item></list><p>We constrained the residual variances of the indicators to be equal across time for model parsimony, but released this constraint for single or all indicators if modification indices indicated a model misspecification concerning this matter. The expectation was that the developmental trajectories would represent a linear latent change model or a dual change model.</p><p>To answer the research questions, we examined (a) the mean and the variance of the intercept factors and the slope factors, (b) the covariances between the intercept and the slope factors, and (c) the estimates of the proportional change parameters. We used the final longitudinal models obtained at this stage as a basis for the models related to research question 2.</p></sec><sec id="sec014"><title>Research question 2.</title><p>We used two different Bivariate Latent Change Score Models (BLCSM) [<xref rid="pone.0347582.ref053" ref-type="bibr">53</xref>] for testing the longitudinal relation between school records on the one side and depressive and anxiety symptoms, respectively, on the other. Based on the final latent change score models of the previous stage we included coupling (across variable) effects. The models were built stepwise, from simple to complex:</p><list list-type="simple"><list-item><label>1)</label><p>No coupling model (i.e., fixing both coupling parameters to 0)</p></list-item><list-item><label>2)</label><p>Two unidirectional coupling models where either one of the coupling parameters is estimated</p></list-item><list-item><label>3)</label><p>Full coupling model where both coupling parameters are jointly estimated</p></list-item></list><p>We put equality constraints on the coupling parameters suggesting constant dynamics. These constraints could be released for a single or all indicators if modification indices indicated a model misspecification concerning this matter. To evaluate the significance of the coupling parameters, we compared the resulting models 1–3 using the Satorra-Bentler scaled chi-square difference test to examine which of the specified models fit the data best.</p><p>For the final models, we also examined the associations between the intercept factors and slope factors across constructs (i.e., how level and change in school records is associated with level and change in anxiety/depression and vice versa). In bivariate change models, the intercorrelation between all slope factors and intercept factors is usually freely estimated per default. Concerning this assumption of correlated growths and intercepts, we, in addition, tested alternative model restrictions of the final bivariate change models, in that we specified (a) the slope covariances at zero, (b) slope intercept and covariances across constructs at zero, and (c) all connections over time at zero. Again, the resulting models were compared with the Satorra-Bentler scaled chi-square difference test.</p><p>The final bivariate latent change score models obtained at this stage formed the basis for the models related to research question 3.</p></sec><sec id="sec015"><title>Research question 3.</title><p>We added ADHD symptoms to the model longitudinally in the BLCSMs obtained at stage 2, resulting in trivariate LCSMs. We followed the steps as described above for the bivariate model (Models 1–3) for the relation of ADHD with both anxiety/ depression and with school records. To answer the Research Questions 3.a.iii and 3.b.ii (e.g., if ADHD explains a possible relation between anxiety/depression and school records), we examined the following combination of effects:</p><p>Combination 1:</p><list list-type="simple"><list-item><label>a)</label><p>an effect from ADHD on school records at the next time point,</p></list-item><list-item><label>b)</label><p>a correlation between ADHD and depression/ anxiety at the same time point, and</p></list-item><list-item><label>c)</label><p>a nonsignificant or decreased effect from depression/ anxiety to school records at the next time point, compared to the model without ADHD;</p></list-item></list><p>Combination 2:</p><list list-type="simple"><list-item><label>a)</label><p>an effect from ADHD to depression/ anxiety at the next time point,</p></list-item><list-item><label>b)</label><p>a correlation between ADHD and school records at the same time point, and</p></list-item><list-item><label>c)</label><p>a nonsignificant or decreased effect from school records to depression/ anxiety at the next time point, compared to the model without ADHD.</p></list-item></list><p>Children are nested in families and families are nested within sites. For study site, the ICCs ranged between 0.00 und 0.02. When we took into account the sites as a covariate, none of the regression coefficients were statistically significant. Therefore, and because of the low ICCs, we decided that controlling for study site was not necessary and used a two-level model controlling for the family level using “TYPE = COMPLEX” in Mplus.</p></sec></sec><sec id="sec016"><title>Statistical criteria</title><p>We used an alpha level of.05 and judged model fit using the chi-squared test. Because the chi-squared test is sensitive to large sample sizes, we additionally used the criterion chi/df ratio &lt; 2 [<xref rid="pone.0347582.ref054" ref-type="bibr">54</xref>]. Regarding fit indices, we used the root mean square error of approximation (RMSEA) ≤.06 and comparative fit index (CFI) ≥.95. Model comparison was based on the adjusted chi-squared difference test using the Satorra-Bentler scaling correction [<xref rid="pone.0347582.ref055" ref-type="bibr">55</xref>] and the mentioned fit indices. In addition, the dual change score model was only chosen in case of a significant proportional change component.</p><p>For all models, we used the robust Maximum Likelihood (MLR) estimator in MPlus. To test the specific hypotheses formulated, we looked if the result of interest (intercept, slope, constant change, proportional change, or coupling effect) was significant.</p></sec></sec><sec sec-type="results" id="sec017"><title>Results</title><sec id="sec018"><title>Descriptives</title><p><xref rid="pone.0347582.t002" ref-type="table">Table 2</xref> shows the descriptive statistics for the school records and levels of depression, anxiety, and ADHD symptoms for each time point by gender. For gender we used the variable indicating the sex of the child, because this was the variable with the least missing data. The three cases with missing values for sex had indicated being <italic toggle="yes">male</italic> as gender and data were recoded accordingly. The sample size differed slightly for each variable due to missing data. See <xref rid="pone.0347582.s001" ref-type="supplementary-material">S1 Table</xref> for the exact sample sizes.</p><table-wrap position="float" id="pone.0347582.t002" orientation="portrait"><object-id pub-id-type="doi">10.1371/journal.pone.0347582.t002</object-id><label>Table 2</label><caption><title><italic toggle="yes">M</italic> (<italic toggle="yes">SD</italic>) for Standardized Scores per Time Point and by Gender as well as <italic toggle="yes">t</italic>-test Results for Differences Between Females and Males.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0347582.t002g" position="float" orientation="portrait" xlink:href="pone.0347582.t002.jpg"><?image-name pone.0347582.t002.jpg?><?image-size 108795?><?image-md5 d04208a7c223b86e1ee74fe157b4ccf6?><?image-image-server-status LOAD_COMPLETED?><?image-original-height 2104?><?image-original-width 4500?><?image-scaled-height 351?><?image-scaled-width 750?><?image-cloudpmc-urn urn:cdn:blobs/37b7/13138621/d04208a7c223/pone.0347582.t002.jpg?><?thumb-name pone.0347582.t002.gif?><?thumb-size 13963?><?thumb-md5 e1c85fc5b6052f9e3f75b4e44a8ecaad?><?thumb-image-server-status NEVER_LOAD?><?thumb-scaled-height 80?><?thumb-scaled-width 171?><?thumb-cloudpmc-urn urn:cdn:blobs/37b7/13138621/e1c85fc5b605/pone.0347582.t002.gif?></graphic><table frame="hsides" rules="groups"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th align="left" rowspan="1" colspan="1">Time point</th><th align="left" rowspan="1" colspan="1">Gender</th><th align="left" rowspan="1" colspan="1">School records</th><th align="left" rowspan="1" colspan="1">Depression</th><th align="left" rowspan="1" colspan="1">Anxiety</th><th align="left" rowspan="1" colspan="1">ADHD symptoms</th></tr></thead><tbody><tr><td align="left" rowspan="1" colspan="1">0</td><td align="left" rowspan="1" colspan="1">Female</td><td align="left" rowspan="1" colspan="1">1.60 (0.74)</td><td align="left" rowspan="1" colspan="1">−0.06 (0.94)</td><td align="left" rowspan="1" colspan="1">0.00 (0.99)</td><td align="left" rowspan="1" colspan="1">−0.17 (0.89)</td></tr><tr><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">Male</td><td align="left" rowspan="1" colspan="1">1.77 (0.84)</td><td align="left" rowspan="1" colspan="1">0.06 (1.05)</td><td align="left" rowspan="1" colspan="1">0.00 (1.01)</td><td align="left" rowspan="1" colspan="1">0.16 (1.07)</td></tr><tr><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">Diff.</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(10,930) = 11.67**</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(11,855) = 6.33**</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(11,810) = 0.19</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(11,760) = 18.21**</td></tr><tr><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">Total</td><td align="left" rowspan="1" colspan="1">1.69 (0.80)</td><td align="left" rowspan="1" colspan="1">0.00 (1.00)</td><td align="left" rowspan="1" colspan="1">0.00 (1.00)</td><td align="left" rowspan="1" colspan="1">0.00 (1.00)</td></tr><tr><td align="left" rowspan="1" colspan="1">1</td><td align="left" rowspan="1" colspan="1">Female</td><td align="left" rowspan="1" colspan="1">1.58 (0.75)</td><td align="left" rowspan="1" colspan="1">0.01 (1.04)</td><td align="left" rowspan="1" colspan="1">0.01 (1.00)</td><td align="left" rowspan="1" colspan="1">−0.21 (0.86)</td></tr><tr><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">Male</td><td align="left" rowspan="1" colspan="1">1.78 (0.84)</td><td align="left" rowspan="1" colspan="1">0.11 (1.13)</td><td align="left" rowspan="1" colspan="1">−0.01 (1.02)</td><td align="left" rowspan="1" colspan="1">0.09 (1.04)</td></tr><tr><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">Diff.</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(10,441) = 12.67**</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(11,198) = 5.13**</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(11,134) = −1.03</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(11,104) = 16.44**</td></tr><tr><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">Total</td><td align="left" rowspan="1" colspan="1">1.68 (0.80)</td><td align="left" rowspan="1" colspan="1">0.06 (1.09)</td><td align="left" rowspan="1" colspan="1">0.00 (1.01)</td><td align="left" rowspan="1" colspan="1">−0.06 (0.97)</td></tr><tr><td align="left" rowspan="1" colspan="1">2</td><td align="left" rowspan="1" colspan="1">Female</td><td align="left" rowspan="1" colspan="1">1.59 (0.77)</td><td align="left" rowspan="1" colspan="1">0.09 (1.12)</td><td align="left" rowspan="1" colspan="1">−0.07 (0.96)</td><td align="left" rowspan="1" colspan="1">−0.27 (.82)</td></tr><tr><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">Male</td><td align="left" rowspan="1" colspan="1">1.78 (0.85)</td><td align="left" rowspan="1" colspan="1">0.11 (1.10)</td><td align="left" rowspan="1" colspan="1">−0.13 (0.94)</td><td align="left" rowspan="1" colspan="1">0.03 (1.00)</td></tr><tr><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">Diff.</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(10,264) = 12.14**</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(7,975.1) = 1.01</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(7,982.7) = -2.66**</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(7,993.1) = 14.79**</td></tr><tr><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">Total</td><td align="left" rowspan="1" colspan="1">1.69 (0.82)</td><td align="left" rowspan="1" colspan="1">0.10 (1.11)</td><td align="left" rowspan="1" colspan="1">−0.10 (0.95)</td><td align="left" rowspan="1" colspan="1">−0.11 (0.93)</td></tr><tr><td align="left" rowspan="1" colspan="1">3</td><td align="left" rowspan="1" colspan="1">Female</td><td align="left" rowspan="1" colspan="1">1.59 (0.78)</td><td align="left" rowspan="1" colspan="1">0.24 (1.29)</td><td align="left" rowspan="1" colspan="1">−0.04 (.99)</td><td align="left" rowspan="1" colspan="1">−0.27 (0.81)</td></tr><tr><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">Male</td><td align="left" rowspan="1" colspan="1">1.81 (0.88)</td><td align="left" rowspan="1" colspan="1">0.17 (1.16)</td><td align="left" rowspan="1" colspan="1">−0.15 (0.93)</td><td align="left" rowspan="1" colspan="1">0.03 (1.00)</td></tr><tr><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">Diff.</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(9,398.4) = 13.31**</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(7,356.7) = -2.42*</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(7,476.1) = -4.74**</td><td align="left" rowspan="1" colspan="1"><italic toggle="yes">t</italic>(7,556.1) = 14.32**</td></tr><tr><td align="left" rowspan="1" colspan="1"/><td align="left" rowspan="1" colspan="1">Total</td><td align="left" rowspan="1" colspan="1">1.71 (0.84)</td><td align="left" rowspan="1" colspan="1">0.20 (1.23)</td><td align="left" rowspan="1" colspan="1">−0.10 (0.96)</td><td align="left" rowspan="1" colspan="1">−0.11 (0.93)</td></tr></tbody></table></alternatives><table-wrap-foot><fn id="t002fn001"><p><italic toggle="yes">Note.</italic> Diff. = Difference between females and males; * = <italic toggle="yes">p</italic> &lt;.05; ** = <italic toggle="yes">p</italic> &lt;.01.</p></fn></table-wrap-foot></table-wrap></sec><sec id="sec019"><title>Developmental trajectories</title><p><xref rid="pone.0347582.t003" ref-type="table">Table 3</xref> shows the model fit for the various models evaluated with respect to the developmental trajectories (research question 1).</p><table-wrap position="float" id="pone.0347582.t003" orientation="portrait"><object-id pub-id-type="doi">10.1371/journal.pone.0347582.t003</object-id><label>Table 3</label><caption><title>Fit Statistics for the Models for Evaluating the Developmental Trajectories.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0347582.t003g" position="float" orientation="portrait" xlink:href="pone.0347582.t003.jpg"><?image-name pone.0347582.t003.jpg?><?image-size 253376?><?image-md5 2df3ab46aaf6f39429e4359225ef1a1a?><?image-image-server-status LOAD_COMPLETED?><?image-original-height 5960?><?image-original-width 4500?><?image-scaled-height 993?><?image-scaled-width 750?><?image-cloudpmc-urn urn:cdn:blobs/37b7/13138621/2df3ab46aaf6/pone.0347582.t003.jpg?><?thumb-name pone.0347582.t003.gif?><?thumb-size 17790?><?thumb-md5 88b734de4ef79bd97e96650925d0c8a9?><?thumb-image-server-status NEVER_LOAD?><?thumb-scaled-height 132?><?thumb-scaled-width 100?><?thumb-cloudpmc-urn urn:cdn:blobs/37b7/13138621/88b734de4ef7/pone.0347582.t003.gif?></graphic><table frame="hsides" rules="groups"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th align="left" rowspan="1" colspan="1"/><th align="left" rowspan="1" colspan="1">Model</th><th align="left" rowspan="1" colspan="1">χ2 (df)</th><th align="left" rowspan="1" colspan="1">SCF</th><th align="left" rowspan="1" colspan="1">RMSEA<break/><break/>[90% CI]</th><th align="left" rowspan="1" colspan="1">CFI</th><th align="left" rowspan="1" colspan="1">TLI</th><th align="left" rowspan="1" colspan="1">SRMR</th><th align="left" rowspan="1" colspan="1">AIC</th><th align="left" rowspan="1" colspan="1">sa-BIC</th></tr></thead><tbody><tr><td align="left" rowspan="6" colspan="1">SR<break/><break/>(<italic toggle="yes">N</italic> = 11,799)</td><td align="left" rowspan="1" colspan="1">a. no growth</td><td align="left" rowspan="1" colspan="1">657.306 (14)</td><td align="left" rowspan="1" colspan="1">1.5148</td><td align="left" rowspan="1" colspan="1">.062<break/><break/>[.058,.067]</td><td align="left" rowspan="1" colspan="1">.941</td><td align="left" rowspan="1" colspan="1">.958</td><td align="left" rowspan="1" colspan="1">.043</td><td align="left" rowspan="1" colspan="1">82,205.294</td><td align="left" rowspan="1" colspan="1">82,222.086</td></tr><tr><td align="left" rowspan="1" colspan="1">b1. constant change</td><td align="left" rowspan="1" colspan="1">613.080 (12)</td><td align="left" rowspan="1" colspan="1">1.5318</td><td align="left" rowspan="1" colspan="1">.065<break/><break/>[.061,.070]</td><td align="left" rowspan="1" colspan="1">.945</td><td align="left" rowspan="1" colspan="1">.954</td><td align="left" rowspan="1" colspan="1">.045</td><td align="left" rowspan="1" colspan="1">82,152.684</td><td align="left" rowspan="1" colspan="1">82,177.871</td></tr><tr><td align="left" rowspan="1" colspan="1">b2. = b1 with random slope</td><td align="left" rowspan="1" colspan="1">97.773 (10)</td><td align="left" rowspan="1" colspan="1">1.5735</td><td align="left" rowspan="1" colspan="1">.027<break/><break/>[.023,.032]</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.026</td><td align="left" rowspan="1" colspan="1">81,371.435</td><td align="left" rowspan="1" colspan="1">81,405.018</td></tr><tr><td align="left" rowspan="1" colspan="1">c1. linear change</td><td align="left" rowspan="1" colspan="1">87.629 (8)</td><td align="left" rowspan="1" colspan="1">1.6968</td><td align="left" rowspan="1" colspan="1">.029<break/><break/>[.024,.035]</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.991</td><td align="left" rowspan="1" colspan="1">.026</td><td align="left" rowspan="1" colspan="1">81,370.284</td><td align="left" rowspan="1" colspan="1">81,412.263</td></tr><tr><td align="left" rowspan="1" colspan="1">d1. dual change score</td><td align="left" rowspan="1" colspan="1">90.422 (9)</td><td align="left" rowspan="1" colspan="1">1.5302</td><td align="left" rowspan="1" colspan="1">.028<break/><break/>[.023,.033]</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.026</td><td align="left" rowspan="1" colspan="1">81,357.957</td><td align="left" rowspan="1" colspan="1">81,395.738</td></tr><tr><td align="left" rowspan="1" colspan="1">d2. = d1. with free autoproportions</td><td align="left" rowspan="1" colspan="1">87.993 (7)</td><td align="left" rowspan="1" colspan="1">1.5168</td><td align="left" rowspan="1" colspan="1">.031<break/><break/>[.026,.037]</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.989</td><td align="left" rowspan="1" colspan="1">.026</td><td align="left" rowspan="1" colspan="1">81,357.057</td><td align="left" rowspan="1" colspan="1">81,403.234</td></tr><tr><td align="left" rowspan="7" colspan="1">Anxiety<break/><break/>(<italic toggle="yes">N</italic> = 11,866)</td><td align="left" rowspan="1" colspan="1">a. no growth</td><td align="left" rowspan="1" colspan="1">394.299 (14)</td><td align="left" rowspan="1" colspan="1">1.782</td><td align="left" rowspan="1" colspan="1">.048<break/><break/>[.044,.052]</td><td align="left" rowspan="1" colspan="1">.962</td><td align="left" rowspan="1" colspan="1">.973</td><td align="left" rowspan="1" colspan="1">.041</td><td align="left" rowspan="1" colspan="1">92,388.627</td><td align="left" rowspan="1" colspan="1">92,405.442</td></tr><tr><td align="left" rowspan="1" colspan="1">b1. constant change</td><td align="left" rowspan="1" colspan="1">274.641 (12)</td><td align="left" rowspan="1" colspan="1">1.8636</td><td align="left" rowspan="1" colspan="1">.043<break/><break/>[.039,.047]</td><td align="left" rowspan="1" colspan="1">.974</td><td align="left" rowspan="1" colspan="1">.978</td><td align="left" rowspan="1" colspan="1">.034</td><td align="left" rowspan="1" colspan="1">92,201.793</td><td align="left" rowspan="1" colspan="1">92,227.014</td></tr><tr><td align="left" rowspan="1" colspan="1">b2. = b1 with random slope</td><td align="left" rowspan="1" colspan="1">84.183 (10)</td><td align="left" rowspan="1" colspan="1">1.8006</td><td align="left" rowspan="1" colspan="1">.025<break/><break/>[.020,.030]</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.023</td><td align="left" rowspan="1" colspan="1">91,845.553</td><td align="left" rowspan="1" colspan="1">91,879.181</td></tr><tr><td align="left" rowspan="1" colspan="1">c1. linear change</td><td align="left" rowspan="1" colspan="1">75.070 (8)</td><td align="left" rowspan="1" colspan="1">1.9836</td><td align="left" rowspan="1" colspan="1">.027<break/><break/>[.021,.032]</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.023</td><td align="left" rowspan="1" colspan="1">91,846.877</td><td align="left" rowspan="1" colspan="1">91,888.912</td></tr><tr><td align="left" rowspan="1" colspan="1">c2. c1 with random slope</td><td align="left" rowspan="1" colspan="1">74.417 (7)</td><td align="left" rowspan="1" colspan="1">1.8930</td><td align="left" rowspan="1" colspan="1">.028<break/><break/>[.023,.035]</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.990</td><td align="left" rowspan="1" colspan="1">.022</td><td align="left" rowspan="1" colspan="1">91,840.838</td><td align="left" rowspan="1" colspan="1">91,887.077</td></tr><tr><td align="left" rowspan="1" colspan="1">d1. dual change score</td><td align="left" rowspan="1" colspan="1">87.210 (9)</td><td align="left" rowspan="1" colspan="1">1.7373</td><td align="left" rowspan="1" colspan="1">.027<break/><break/>[.022,.032]</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.991</td><td align="left" rowspan="1" colspan="1">.022</td><td align="left" rowspan="1" colspan="1">91,847.481</td><td align="left" rowspan="1" colspan="1">91,885.313</td></tr><tr><td align="left" rowspan="1" colspan="1">d2. = d1. with free autoproportions</td><td align="left" rowspan="1" colspan="1">59.223 (7)</td><td align="left" rowspan="1" colspan="1">1.6371</td><td align="left" rowspan="1" colspan="1">.025<break/><break/>[.019,.031]</td><td align="left" rowspan="1" colspan="1">.995</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.013</td><td align="left" rowspan="1" colspan="1">91,796.920</td><td align="left" rowspan="1" colspan="1">91,843.159</td></tr><tr><td align="left" rowspan="8" colspan="1">Depres-sion<break/><break/>(<italic toggle="yes">N</italic> = 11,866)</td><td align="left" rowspan="1" colspan="1">a. no growth</td><td align="left" rowspan="1" colspan="1">734.796 (14)</td><td align="left" rowspan="1" colspan="1">2.4894</td><td align="left" rowspan="1" colspan="1">.066<break/><break/>[.062,.070]</td><td align="left" rowspan="1" colspan="1">.889</td><td align="left" rowspan="1" colspan="1">.921</td><td align="left" rowspan="1" colspan="1">.085</td><td align="left" rowspan="1" colspan="1">103,709.951</td><td align="left" rowspan="1" colspan="1">103,726.765</td></tr><tr><td align="left" rowspan="1" colspan="1">b1. constant change</td><td align="left" rowspan="1" colspan="1">500.069 (12)</td><td align="left" rowspan="1" colspan="1">2.6767</td><td align="left" rowspan="1" colspan="1">.059<break/><break/>[.054,.063]</td><td align="left" rowspan="1" colspan="1">.925</td><td align="left" rowspan="1" colspan="1">.937</td><td align="left" rowspan="1" colspan="1">.078</td><td align="left" rowspan="1" colspan="1">103,223.249</td><td align="left" rowspan="1" colspan="1">103,248.470</td></tr><tr><td align="left" rowspan="1" colspan="1">b2. = b1 with random slope</td><td align="left" rowspan="1" colspan="1">148.810 (10)</td><td align="left" rowspan="1" colspan="1">2.5869</td><td align="left" rowspan="1" colspan="1">.034<break/><break/>[.029,.039]</td><td align="left" rowspan="1" colspan="1">.979</td><td align="left" rowspan="1" colspan="1">.979</td><td align="left" rowspan="1" colspan="1">.033</td><td align="left" rowspan="1" colspan="1">102,273.686</td><td align="left" rowspan="1" colspan="1">102,307.314</td></tr><tr><td align="left" rowspan="1" colspan="1">c1. linear change</td><td align="left" rowspan="1" colspan="1">123.064 (8)</td><td align="left" rowspan="1" colspan="1">2.9504</td><td align="left" rowspan="1" colspan="1">.035<break/><break/>[.030,.040]</td><td align="left" rowspan="1" colspan="1">.982</td><td align="left" rowspan="1" colspan="1">.978</td><td align="left" rowspan="1" colspan="1">.032</td><td align="left" rowspan="1" colspan="1">102,255.814</td><td align="left" rowspan="1" colspan="1">102,297.849</td></tr><tr><td align="left" rowspan="1" colspan="1">c2. c1 with random slope</td><td align="left" rowspan="1" colspan="1">77.285 (7)</td><td align="left" rowspan="1" colspan="1">2.8461</td><td align="left" rowspan="1" colspan="1">.029<break/><break/>[.023,.035]</td><td align="left" rowspan="1" colspan="1">.989</td><td align="left" rowspan="1" colspan="1">.985</td><td align="left" rowspan="1" colspan="1">.032</td><td align="left" rowspan="1" colspan="1">102,114.687</td><td align="left" rowspan="1" colspan="1">102,160.926</td></tr><tr><td align="left" rowspan="1" colspan="1">d1. dual change score</td><td align="left" rowspan="1" colspan="1">98.560 (9)</td><td align="left" rowspan="1" colspan="1">2.3558</td><td align="left" rowspan="1" colspan="1">.029<break/><break/>[.024,.034]</td><td align="left" rowspan="1" colspan="1">.986</td><td align="left" rowspan="1" colspan="1">.985</td><td align="left" rowspan="1" colspan="1">.033</td><td align="left" rowspan="1" colspan="1">102,122.918</td><td align="left" rowspan="1" colspan="1">102,160.750</td></tr><tr><td align="left" rowspan="1" colspan="1">d2. = d1. with free autoproportions</td><td align="left" rowspan="1" colspan="1">37.811 (7)</td><td align="left" rowspan="1" colspan="1">1.8828</td><td align="left" rowspan="1" colspan="1">.019<break/><break/>[.014,.025]</td><td align="left" rowspan="1" colspan="1">.995</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.011</td><td align="left" rowspan="1" colspan="1">101,965.916</td><td align="left" rowspan="1" colspan="1">102,012.155</td></tr><tr><td align="left" rowspan="1" colspan="1">d3. = d1. with autoproportion for first component free</td><td align="left" rowspan="1" colspan="1">32.006 (8)</td><td align="left" rowspan="1" colspan="1">2.2307</td><td align="left" rowspan="1" colspan="1">.016<break/><break/>[.010,.022]</td><td align="left" rowspan="1" colspan="1">.996</td><td align="left" rowspan="1" colspan="1">.995</td><td align="left" rowspan="1" colspan="1">.012</td><td align="left" rowspan="1" colspan="1">101,964.121</td><td align="left" rowspan="1" colspan="1">102,006.156</td></tr><tr><td align="left" rowspan="7" colspan="1">ADHD<break/><break/>(<italic toggle="yes">N</italic> = 11,866)</td><td align="left" rowspan="1" colspan="1">a. no growth</td><td align="left" rowspan="1" colspan="1">507.394 (14)</td><td align="left" rowspan="1" colspan="1">1.5164</td><td align="left" rowspan="1" colspan="1">.054<break/><break/>[.050,.059]</td><td align="left" rowspan="1" colspan="1">.968</td><td align="left" rowspan="1" colspan="1">.977</td><td align="left" rowspan="1" colspan="1">.039</td><td align="left" rowspan="1" colspan="1">82,321.230</td><td align="left" rowspan="1" colspan="1">82,338.045</td></tr><tr><td align="left" rowspan="1" colspan="1">b1. constant change</td><td align="left" rowspan="1" colspan="1">365.684 (12)</td><td align="left" rowspan="1" colspan="1">1.5540</td><td align="left" rowspan="1" colspan="1">.050<break/><break/>[.046,.054]</td><td align="left" rowspan="1" colspan="1">.977</td><td align="left" rowspan="1" colspan="1">.981</td><td align="left" rowspan="1" colspan="1">.033</td><td align="left" rowspan="1" colspan="1">82,124.070</td><td align="left" rowspan="1" colspan="1">82,149.292</td></tr><tr><td align="left" rowspan="1" colspan="1">b2. = b1 with random slope</td><td align="left" rowspan="1" colspan="1">61.520 (10)</td><td align="left" rowspan="1" colspan="1">1.5685</td><td align="left" rowspan="1" colspan="1">.021<break/><break/>[.016,.026]</td><td align="left" rowspan="1" colspan="1">.997</td><td align="left" rowspan="1" colspan="1">.997</td><td align="left" rowspan="1" colspan="1">.011</td><td align="left" rowspan="1" colspan="1">81,656.301</td><td align="left" rowspan="1" colspan="1">81,689.930</td></tr><tr><td align="left" rowspan="1" colspan="1">c1. linear change</td><td align="left" rowspan="1" colspan="1">37.628 (8)</td><td align="left" rowspan="1" colspan="1">1.6910</td><td align="left" rowspan="1" colspan="1">.018<break/><break/>[.012,.024]</td><td align="left" rowspan="1" colspan="1">.998</td><td align="left" rowspan="1" colspan="1">.998</td><td align="left" rowspan="1" colspan="1">.009</td><td align="left" rowspan="1" colspan="1">81,627.436</td><td align="left" rowspan="1" colspan="1">81,669.471</td></tr><tr><td align="left" rowspan="1" colspan="1">d1. dual change score</td><td align="left" rowspan="1" colspan="1">52.787 (9)</td><td align="left" rowspan="1" colspan="1">1.4992</td><td align="left" rowspan="1" colspan="1">.020<break/><break/>[.015,.026]</td><td align="left" rowspan="1" colspan="1">.997</td><td align="left" rowspan="1" colspan="1">.997</td><td align="left" rowspan="1" colspan="1">.012</td><td align="left" rowspan="1" colspan="1">81,640.943</td><td align="left" rowspan="1" colspan="1">81,678.775</td></tr><tr><td align="left" rowspan="1" colspan="1">d2. = d1. with free autoproportions</td><td align="left" rowspan="1" colspan="1">39.330 (7)</td><td align="left" rowspan="1" colspan="1">1.5232</td><td align="left" rowspan="1" colspan="1">.020<break/><break/>[.014,.026]</td><td align="left" rowspan="1" colspan="1">.998</td><td align="left" rowspan="1" colspan="1">.997</td><td align="left" rowspan="1" colspan="1">.008</td><td align="left" rowspan="1" colspan="1">81,625.710</td><td align="left" rowspan="1" colspan="1">81,671.949</td></tr><tr><td align="left" rowspan="1" colspan="1">d3. = d1. with autoproportion for first component free</td><td align="left" rowspan="1" colspan="1">39.970 (8)</td><td align="left" rowspan="1" colspan="1">1.5050</td><td align="left" rowspan="1" colspan="1">.018<break/><break/>[.013,.024]</td><td align="left" rowspan="1" colspan="1">.998</td><td align="left" rowspan="1" colspan="1">.997</td><td align="left" rowspan="1" colspan="1">.008</td><td align="left" rowspan="1" colspan="1">81,623.962</td><td align="left" rowspan="1" colspan="1">81,665.998</td></tr></tbody></table></alternatives><table-wrap-foot><fn id="t003fn001"><p><italic toggle="yes">Note.</italic> SR = School Records; SCF = Scaling Factor; RMSEA = Root Mean Square Error of Approximation; CFI = Comparative Fit index; TLI = Tucker-Lewis Index; SRMR = Root Mean Square Residual; AIC = Akaike Information Criterion; sa-BIC = sample size-adjusted Bayesian Information Criterion; The ratio chi/df is &gt; 2 in all models.</p></fn></table-wrap-foot></table-wrap><sec id="sec020"><title>School records.</title><p>As shown in <xref rid="pone.0347582.t003" ref-type="table">Table 3</xref>, the RMSEA had an optimal value for the constant change model with random slope but was almost identical for the dual change score model. The Satorra-Bentler chi-squared (SB-χ<sup>2</sup>) test showed the dual change score model (d1, see <xref rid="pone.0347582.t003" ref-type="table">Table 3</xref>) to be the optimal model. More specifically, it fitted better compared to the no growth model (SB-χ<sup>2</sup> = 576.51; df = 5; <italic toggle="yes">p</italic> &lt; .01) as well as the constant change models with fixed (SB-χ<sup>2</sup> = 521.12; df = 3; <italic toggle="yes">p</italic> &lt; .01) or random slope (SB-χ<sup>2</sup> = 7.89; df = 1; <italic toggle="yes">p</italic> &lt; .01). The linear change model did not fit better than the constant change model with random slope (SB-χ<sup>2</sup> = 4.77; df = 2; <italic toggle="yes">p</italic> = .092), which had a better fit than the one with fixed slope (SB-χ<sup>2</sup> = 593.42; df = 2; <italic toggle="yes">p</italic> &lt; .01).</p><p>The model results of the dual change score model (d1) showed an intercept of 1.771 (<italic toggle="yes">p</italic>&lt; .01; variance 0.446, <italic toggle="yes">p</italic> &lt; .01) and a negative constant change component (−0.299, <italic toggle="yes">p</italic> = .016; variance 0.043, <italic toggle="yes">p</italic> &lt; .01). Lower values for school records reflect better achievement, which means that this negative value reflects an improvement in grades over the years. The estimate for the proportional change component, reflecting the change in school records between time points based on the level of the previous time point, was 0.180 (<italic toggle="yes">p</italic> = .010). The combination of the constant change and proportional change components results in a relatively stable trajectory of school records across the years, with a slight increase (declining performance between time points of 0.015 on average). The intercept was negatively related to the constant change component (σ = −0.104, <italic toggle="yes">p</italic> &lt; .01). The constant change component was not related to gender, but females had better grades at baseline compared to males (β = −0.171, <italic toggle="yes">p</italic> &lt; .01). <xref rid="pone.0347582.g001" ref-type="fig">Fig 1</xref> visualizes the developmental trajectories for males and females separately.</p><fig position="float" id="pone.0347582.g001" orientation="portrait"><object-id pub-id-type="doi">10.1371/journal.pone.0347582.g001</object-id><label>Fig 1</label><caption><title>Model-implied longitudinal trajectories for females (dashed lines) and males (solid lines) across four measurementpoints (T0–T3).</title><p><bold>(A)</bold> School grades (raw scores); <bold>(B)</bold> Anxiety symptoms (<italic toggle="yes">z</italic>-values); <bold>(C)</bold> Depression symptoms (<italic toggle="yes">z</italic>-values); <bold>(D)</bold> ADHD symptoms (<italic toggle="yes">z</italic>-values).</p></caption><graphic xmlns:xlink="http://www.w3.org/1999/xlink" position="float" orientation="portrait" xlink:href="pone.0347582.g001.jpg"><?image-name pone.0347582.g001.jpg?><?image-size 74225?><?image-md5 2218a85ebc619550d7d60cbb688ee25f?><?image-image-server-status LOAD_COMPLETED?><?image-original-height 1403?><?image-original-width 1995?><?image-scaled-height 561?><?image-scaled-width 798?><?image-cloudpmc-urn urn:cdn:blobs/37b7/13138621/2218a85ebc61/pone.0347582.g001.jpg?><?thumb-name pone.0347582.g001.gif?><?thumb-size 12594?><?thumb-md5 a3de5089638eaf36f815afc89c96eae9?><?thumb-image-server-status NEVER_LOAD?><?thumb-scaled-height 79?><?thumb-scaled-width 113?><?thumb-cloudpmc-urn urn:cdn:blobs/37b7/13138621/a3de5089638e/pone.0347582.g001.gif?></graphic></fig></sec><sec id="sec021"><title>Anxiety symptoms.</title><p>For symptoms of anxiety, the constant change model with random slopes (model b2) appeared to fit the data best. Although the fit criteria were very comparable between the constant change, linear change, and dual change score models (see <xref rid="pone.0347582.t003" ref-type="table">Table 3</xref>), the SB-χ<sup>2</sup> test showed that the constant change model with random slope fitted better compared to the one with fixed slope (SB-χ<sup>2</sup> = 165.35; df = 2; <italic toggle="yes">p</italic> &lt; .01), which, in turn, fitted better than the no growth model (SB-χ<sup>2</sup> = 147.65; df = 2; <italic toggle="yes">p</italic> &lt; .01). The linear change model nor the dual change score model fitted better than the constant change model with random slopes (SB-χ<sup>2</sup> = 3.71; df = 2; <italic toggle="yes">p</italic> = .156 and SB-χ<sup>2</sup> = 0.03; df = 1; <italic toggle="yes">p</italic> = .864, respectively). In addition, the proportionality components in the dual change score model were not significant (β = 0.02; <italic toggle="yes">p</italic> = .863), which speaks against this model.</p><p>The result of the constant change model with random slopes (model b2) showed that the intercept of 0.015 was not significantly different from zero (<italic toggle="yes">p</italic> = .261) but had a variance of 0.713 (<italic toggle="yes">p</italic> &lt; .01), showing that students differed in their predicted scores at baseline. The slope was −0.054 (<italic toggle="yes">p</italic> &lt; .01), reflecting an average decrease in anxiety between time points, which differed between students (residual variance = 0.027; <italic toggle="yes">p</italic> &lt; .01). The variability in scores at the different time points not accounted for by the model was 0.314 (<italic toggle="yes">p</italic> &lt; .01). There was a significant covariance between the intercept and slope (−0.048; <italic toggle="yes">p</italic> &lt; .01). The anxiety scores at baseline did not differ by gender (<italic toggle="yes">p</italic> = .556), but females showed slightly less decrease in anxiety between time points than males (β = 0.040; <italic toggle="yes">p</italic> &lt; .01).</p></sec><sec id="sec022"><title>Depression symptoms.</title><p>The developmental trajectory for symptoms of depression appeared to be reflected best by a dual change score model in which the first proportional change component was freely estimated and the other two were set to be equal (see model d3 in <xref rid="pone.0347582.t003" ref-type="table">Table 3</xref>). This was reflected not only in the fit criteria, but also in the results of the SB-χ<sup>2</sup> tests: A dual change score model fitted better than the no change model (SB-χ<sup>2</sup> = 585.01; df = 5; <italic toggle="yes">p</italic> &lt; .01) and the constant change model with fixed slope (SB-χ<sup>2</sup> = 303.99; df = 3; <italic toggle="yes">p</italic> &lt; .01) or random slope (SB-χ<sup>2</sup> = 32.74; df = 1; <italic toggle="yes">p</italic> &lt; .01). Further, the dual change score model fitted better when the proportional change components were freely estimated (SB-χ<sup>2</sup> = 40.14; df = 2; <italic toggle="yes">p</italic> &lt; .01) and even better when only the first component was freely estimated (SB-χ<sup>2</sup> = 0.04; df = 1; <italic toggle="yes">p</italic> = .834).</p><p>In the resulting model d3, the estimated depression score at baseline was 0.069 (<italic toggle="yes">p</italic> &lt; .01) with significant between child variability (variance = 0.598; <italic toggle="yes">p</italic> &lt; .01). The negative constant change component indicated a slight general decrease in depression levels over time (µ = −0.056; <italic toggle="yes">p</italic> = .011; residual variance = 0.680; <italic toggle="yes">p</italic> = .008), whereas the positive proportional change components of 1.194 (<italic toggle="yes">p</italic> &lt; .01; T0 to T1) and 0.882 (<italic toggle="yes">p</italic> &lt; .01; T1 to T2 and T2 to T3) suggested that individuals with higher symptom levels were at increased risk of symptom maintenance. Overall, this resulted in a progressive increase in symptoms over time. There was a significant negative covariance between the intercept and constant change component (σ = –.631, p &lt; .01). With respect to gender, females showed lower levels of depression at baseline (β = −0.115; <italic toggle="yes">p</italic> &lt; .01) and a less negative change (β = 0.153; <italic toggle="yes">p</italic> &lt; .01). The combination of a negative constant change with positive proportional change components, taking into account the gender effects, hints at a progressive increase in symptoms over time for females and only slight increase for males, see <xref rid="pone.0347582.g001" ref-type="fig">Fig 1</xref>.</p></sec><sec id="sec023"><title>ADHD.</title><p>Although not part of the first research question, the developmental trajectory for ADHD was evaluated as well, as a basis for the trivariate model related to research question 3. The results are comparable to those of depression: The optimal model was a dual change score model in which the first proportional change component was freely estimated and the other two were set to be equal. A dual change score model fitted better than the no change model (SB-χ<sup>2</sup> = 446.10; df = 5; <italic toggle="yes">p</italic> &lt; .01) and the constant change model with fixed slope (SB-χ<sub>2</sub> = 284.65; df = 3; <italic toggle="yes">p</italic> &lt; .01) or random slope (SB-χ<sup>2</sup> = 7.92; df = 1; <italic toggle="yes">p</italic> &lt; .01). A dual change score model fitted better when the proportional change components were freely estimated (SB-χ<sup>2</sup> = 13,59; df = 2; <italic toggle="yes">p</italic> &lt; .01), but this freely estimated model did not fit better than one in which only the first component was freely estimated (SB-χ<sup>2</sup> = 0.18; df = 1; <italic toggle="yes">p</italic> = .672).</p><p>In the resulting model d3, the estimated ADHD score at baseline was 0.151 (<italic toggle="yes">p</italic> &lt; .01) with significant between child variability (variance = 0.764; <italic toggle="yes">p</italic> &lt; .01). The constant change component was not significant (µ = 0.014; <italic toggle="yes">p</italic> = .067; residual variance = 0.057; <italic toggle="yes">p</italic> = .005). The effect of ADHD symptoms at T0 on the subsequent change in symptoms was estimated at −0.243 (<italic toggle="yes">p</italic> &lt; .01) and the subsequent two proportional change components at −0.284 (<italic toggle="yes">p</italic> &lt; .01). This resulted in an average trajectory of decreasing symptom levels over time. Higher ADHD scores at baseline were associated with greater increases over time (σ = .142, <italic toggle="yes">p</italic> &lt; .01). However, when considered together with the negative proportional change components, this effect suggests that children with initially high ADHD symptoms showed less escalation and tend toward stabilization, whereas increases are more pronounced among those starting with low symptom levels. With respect to gender, the results showed that females had clearly lower levels of ADHD at baseline (β = −0.320; <italic toggle="yes">p</italic> &lt; .01) compared to males and a smaller decrease between time points (β = −0.072; <italic toggle="yes">p</italic> &lt; .01).</p></sec></sec><sec id="sec024"><title>Relation between school records and anxiety/ depression symptoms</title><p><xref rid="pone.0347582.t004" ref-type="table">Table 4</xref> shows the model fit for the various bivariate (research question 2) and trivariate (research question 3) latent change score models evaluated.</p><table-wrap position="float" id="pone.0347582.t004" orientation="portrait"><object-id pub-id-type="doi">10.1371/journal.pone.0347582.t004</object-id><label>Table 4</label><caption><title>Fit Statistics for the Bivariate and Trivariate Latent Change Score Models.</title></caption><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" id="pone.0347582.t004g" position="float" orientation="portrait" xlink:href="pone.0347582.t004.jpg"><?image-name pone.0347582.t004.jpg?><?image-size 309980?><?image-md5 ffae01ab252f5c3124fba9c6d6a96235?><?image-image-server-status LOAD_COMPLETED?><?image-original-height 6632?><?image-original-width 4500?><?image-scaled-height 1105?><?image-scaled-width 750?><?image-cloudpmc-urn urn:cdn:blobs/37b7/13138621/ffae01ab252f/pone.0347582.t004.jpg?><?thumb-name pone.0347582.t004.gif?><?thumb-size 18352?><?thumb-md5 6f5f3371a4c6fb5fdba4026c8f8a916d?><?thumb-image-server-status NEVER_LOAD?><?thumb-scaled-height 147?><?thumb-scaled-width 100?><?thumb-cloudpmc-urn urn:cdn:blobs/37b7/13138621/6f5f3371a4c6/pone.0347582.t004.gif?></graphic><table frame="hsides" rules="groups"><colgroup span="1"><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/><col align="left" valign="middle" span="1"/></colgroup><thead><tr><th align="left" rowspan="1" colspan="1"/><th align="left" rowspan="1" colspan="1">Model</th><th align="left" rowspan="1" colspan="1">χ2 (df)</th><th align="left" rowspan="1" colspan="1">SCF</th><th align="left" rowspan="1" colspan="1">RMSEA<break/><break/>[90% CI]</th><th align="left" rowspan="1" colspan="1">CFI</th><th align="left" rowspan="1" colspan="1">TLI</th><th align="left" rowspan="1" colspan="1">SRMR</th><th align="left" rowspan="1" colspan="1">AIC</th><th align="left" rowspan="1" colspan="1">sa-BIC</th></tr></thead><tbody><tr><td align="left" rowspan="8" colspan="1">Anxiety &amp; SR<break/><break/>(<italic toggle="yes">N</italic> = 11,867)</td><td align="left" rowspan="1" colspan="1">a. no coupling</td><td align="left" rowspan="1" colspan="1">199.806 (30)</td><td align="left" rowspan="1" colspan="1">1.5057</td><td align="left" rowspan="1" colspan="1">.022<break/><break/>[.019,.025]</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.021</td><td align="left" rowspan="1" colspan="1">172,871.795</td><td align="left" rowspan="1" colspan="1">172,964.275</td></tr><tr><td align="left" rowspan="1" colspan="1">b. unidirectional<break/><break/>(school records → Δ anxiety)</td><td align="left" rowspan="1" colspan="1">197.891 (29)</td><td align="left" rowspan="1" colspan="1">1.5043</td><td align="left" rowspan="1" colspan="1">.022<break/><break/>[.019,.025]</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.991</td><td align="left" rowspan="1" colspan="1">.021</td><td align="left" rowspan="1" colspan="1">172,870.628</td><td align="left" rowspan="1" colspan="1">172,967.311</td></tr><tr><td align="left" rowspan="1" colspan="1">c. unidirectional<break/><break/>(anxiety → Δ school records)</td><td align="left" rowspan="1" colspan="1">198.536 (29)</td><td align="left" rowspan="1" colspan="1">1.5085</td><td align="left" rowspan="1" colspan="1">.022<break/><break/>[.019,.025]</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.991</td><td align="left" rowspan="1" colspan="1">.021</td><td align="left" rowspan="1" colspan="1">172,872.435</td><td align="left" rowspan="1" colspan="1">172,969.119</td></tr><tr><td align="left" rowspan="1" colspan="1">d. full coupling</td><td align="left" rowspan="1" colspan="1">196.518 (28)</td><td align="left" rowspan="1" colspan="1">1.5023</td><td align="left" rowspan="1" colspan="1">.023<break/><break/>[.020,.026]</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.991</td><td align="left" rowspan="1" colspan="1">.021</td><td align="left" rowspan="1" colspan="1">172,870.176</td><td align="left" rowspan="1" colspan="1">172,971.063</td></tr><tr><td align="left" rowspan="1" colspan="1">a1. = a. with slope covariance @0</td><td align="left" rowspan="1" colspan="1">205.947 (31)</td><td align="left" rowspan="1" colspan="1">1.4956</td><td align="left" rowspan="1" colspan="1">.022<break/><break/>[.019,.025]</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.021</td><td align="left" rowspan="1" colspan="1">172,876.950</td><td align="left" rowspan="1" colspan="1">172,965.226</td></tr><tr><td align="left" rowspan="1" colspan="1">a2. = a. with covariance anxiety intercept - SR slope @0</td><td align="left" rowspan="1" colspan="1">204.043 (31)</td><td align="left" rowspan="1" colspan="1">1.5120</td><td align="left" rowspan="1" colspan="1">.022<break/><break/>[.019,.025]</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.021</td><td align="left" rowspan="1" colspan="1">172,877.437</td><td align="left" rowspan="1" colspan="1">172,965.714</td></tr><tr><td align="left" rowspan="1" colspan="1">a3. = a. with covariance SR intercept – anxiety slope @0</td><td align="left" rowspan="1" colspan="1">221.085 (31)</td><td align="left" rowspan="1" colspan="1">1.4963</td><td align="left" rowspan="1" colspan="1">.023<break/><break/>[.020,.026]</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.991</td><td align="left" rowspan="1" colspan="1">.023</td><td align="left" rowspan="1" colspan="1">172,899.745</td><td align="left" rowspan="1" colspan="1">172,988.022</td></tr><tr><td align="left" rowspan="1" colspan="1">a4. = a. with all connections @0</td><td align="left" rowspan="1" colspan="1">227.973 (33)</td><td align="left" rowspan="1" colspan="1">1.4921</td><td align="left" rowspan="1" colspan="1">.022<break/><break/>[.020,.025]</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.991</td><td align="left" rowspan="1" colspan="1">.023</td><td align="left" rowspan="1" colspan="1">172,905.097</td><td align="left" rowspan="1" colspan="1">172,984.966</td></tr><tr><td align="left" rowspan="9" colspan="1">Depression &amp; SR<break/>(<italic toggle="yes">N</italic> = 11,867)</td><td align="left" rowspan="1" colspan="1">a. no coupling</td><td align="left" rowspan="1" colspan="1">143.967 (28)</td><td align="left" rowspan="1" colspan="1">1.6518</td><td align="left" rowspan="1" colspan="1">.019<break/><break/>[.016,.022]</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.018</td><td align="left" rowspan="1" colspan="1">182,571.309</td><td align="left" rowspan="1" colspan="1">182,672.197</td></tr><tr><td align="left" rowspan="1" colspan="1">b. unidirectional<break/><break/>(school records → Δ depression)</td><td align="left" rowspan="1" colspan="1">141.458 (27)</td><td align="left" rowspan="1" colspan="1">1.6565</td><td align="left" rowspan="1" colspan="1">.019<break/><break/>[.016,.022]</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.018</td><td align="left" rowspan="1" colspan="1">182,569.824</td><td align="left" rowspan="1" colspan="1">182,674.914</td></tr><tr><td align="left" rowspan="1" colspan="1">c. unidirectional<break/><break/>(depression → Δ school records)</td><td align="left" rowspan="1" colspan="1">140.480 (27)</td><td align="left" rowspan="1" colspan="1">1.6657</td><td align="left" rowspan="1" colspan="1">.019<break/><break/>[.016,.022]</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.018</td><td align="left" rowspan="1" colspan="1">182,569.491</td><td align="left" rowspan="1" colspan="1">182,674.582</td></tr><tr><td align="left" rowspan="1" colspan="1">d. full coupling</td><td align="left" rowspan="1" colspan="1">137.502 (26)</td><td align="left" rowspan="1" colspan="1">1.6693</td><td align="left" rowspan="1" colspan="1">.019<break/><break/>[.016,.022]</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.018</td><td align="left" rowspan="1" colspan="1">182,567.030</td><td align="left" rowspan="1" colspan="1">182,676.324</td></tr><tr><td align="left" rowspan="1" colspan="1">a1. = a. with slope covariance @0</td><td align="left" rowspan="1" colspan="1">146.381 (29)</td><td align="left" rowspan="1" colspan="1">1.6700</td><td align="left" rowspan="1" colspan="1">.018<break/>[.016,.021]</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.018</td><td align="left" rowspan="1" colspan="1">182,575.952</td><td align="left" rowspan="1" colspan="1">182,672.636</td></tr><tr><td align="left" rowspan="1" colspan="1">a2. = a. with covariance depression intercept – SR slope @0</td><td align="left" rowspan="1" colspan="1">145.356 (29)</td><td align="left" rowspan="1" colspan="1">1.6620</td><td align="left" rowspan="1" colspan="1">.018<break/>[.015,.021]</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.018</td><td align="left" rowspan="1" colspan="1">182,573.082</td><td align="left" rowspan="1" colspan="1">182,669.766</td></tr><tr><td align="left" rowspan="1" colspan="1">a3. = a. with covariance SR intercept – depression slope @0</td><td align="left" rowspan="1" colspan="1">283.123 (29)</td><td align="left" rowspan="1" colspan="1">1.5485</td><td align="left" rowspan="1" colspan="1">.027<break/>[.024,.030]</td><td align="left" rowspan="1" colspan="1">.987</td><td align="left" rowspan="1" colspan="1">.984</td><td align="left" rowspan="1" colspan="1">.025</td><td align="left" rowspan="1" colspan="1">182,769.901</td><td align="left" rowspan="1" colspan="1">182,866.584</td></tr><tr><td align="left" rowspan="1" colspan="1">a4. = a. with all connections @0</td><td align="left" rowspan="1" colspan="1">263.706 (31)</td><td align="left" rowspan="1" colspan="1">1.6633</td><td align="left" rowspan="1" colspan="1">.025<break/>[.022,.028]</td><td align="left" rowspan="1" colspan="1">.988</td><td align="left" rowspan="1" colspan="1">.986</td><td align="left" rowspan="1" colspan="1">.025</td><td align="left" rowspan="1" colspan="1">182,766.110</td><td align="left" rowspan="1" colspan="1">182,854.386</td></tr><tr><td align="left" rowspan="1" colspan="1">a12. = combination of models a1. and a2.</td><td align="left" rowspan="1" colspan="1">169.082 (30)</td><td align="left" rowspan="1" colspan="1">1.6422</td><td align="left" rowspan="1" colspan="1">.020<break/>[.017,.023]</td><td align="left" rowspan="1" colspan="1">.993</td><td align="left" rowspan="1" colspan="1">.992</td><td align="left" rowspan="1" colspan="1">.019</td><td align="left" rowspan="1" colspan="1">182,607.161</td><td align="left" rowspan="1" colspan="1">182,699.641</td></tr><tr><td align="left" rowspan="7" colspan="1">Anxiety, SR &amp; ADHD<break/><break/>(<italic toggle="yes">N</italic> = 11,867)</td><td align="left" rowspan="1" colspan="1">a. no coupling</td><td align="left" rowspan="1" colspan="1">272.523 (60)</td><td align="left" rowspan="1" colspan="1">1.4526</td><td align="left" rowspan="1" colspan="1">.017<break/><break/>[.015,.019]</td><td align="left" rowspan="1" colspan="1">.996</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.016</td><td align="left" rowspan="1" colspan="1">245,720.890</td><td align="left" rowspan="1" colspan="1">245,897.442</td></tr><tr><td align="left" rowspan="1" colspan="1">b1. unidirectional<break/><break/>(ADHD → Δ anxiety)</td><td align="left" rowspan="1" colspan="1">273.382 (59)</td><td align="left" rowspan="1" colspan="1">1.4445</td><td align="left" rowspan="1" colspan="1">.017<break/><break/>[.015,.019]</td><td align="left" rowspan="1" colspan="1">.996</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.016</td><td align="left" rowspan="1" colspan="1">245,721.915</td><td align="left" rowspan="1" colspan="1">245,902.671</td></tr><tr><td align="left" rowspan="1" colspan="1">b2. unidirectional<break/><break/>(anxiety → Δ ADHD)</td><td align="left" rowspan="1" colspan="1">271.451 (59)</td><td align="left" rowspan="1" colspan="1">1.4463</td><td align="left" rowspan="1" colspan="1">.017<break/><break/>[.015,.020]</td><td align="left" rowspan="1" colspan="1">.996</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.015</td><td align="left" rowspan="1" colspan="1">245,719.609</td><td align="left" rowspan="1" colspan="1">245,900.365</td></tr><tr><td align="left" rowspan="1" colspan="1">b3. full coupling anxiety – ADHD</td><td align="left" rowspan="1" colspan="1">272.651 (58)</td><td align="left" rowspan="1" colspan="1">1.4376</td><td align="left" rowspan="1" colspan="1">.018<break/><break/>[.016,.020]</td><td align="left" rowspan="1" colspan="1">.996</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.015</td><td align="left" rowspan="1" colspan="1">245,720.985</td><td align="left" rowspan="1" colspan="1">245,905.945</td></tr><tr><td align="left" rowspan="1" colspan="1">c1. unidirectional<break/><break/>(ADHD → Δ school records)</td><td align="left" rowspan="1" colspan="1">272.564 (59)</td><td align="left" rowspan="1" colspan="1">1.4490</td><td align="left" rowspan="1" colspan="1">.017<break/><break/>[.015,.020]</td><td align="left" rowspan="1" colspan="1">.996</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.015</td><td align="left" rowspan="1" colspan="1">245,721.968</td><td align="left" rowspan="1" colspan="1">245,902.724</td></tr><tr><td align="left" rowspan="1" colspan="1">c2. unidirectional<break/><break/>(school records → Δ ADHD)</td><td align="left" rowspan="1" colspan="1">269.105 (59)</td><td align="left" rowspan="1" colspan="1">1.4465</td><td align="left" rowspan="1" colspan="1">.017<break/><break/>[.015,.019]</td><td align="left" rowspan="1" colspan="1">.996</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.016</td><td align="left" rowspan="1" colspan="1">245,716.266</td><td align="left" rowspan="1" colspan="1">245,897.022</td></tr><tr><td align="left" rowspan="1" colspan="1">c3. full coupling SR – ADHD</td><td align="left" rowspan="1" colspan="1">270.002 (58)</td><td align="left" rowspan="1" colspan="1">1.4410</td><td align="left" rowspan="1" colspan="1">.018<break/><break/>[.015,.020]</td><td align="left" rowspan="1" colspan="1">.996</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.016</td><td align="left" rowspan="1" colspan="1">245,718.092</td><td align="left" rowspan="1" colspan="1">245,903.052</td></tr><tr><td align="left" rowspan="8" colspan="1">Depression, SR &amp; ADHD<break/><break/>(<italic toggle="yes">N</italic> = 11,867)</td><td align="left" rowspan="1" colspan="1">a. no coupling</td><td align="left" rowspan="1" colspan="1">258.835 (59)</td><td align="left" rowspan="1" colspan="1">1.5508</td><td align="left" rowspan="1" colspan="1">.017<break/><break/>[.015,.019]</td><td align="left" rowspan="1" colspan="1">.995</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.015</td><td align="left" rowspan="1" colspan="1">254,624.065</td><td align="left" rowspan="1" colspan="1">254,804.821</td></tr><tr><td align="left" rowspan="1" colspan="1">b1. unidirectional<break/><break/>(ADHD → Δ depression)</td><td align="left" rowspan="1" colspan="1">257.120 (58)</td><td align="left" rowspan="1" colspan="1">1.5497</td><td align="left" rowspan="1" colspan="1">.017<break/><break/>[.015,.019]</td><td align="left" rowspan="1" colspan="1">.995</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.015</td><td align="left" rowspan="1" colspan="1">254,623.125</td><td align="left" rowspan="1" colspan="1">254,808.084</td></tr><tr><td align="left" rowspan="1" colspan="1">b2. unidirectional<break/><break/>(depression → Δ ADHD)</td><td align="left" rowspan="1" colspan="1">242. 370 (58)</td><td align="left" rowspan="1" colspan="1">1.5502</td><td align="left" rowspan="1" colspan="1">.016<break/><break/>[.014,.019]</td><td align="left" rowspan="1" colspan="1">.996</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.014</td><td align="left" rowspan="1" colspan="1">254,600.390</td><td align="left" rowspan="1" colspan="1">254,785.349</td></tr><tr><td align="left" rowspan="1" colspan="1">b3. full coupling depression – ADHD</td><td align="left" rowspan="1" colspan="1">239.264 (57)</td><td align="left" rowspan="1" colspan="1">1.5493</td><td align="left" rowspan="1" colspan="1">.016<break/><break/>[.014,.019]</td><td align="left" rowspan="1" colspan="1">.996</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.014</td><td align="left" rowspan="1" colspan="1">254,597.358</td><td align="left" rowspan="1" colspan="1">254,786.521</td></tr><tr><td align="left" rowspan="1" colspan="1">c1. unidirectional<break/><break/>(ADHD → Δ school records)</td><td align="left" rowspan="1" colspan="1">258.594 (58)</td><td align="left" rowspan="1" colspan="1">1.5443</td><td align="left" rowspan="1" colspan="1">.017<break/><break/>[.015,.019]</td><td align="left" rowspan="1" colspan="1">.995</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.015</td><td align="left" rowspan="1" colspan="1">254,624.016</td><td align="left" rowspan="1" colspan="1">254,808.976</td></tr><tr><td align="left" rowspan="1" colspan="1">c2. unidirectional<break/><break/>(school records → Δ ADHD)</td><td align="left" rowspan="1" colspan="1">254.285 (58)</td><td align="left" rowspan="1" colspan="1">1.5468</td><td align="left" rowspan="1" colspan="1">.017<break/><break/>[.015,.019]</td><td align="left" rowspan="1" colspan="1">.995</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.015</td><td align="left" rowspan="1" colspan="1">254,617.984</td><td align="left" rowspan="1" colspan="1">254,802.943</td></tr><tr><td align="left" rowspan="1" colspan="1">c3. full coupling SR – ADHD</td><td align="left" rowspan="1" colspan="1">253.032 (57)</td><td align="left" rowspan="1" colspan="1">1.5396</td><td align="left" rowspan="1" colspan="1">.017<break/><break/>[.015,.019]</td><td align="left" rowspan="1" colspan="1">.995</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.015</td><td align="left" rowspan="1" colspan="1">254,616.221</td><td align="left" rowspan="1" colspan="1">254,805.384</td></tr><tr><td align="left" rowspan="1" colspan="1">d. = combination of models b2. and c2.</td><td align="left" rowspan="1" colspan="1">241.100 (57)</td><td align="left" rowspan="1" colspan="1">1.5466</td><td align="left" rowspan="1" colspan="1">.016<break/><break/>[.014,.019]</td><td align="left" rowspan="1" colspan="1">.996</td><td align="left" rowspan="1" colspan="1">.994</td><td align="left" rowspan="1" colspan="1">.015</td><td align="left" rowspan="1" colspan="1">254,599.554</td><td align="left" rowspan="1" colspan="1">254,788.718</td></tr></tbody></table></alternatives><table-wrap-foot><fn id="t004fn001"><p><italic toggle="yes">Note</italic>. SR = School Records; SCF = Scaling Factor; RMSEA = Root Mean Square Error of Approximation; CFI = Comparative Fit index; TLI = Tucker-Lewis Index; SRMR = Root Mean Square Residual; AIC = Akaike Information Criterion; sa-BIC = sample size-adjusted Bayesian Information Criterion.</p></fn></table-wrap-foot></table-wrap><sec id="sec025"><title>School records and anxiety symptoms.</title><p>The fit criteria of the no coupling, unidirectional coupling, and full coupling models were not far apart (see <xref rid="pone.0347582.t004" ref-type="table">Table 4</xref>), but the results of the SB-χ<sup>2</sup> tests showed that the no coupling model fitted the data best. More specifically, both unidirectional models (SB-χ<sup>2</sup> = 2.04; df = 1; <italic toggle="yes">p</italic> = .153; SB-χ<sup>2</sup> = 0.95; df = 1; <italic toggle="yes">p</italic> = .329) as well as the full coupling model (SB-χ<sup>2</sup> = 3.62; df = 2; <italic toggle="yes">p</italic> = .164) did not fit better than the no coupling model. The no coupling model appeared to fit best without any alternative model restrictions (setting the slope covariances at zero: SB-χ<sup>2</sup> = 6.01; df = 1; <italic toggle="yes">p</italic> = .014; slope intercept and covariances across constructs at zero: SB-χ<sup>2</sup> = 4.50; df = 1; <italic toggle="yes">p</italic> = .034 and SB-χ<sup>2</sup> = 24.67; df = 1; <italic toggle="yes">p</italic> &lt; .01; all connections over time at zero: SB-χ<sup>2</sup> = 28.99; df = 3; <italic toggle="yes">p</italic> &lt; .01).</p><p>In the no coupling model, the baseline scores for school records and anxiety were strongly related (σ = 0.095; <italic toggle="yes">p</italic> &lt; .01). Both constant change components were related to each other (σ = 0.003; <italic toggle="yes">p</italic> = .035), showing that more decrease in anxiety was related to a slightly stronger improvement in grades over the years.</p><p>The baseline anxiety score was not significantly associated to the constant change component for school records (σ = − 0.015; <italic toggle="yes">p</italic> = .051). However, children with higher (poorer) grades at baseline showed stronger decrease in anxiety over the years (σ = −0.014; <italic toggle="yes">p</italic> &lt; .01).</p></sec><sec id="sec026"><title>School records and depression symptoms.</title><p>Again, the fit criteria were not far apart (see <xref rid="pone.0347582.t004" ref-type="table">Table 4</xref>), but the results of the SB-χ<sup>2</sup> tests showed that both unidirectional models (SB-χ<sup>2</sup> = 2.28; df = 1; <italic toggle="yes">p</italic> = .131 and SB-χ<sup>2</sup> = 2.98; df = 1; <italic toggle="yes">p</italic> = .084) as well as the full coupling model (SB-χ<sup>2</sup> = 5.81; df = 2; <italic toggle="yes">p</italic> = .055) did not fit better than the no coupling model. Setting the covariance between the intercept of depression and slope for school records at zero improved the model fit (SB-χ<sup>2</sup> = 1.94; df = 1; <italic toggle="yes">p</italic> = .164). Additionally setting the covariance between both slopes at zero did not improve the model fit (SB-χ<sup>2</sup> = 33.79; df = 1; p &lt; .01), so that model a2 (see <xref rid="pone.0347582.t004" ref-type="table">Table 4</xref>) was chosen as the optimal model.</p><p>In model a2, higher depression scores were related to lower achievement at baseline (σ = 0.102; <italic toggle="yes">p</italic> &lt; .01). The constant change components for depression and grade were positively related (σ = 0.004; <italic toggle="yes">p</italic> &lt; .01), indicating that children who showed a stronger decrease in depressive symptoms also demonstrated a stronger improvement in grades over time. Children with lower academic performance at baseline showed a stronger decrease in depression over time (σ = −0.105; <italic toggle="yes">p</italic> &lt; .01).</p></sec></sec><sec id="sec027"><title>The influence of ADHD symptoms</title><sec id="sec028"><title>School records and anxiety symptoms.</title><p>Among the trivariate latent change score models for anxiety, school records, and ADHD, the no coupling model showed the best fit. Each of the models for unidirectional or full coupling between anxiety and ADHD (SB-χ<sup>2</sup> = 0.50; df = 1; <italic toggle="yes">p</italic> = .479; SB-χ<sup>2</sup> = 1.79; df = 1; <italic toggle="yes">p</italic> = .181; SB-χ<italic toggle="yes">2</italic> = 2.07; df = 2; <italic toggle="yes">p</italic> = .356 for models b1 to b3 [see <xref rid="pone.0347582.t004" ref-type="table">Table 4</xref>], respectively) or between school records and ADHD (SB-χ<sup>2</sup> = 0.55; df = 1; <sup>p</sup> = .457; SB-χ<sup>2</sup> = 3.64; df = 1; <italic toggle="yes">p</italic> = .056; SB-χ<sup>2</sup> = 3.80; df = 2; <italic toggle="yes">p</italic> = .150 for models c1 to c3 [see <xref rid="pone.0347582.t004" ref-type="table">Table 4</xref>], respectively) did not fit better. This means that ADHD symptoms did not influence subsequent changes in school records or anxiety, or vice versa.</p><p>In the resulting trivariate model with no coupling, higher initial ADHD scores as well as more increase in ADHD over time were related to lower grades at baseline (σ = 0.236; <italic toggle="yes">p</italic> &lt; .01 and σ = 0.033; <italic toggle="yes">p</italic> = .019, respectively). More anxiety was related to more ADHD symptoms at baseline (σ = 0.393; <italic toggle="yes">p</italic> &lt; .01). Higher initial ADHD scores appeared related to less decrease in anxiety over time (σ = −0.032; <italic toggle="yes">p</italic> &lt; .01) and increases in ADHD scores over time were related to increases in anxiety symptoms over time (σ = 0.007; <italic toggle="yes">p</italic> &lt; .01). There were no major changes in the model results for the relation between anxiety and school records compared to the model without ADHD.</p></sec><sec id="sec029"><title>School records and depression symptoms.</title><p>When focusing on depression symptoms, the trivariate model with school records and ADHD fitted better when including a unidirectional coupling with depression symptoms influencing subsequent changes in ADHD (model b2, see <xref rid="pone.0347582.t004" ref-type="table">Table 4</xref>), compared to the no coupling model (SB-χ<sup>2</sup> = 16.20; df = 1; <italic toggle="yes">p</italic> &lt; .01). Additional coupling between ADHD and subsequent changes in depression (SB-χ<sup>2</sup> = 3.14; df = 1; <italic toggle="yes">p</italic> = .076) or between school records and ADHD (SB-χ<sup>2</sup> = 1.62; df = 1; <italic toggle="yes">p</italic> = .204) did not result in a better fit compared to model b2.</p><p>With respect to the relation between ADHD and the depression score at baseline, higher depression scores were related to higher ADHD scores at baseline (σ = 0.339; <italic toggle="yes">p</italic> &lt; .01), but not to changes in ADHD over time (σ = −0.018; <italic toggle="yes">p</italic> = .649). Depression symptoms predicted subsequent changes in ADHD (γ = 0.171; <italic toggle="yes">p</italic> &lt; .01). As mentioned above, an effect from ADHD to school records or depression at the next time point was not found (e.g., model b2 was chosen). There were no major changes in the model results for the relation between depression and school records compared to the model without ADHD.</p></sec></sec></sec><sec sec-type="conclusions" id="sec030"><title>Discussion</title><p>The aim of the current study was to evaluate the trivariate longitudinal relation between school records, symptoms of anxiety/ depression and of ADHD in children between about 9 and 12 years old. Briefly summarized, the results showed that school records and symptoms of anxiety or depression were related, but school records did not predict these symptoms at the next timepoint, nor the other way around. ADHD was associated with both school records and symptoms of anxiety/ depression. Depression symptoms were a negative leading indicator of the subsequent changes in ADHD.</p><p>Research question 1 focused on the longitudinal development of each of the constructs. School records showed a positive linear trend over the four years, alongside negative autoregressive effects of equal magnitude between consecutive time points. In combination, this resulted in a relatively stable, slightly deteriorating trajectory. The hypothesized decline was thus found back, but, contrary to earlier findings [<xref rid="pone.0347582.ref014" ref-type="bibr">14</xref>,<xref rid="pone.0347582.ref015" ref-type="bibr">15</xref>], not only from grade 6 onwards. Anxiety symptoms showed a decrease with age and greater declines in children with higher baseline levels, confirming our hypothesis. For depression symptoms, we found an overall progressive increase in symptoms over time. This increase over time was smaller in children with higher baseline depression levels, hinting at a convergence of trajectories over time. These results confirm our hypothesis only partly. The increase in symptoms over time is as expected, but our results contradict those of earlier research, which found an increase in depression symptoms only starting at age 12, not depending on symptom levels at the previous time point [<xref rid="pone.0347582.ref017" ref-type="bibr">17</xref>] or at baseline [<xref rid="pone.0347582.ref016" ref-type="bibr">16</xref>]. Possibly, this shows that children have started to be vulnerable for depression already in elementary school. However, as the cohorts in the current study were not specifically grade-related, we could not evaluate the effects of school transition. The increase in depression already before the age of 12 could also reflect the effects of the COVID-19 pandemic, which started during the data collection.</p><p>Although not the focus of our hypotheses, the current study’s results do show gender differences. More specifically, as would be expected, females had lower baseline levels of ADHD. The decrease in symptoms over time was slightly smaller than for males. For depression, females had lower baseline levels, which does not correspond to the frequent finding that females, on average, exhibit more internalizing problems than males [<xref rid="pone.0347582.ref016" ref-type="bibr">16</xref>,<xref rid="pone.0347582.ref056" ref-type="bibr">56</xref>]. However, females showed a stronger increase in symptoms over time than males, resulting in higher symptom levels at the last time point. Anxiety symptoms showed a linear decline over time, which was stronger for males than for females, with no differences in baseline levels. The results of previous longitudinal studies are mixed. For example, McLaughlin and King [<xref rid="pone.0347582.ref016" ref-type="bibr">16</xref>] did not find gender differences in internalizing symptom trajectories. Ohannessian and colleagues [<xref rid="pone.0347582.ref057" ref-type="bibr">57</xref>], however, found a decrease in anxiety disorders in females but not males in middle to late adolescence, which is somewhat comparable to our results. Maybe the relatively young age of the children in our sample (9–12 years) can explain why we did not find higher initial rates for females, as the gender difference emerges only around age 12, at least for depression [<xref rid="pone.0347582.ref058" ref-type="bibr">58</xref>,<xref rid="pone.0347582.ref059" ref-type="bibr">59</xref>], and depression symptoms appear to accelerate earlier in adolescence for females compared to males [<xref rid="pone.0347582.ref060" ref-type="bibr">60</xref>]. However, this does not explain the lower baseline depression levels for females. Clearly, more research into gender differences in internalizing symptom trajectories is needed.</p><p>For both anxiety and depression symptoms, the results for research question 2 showed no coupling with school records. In other words, symptoms did not predict school records at the next time point, nor the other way around. This goes against our hypotheses as well as earlier research that showed low achievement to predict higher anxiety levels in the next school year [<xref rid="pone.0347582.ref029" ref-type="bibr">29</xref>,<xref rid="pone.0347582.ref061" ref-type="bibr">61</xref>]. As expected, we did find a negative correlation between symptoms and school records at baseline. Also, the results showed that poorer grades at baseline were related to a stronger decline in anxiety and depression symptoms over the years. Altogether, this means that the level of school records on itself, not its development, is related to anxiety and depression symptoms. This could partly be explained by the way school records develop over time, with improvements overall, but negative effects of one time point to the next. These effects could cancel each other out, resulting in relatively stable school records. Also, although some studies do find a negative relation between anxiety and achievement, some studies actually find a positive relation [e.g., <xref rid="pone.0347582.ref040" ref-type="bibr">40</xref>], which means that it is likely that other variables play an important role.</p><p>Research question 3 focused on the role of ADHD symptoms. For the relation with school records, the results supported our hypotheses in that more ADHD symptoms at baseline were related to poorer grades at baseline. However, we did not find the expected increasing disadvantage caused by ADHD symptoms influencing changes in school records at the next time point. Also as expected, more ADHD symptoms at baseline were related to more internalizing symptoms at baseline as well as a smaller decrease in internalizing symptoms over time. Depression symptoms appeared to predict subsequent ADHD levels, but not the other way around. Contrary to the results of Murray et al. [<xref rid="pone.0347582.ref037" ref-type="bibr">37</xref>], ADHD symptoms did not influence anxiety levels at the next time point, nor the other way around. The study by Murray and colleagues contained a sample of children between 13 and 17 years of age. Possibly, symptoms of both ADHD and anxiety are more stable among younger children and start influencing each other more during adolescence. Another possible explanation is that influences from one time point to the next are dependent on specific ages, as the samples per time point in our study were not as homogeneous in terms of age as those in the study of Murray and colleagues due to the cross-sequential design.</p><p>Our hypotheses stated that ADHD symptoms would explain the relation between school records and subsequent anxiety or depression, as well as (for depression) the other way around. This hypothesis could not be evaluated, because these relations were not found in the first place. More in general, there were no clear differences between the models with and without ADHD symptoms in the relations found between school records and anxiety/ depression symptoms. This is not in line with the results of earlier research, which found that depression was more strongly (negatively) related to school records in students with ADHD, compared to those without [<xref rid="pone.0347582.ref006" ref-type="bibr">6</xref>,<xref rid="pone.0347582.ref040" ref-type="bibr">40</xref>]. Also, ADHD symptoms completely accounted for the relation found between reading/ spelling achievement and anxiety symptoms [<xref rid="pone.0347582.ref006" ref-type="bibr">6</xref>].</p><p>These contradictory results show the complexity of the underlying phenomena and relations. ADHD symptoms could actually play a role, but it is likely just one of the variables in play. For example, although ADHD symptoms and internalizing problems are clearly related, symptoms of anxiety and/or depression can also arise in the absence of ADHD symptoms and can in that case still be associated with school records. The extent to which school records are affected could depend, for example, on the extent to which the environment of students (teachers, parents) recognizes their symptoms and offer support.</p><p>The current study has a number of limitations. First, as mentioned, the ABCD study has a cross-sequential design, as opposed to a cohort-sequential design. The children were 9 years old at the start of the study on average, but the range in both age (8;11–11;1 years) and grade (3–5 for 96% of the sample) was relatively broad. We did not take into account these age and grade differences within cohorts, which means that we could have missed certain age- or grade-specific effects. A cross-sequential design does allow for the evaluation of cohort effects, but because the time range of the baseline measure was broad as well (2016–2018), it was also difficult to take into account the effects of certain events.</p><p>This brings us to the second limitation: The influence of the COVID-19 pandemic, at least for part of the sample. The COVID-19 pandemic led to an increase in mental health problems in children and adolescents, especially internalizing symptoms [e.g., <xref rid="pone.0347582.ref062" ref-type="bibr">62</xref>]. This was also reflected in the sample of the ABCD study, although the increased depression scores were still within the normal range [<xref rid="pone.0347582.ref063" ref-type="bibr">63</xref>]. This will likely have had an influence, especially on the results for research question 1. Due to the complexity of the analyses in terms of the number of variables included, we chose not to take into account the start of the pandemic in our analyses. If it was indeed a confounding variable, this could form part of the explanation why we found earlier increases in depression than expected. It could also explain the different proportional change component for depression from the first to the second time point, as COVID-19 took place at the start of the study. In addition, it might have led to an underestimation of the coupling between depression and school records and/ or ADHD.</p><p>Third, we operationalized learning outcomes as the child’s school grade in the past year as reported by the parents. Although these parent-reports have been shown to be less valid for children with non-average learning performance, research has supported their use [<xref rid="pone.0347582.ref064" ref-type="bibr">64</xref>]. However, they are not as valid as objective measures of school grades had been. In addition, we used this ordinal variable as a continuous variable in the analyses. This could have resulted in bias in the form of underestimation of factor loadings, but less so in the estimation of structural relationships between the variables [<xref rid="pone.0347582.ref065" ref-type="bibr">65</xref>]. Also, the use of parent-reported ADHD- and internalizing symptoms is a limitation, because these do not always correspond to self-reported symptoms [<xref rid="pone.0347582.ref066" ref-type="bibr">66</xref>,<xref rid="pone.0347582.ref067" ref-type="bibr">67</xref>] and might underestimate especially internalizing symptoms [<xref rid="pone.0347582.ref068" ref-type="bibr">68</xref>]. The at times non-optimal operationalization of variables is inherent to the use of an existing data set.</p><p>Fourth and finally, we used the data from a large study in the USA, where we as researchers do not live ourselves and we were not involved in the data collection. We are thus far removed from the actual object of study and can assess the context factors that might have played a role not as well as a USA resident. However, the study has been logged in a detailed way, so that we were well able to use the data and properly describe the method of study. More in general, the use of the data from the ABCD study has enabled us to evaluate developmental trajectories in a large representative sample, resulting in a high degree of generalizability of the results. The availability of four time points and use of LCSM formed a methodological strength as within person changes are decomposed into different growth components.</p><p>Even though we did not find ADHD to explain the relation between school records and internalizing problems, we did find clear associations between school records, internalizing problems, and ADHD symptoms. This is in line with the notion that comorbidity between neurodevelopmental disorders is the rule rather than the exception [<xref rid="pone.0347582.ref069" ref-type="bibr">69</xref>] and with earlier findings on the comorbidity between SLDs and internalizing problems [e.g., <xref rid="pone.0347582.ref004" ref-type="bibr">4</xref>,<xref rid="pone.0347582.ref005" ref-type="bibr">5</xref>]. More longitudinal studies like the current one are needed to unravel how mental health symptoms and school results develop in relation to each other.</p><p>The results of the current study help putting the puzzle together of how neurodevelopmental disorders and their comorbidities can be explained based on the multiple deficit model. This, in turn, can help identifying children with increased risk at an early stage. The fact that we did not find symptoms of depression or anxiety to predict school results at a later time point or vice versa might indicate that they do not influence each other directly. Apart from the finding that depression symptoms predicted subsequent changes in ADHD symptoms, a confounding role of ADHD symptoms in the relation with school records was not found. Therefore, other risk factors, not taken into account in the current study, might be responsible for difficulties in each of the domains. Future research is needed to identify these risk factors. For example, executive function deficits do not only play a role in both SLD and ADHD [<xref rid="pone.0347582.ref070" ref-type="bibr">70</xref>], but are also related to symptoms of depression and anxiety [<xref rid="pone.0347582.ref071" ref-type="bibr">71</xref>]. Although the current study focuses solely on child-related factors, based on the transactional model, child development is the result from a continuous bidirectional effect between the child and its environment [<xref rid="pone.0347582.ref072" ref-type="bibr">72</xref>]. Therefore, risk factors in the environment of the child are essential to take into account as well. For example, parenting characteristics appear to play a role in explaining internalizing problems [<xref rid="pone.0347582.ref073" ref-type="bibr">73</xref>], ADHD symptoms [<xref rid="pone.0347582.ref073" ref-type="bibr">73</xref>] as well as the coping strategies in children with SLD [<xref rid="pone.0347582.ref074" ref-type="bibr">74</xref>].</p><p>Altogether, our results showed that school records, internalizing symptoms (anxiety, depression), and ADHD symptoms were all related. However, we did not find direct influences on each other from time point to time point in our longitudinal models, with one exception: Depression symptoms can lead to subsequent increases in ADHD symptoms. These results yield practical recommendations for both clinical and educational practice. In clinical practice, it is essential to be aware of increased risks for ADHD symptoms when a child has depression symptoms. Also, if a child shows increases in ADHD symptoms, this can be a sign of prior depressive symptoms. An advice for teachers is to be aware of an increased risk for internalizing symptoms especially in the case of low grades overall, as opposed to decreasing school results. Also, it is important to recognize signs of depression at an early stage, so that such secondary problems (i.e., ADHD symptoms) can be prevented. Knowledge on such indicators of internalizing problems can be very helpful for increasing the early identification rate. As the name implies, internalizing symptoms are directed inward and therefore relatively hard to recognize for important others, such as parents and teachers. Early identification is, however, essential because internalizing symptoms are related to increased risk for other mental health problems [e.g., <xref rid="pone.0347582.ref075" ref-type="bibr">75</xref>] and costs for the society [<xref rid="pone.0347582.ref076" ref-type="bibr">76</xref>].</p></sec><sec id="sec031" sec-type="supplementary-material"><title>Supporting information</title><supplementary-material id="pone.0347582.s001" position="float" content-type="local-data" orientation="portrait"><label>S1 Table</label><caption><title>Sample Sizes Separately per Time Point, Variable, and by Gender.</title><p>(DOCX)</p></caption><media xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="pone.0347582.s001.docx" position="float" orientation="portrait"><?suppdata-name pone.0347582.s001.docx?><?suppdata-size 16480?><?suppdata-md5 75f8048aef39d49ea47b8878a96eda4e?><?suppdata-image-server-status NEVER_LOAD?><?suppdata-mime-type application?><?suppdata-mime-sub-type vnd.openxmlformats-officedocument.wordprocessingml.document?><?suppdata-cloudpmc-urn urn:app:37b7/13138621/75f8048aef39/pone.0347582.s001.docx?></media></supplementary-material></sec></body><back><ack><p>We would like to thank Prof. Florian Schmiedek from the DIPF for his repeated methodological support, which has been essential for this paper. 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</p><p>1. Is the manuscript technically sound, and do the data support the conclusions?</p><p>Reviewer #1: Partly</p><p>Reviewer #2: Yes</p><p>**********</p><p>2. Has the statistical analysis been performed appropriately and rigorously? --&gt;?&gt;</p><p>Reviewer #1: Yes</p><p>Reviewer #2: Yes</p><p>**********</p><p>3. Have the authors made all data underlying the findings in their manuscript fully available??&gt;</p><p>The <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://www.plosone.org/static/policies.action#sharing" ext-link-type="uri">PLOS Data policy</ext-link> requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.--&gt;</p><p>Reviewer #1: Yes</p><p>Reviewer #2: Yes</p><p>**********</p><p>4. Is the manuscript presented in an intelligible fashion and written in standard English??&gt;</p><p>Reviewer #1: Yes</p><p>Reviewer #2: Yes</p><p>**********</p><p>Reviewer #1: To the Authors,</p><p>Thank you for the opportunity to review your interesting and methodologically robust study. This note is to explain the reasoning behind my answers to the review questions.</p><p>While the manuscript is clearly written and the statistical analyses are appropriate and rigorous (addressing questions 2 &amp; 4), I have indicated that the data only partly support the conclusions at this stage (addressing question 1). This is due to three main reasons:</p><p>Measurement Limitations: The use of a single, parent-reported item to measure "learning outcomes" is a significant limitation that impacts the strength of the conclusions drawn about this core construct.</p><p>Interpretation of Key Findings: The manuscript presents several significant and compelling gender differences in the results, but these are not interpreted or contextualized in the discussion. This omission leaves a major part of the findings unexplored.</p><p>Contextual Factors: The potential confounding impact of the COVID-19 pandemic on the developmental trajectories, particularly for depression, is noted as a limitation but is not sufficiently integrated into the main interpretation of the results.</p><p>Addressing these points by expanding the discussion around the limitations of the measurement, interpreting the gender differences, and more deeply considering the pandemic's role will substantially strengthen the manuscript and ensure the conclusions are more firmly supported by the data.</p><p>My full, detailed review with specific recommendations for revision is provided in the accompanying attachment. I believe that by addressing these comments, the manuscript will be an excellent contribution to the journal</p><p>Reviewer #2: This longitudinal study examined the relationships among adolescents’ learning outcomes, internalizing symptoms (anxiety and depression), and ADHD symptoms using four waves of data from the Adolescent Brain Cognitive Development (ABCD) Study involving 11,867 U.S. children aged 9–12 years. Latent change score modeling showed that academic performance correlated with anxiety and depression but did not predict changes in these symptoms over time. ADHD symptoms were associated with both poorer school records and higher internalizing symptoms; however, they did not explain their interrelation. Depression predicted subsequent increases in ADHD symptoms. The findings highlight the importance of early detection of depressive symptoms. This study was well-conducted and the manuscript is well-written. Some minor comments are listed as below.</p><p>1. The study uses four timepoints from the ABCD dataset and latent change score modeling (LCSM), which allows a nuanced examination of within-person changes. This is a methodological strength, particularly for studying developmental trajectories in a large, representative sample.</p><p>2. The hypotheses could be better grounded in specific theoretical frameworks (e.g., multiple deficit model or transactional models). The discussion might better integrate these theories to interpret the null findings, particularly why ADHD did not mediate the link between learning outcomes and internalizing symptoms.</p><p>3. The exclusive use of parent reports for ADHD, anxiety, and depression may limit validity. Adolescents’ self-reports or teacher evaluations could have provided complementary perspectives, especially for internalizing symptoms, which parents may underreport. This limitation deserves more emphasis in the discussion.</p><p>4. While the manuscript concludes with practical recommendations for teachers, these implications are only loosely connected to the actual analytic results. The paper could benefit from a clearer discussion on how observed statistical patterns translate into real-world educational or clinical practice.</p><p>**********</p><p><ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://journals.plos.org/plosone/s/editorial-and-peer-review-process#loc-peer-review-history" ext-link-type="uri">what does this mean?</ext-link>). If published, this will include your full peer review and any attached files.). If published, this will include your full peer review and any attached files.). If published, this will include your full peer review and any attached files.). If published, this will include your full peer review and any attached files.</p><p>If you choose “no”, your identity will remain anonymous but your review may still be made public.</p><p><bold>Do you want your identity to be public for this peer review?</bold> For information about this choice, including consent withdrawal, please see our For information about this choice, including consent withdrawal, please see our For information about this choice, including consent withdrawal, please see our For information about this choice, including consent withdrawal, please see our <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://www.plos.org/privacy-policy" ext-link-type="uri">Privacy Policy</ext-link>..--&gt;</p><p>Reviewer #1: <bold>Yes:</bold> Dr. Chen Hanna RyderDr. Chen Hanna RyderDr. Chen Hanna RyderDr. Chen Hanna Ryder</p><p>Reviewer #2: No</p><p>**********</p><p>[NOTE: If reviewer comments were submitted as an attachment file, they will be attached to this email and accessible via the submission site. Please log into your account, locate the manuscript record, and check for the action link "View Attachments". If this link does not appear, there are no attachment files.]</p><p>While revising your submission, please upload your figure files to the Preflight Analysis and Conversion Engine (PACE) digital diagnostic tool, <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://pacev2.apexcovantage.com/" ext-link-type="uri">https://pacev2.apexcovantage.com/</ext-link>. PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at . PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at . PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at . PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at <email>figures@plos.org</email>. Please note that Supporting Information files do not need this step.. Please note that Supporting Information files do not need this step.. Please note that Supporting Information files do not need this step.. Please note that Supporting Information files do not need this step.</p><supplementary-material id="pone.0347582.s002" position="float" content-type="local-data" orientation="portrait"><label>Attachment</label><caption><p>Submitted filename: <named-content content-type="submitted-filename">Peer Review of Manuscript PONE_PlosOne.docx</named-content></p></caption><media xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="pone.0347582.s002.docx" position="float" orientation="portrait"><?suppdata-name pone.0347582.s002.docx?><?suppdata-size 17698?><?suppdata-md5 fa2e9653d87c810bfc03c6a18f9b4b47?><?suppdata-image-server-status NEVER_LOAD?><?suppdata-mime-type application?><?suppdata-mime-sub-type vnd.openxmlformats-officedocument.wordprocessingml.document?><?suppdata-cloudpmc-urn urn:app:37b7/13138621/fa2e9653d87c/pone.0347582.s002.docx?></media></supplementary-material></body></sub-article><sub-article article-type="author-comment" id="pone.0347582.r002"><front-stub><article-id pub-id-type="doi">10.1371/journal.pone.0347582.r002</article-id><title-group><article-title>Author response to Decision Letter 1</article-title></title-group><related-article xmlns:xlink="http://www.w3.org/1999/xlink" related-article-type="editor-report" id="rel-obj003" journal-id="PLoS One" journal-id-type="nlm-ta" ext-link-type="pubmed" xlink:href="42081499"/><custom-meta-group><custom-meta><meta-name>Submission Version</meta-name><meta-value>1</meta-value></custom-meta></custom-meta-group></front-stub><body><p>
<named-content content-type="author-response-date">12 Mar 2026</named-content>
</p><p>Response to reviewers</p><p>Journal requirements</p><p>In response to the request in the decision e-mail, we would like to explain the restrictions to data sharing for this study. We used data from the ABCD study provided by the NIMH. The signed Data Use Certification states:</p><p>“Recipients agree to retain control over data and to not distribute, sell, or move data, with or without charge, in any form, to any other individual, entity, or third-party system [...].”</p><p>Hence, the data does not belong to us / our institutions and we do not have the right to share the data. We did share all analysis scripts of our study (see <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://osf.io/gw8d3/overview?view_only=abcea2aaa99d448a8b7cb068d9f030a0" ext-link-type="uri">https://osf.io/gw8d3/overview?view_only=abcea2aaa99d448a8b7cb068d9f030a0</ext-link>).</p><p>Response to reviewer 1</p><p>(responses in italics)</p><p>Dear Authors,</p><p>Thank you for the opportunity to review your manuscript, "The longitudinal relation between adolescents’ learning outcomes and internalizing symptoms: The role of ADHD symptoms". This is an important and timely article that addresses a complex and highly relevant issue. The use of the impressive ABCD Study dataset and the application of sophisticated latent change score models are significant strengths.</p><p>Thank you for the extensive review and valuable feedback on our paper.</p><p>This note is to explain the reasoning behind my answers to the review questions and to provide detailed feedback for revision. While the manuscript is clearly written and the statistical analyses are appropriate and rigorous, I have indicated that the data only partly support the conclusions at this stage. This assessment is based on several key areas that, I believe, require revision to strengthen the manuscript's overall impact and clarity. My detailed comments are provided below.</p><p>Major Points:</p><p>1. Operationalization and Measurement of "Learning Outcomes": The sole measure for learning outcomes is a single parent-report item on their child's school grades. While acknowledging the constraints of large-scale datasets, this is a significant limitation that impacts the strength of the conclusions drawn about this core construct.</p><p>o Recommendation: Please expand the discussion on this limitation. Specifically, address the potential biases of parent-reported grades versus more objective measures and discuss the implications of treating this ordinal variable as continuous in the models. Furthermore, for consistency, consider changing the keyword "academic achievement" to "parent-reported school grades" or "school records," which are the terms used more consistently throughout the manuscript.</p><p>We agree that this operationalization is a limitation and should be discussed accordingly. We have added a paragraph to the discussion (see p. 33-34) and replaced the term “academic achievement” with “school records”(in the keywords as well as the “Data and sample”-section).</p><p>2. Interpretation of Key Findings: The manuscript presents several significant and compelling gender differences in the results, but these are not interpreted or contextualized in the discussion. This omission leaves a major part of the findings unexplored.</p><p>o Recommendation: The Discussion section should be expanded to include an interpretation of these gender differences. What are the potential theoretical or clinical implications of these findings? For instance, the finding that females show a larger decrease in both anxiety and depression symptoms warrants further exploration in the context of existing literature on gender differences in adolescent mental health.</p><p>We did not discuss these gender differences, as they were not the focus of our hypotheses. However, we do agree that this is an interesting part of the results and have therefore added a paragraph to the Discussion section in which we interpret these findings and make a connection with existing literature, see p. 30-31.</p><p>3. Contextual Factors: The potential confounding impact of the COVID-19 pandemic on the developmental trajectories, particularly for depression, is noted as a limitation but is not sufficiently integrated into the main interpretation of the results.</p><p>o Recommendation: The authors should integrate this potential confounder more deeply into the interpretation of the results in the Discussion. This could help explain why the depression trajectory results contradicted both the authors' hypotheses and previous literature.</p><p>Based on this comment, we have noticed that the interpretation of the results with respect to the developmental trajectory for depression was incorrect. More specifically, we concluded that depression symptoms declined, but the descriptive statistics showed an increase. After careful consideration, we have found that the cause for this mistake was a not-optimal coding of gender in the datafile of 1 (male) and 2 (female). We have changed this to 0 and 1, respectively, and were then able to properly interpret the results, which actually showed an increase in depression symptoms over time and thus (partly) confirmed our hypothesis. We have reran all analyses with this adapted coding for gender, which explains the slight changes throughout the Results section. In addition, we have added figures of the developmental trajectories for ease of interpretation (Figure 1). In addition, we incorporated the COVID-pandemic in the interpretation of the results for depression, see p. 30.</p><p>4. Clarity of Hypothesis Testing Regarding ADHD's Role: The third research question hypothesized that ADHD symptoms would explain the relation between school records and internalizing symptoms. As the bivariate analyses found no longitudinal coupling between them, this hypothesis could not be directly tested. The current framing might be slightly misleading.</p><p>o Recommendation: Consider reframing the third research question and hypotheses in the Introduction. Instead of framing ADHD as an explanatory variable for a presumed relationship, it would be more accurate to state that the study aims to simultaneously examine the trivariate dynamic relationships among the three constructs.</p><p>We agree that hypotheses 3.a.iii and 3.b.ii were slightly misleading, because they assumed a certain result for the second research question. We therefore reformulated the aim (“Third, we evaluated the trivariate dynamic relation between ADHD-symptoms, school records and..”). With respect to the hypotheses, we chose to keep the wording such that ADHD-symptoms would explain the relationship, but explicitly added (“if a relation between school records and subsequent anxiety is found, ..”), to take out the misleading character. The reason why we did not want to change the hypotheses is that we prefer not to do so after finishing the study when another solution is available. Also, they connect well to the literature described in the Introduction.</p><p>Minor Points:</p><p>1. Framing in the Introduction: The introduction begins by discussing Specific Learning Disorder (SLD), but the study focuses on a continuum of symptoms in a general population sample.</p><p>o Recommendation: Please make the transition from the discussion of SLD to the study's focus on the continuum of learning outcomes smoother and more explicit.</p><p>You are right, this was not completely clear. We have now made the focus on the general population more explicit in the last paragraph of the first part of the introduction.</p><p>2. Data from T4: The methods section states that data from T4 were excluded because academic achievement data were missing.</p><p>o Recommendation: Please clarify if data for the other key variables (e.g., CBCL) were available at T4 and briefly justify the decision to stop at T3 for all variables rather than using models that can accommodate missing data.</p><p>We have added the following clarification: “Although data for the other variables were available, using alternative methods such as imputation was not an option, because school records formed an essential element in the analyses and were missing for all children at T4” (see p. 9).</p><p>3. Reporting of Model Fit: In several instances, model selection relied on the chi-squared difference test, even when an alternative model had similar or better fit indices (e.g., RMSEA/CFI).</p><p>o Recommendation: It would be helpful to add a brief sentence justifying the reliance on the chi-squared difference test in these specific cases, especially given the large sample size.</p><p>We acknowledge that the chi-squared difference test is often significant in the case of a large sample size. However, model comparison was additionally based on the fit indices and on the significance of the proportional change components. We have now better clarified this in the paper on p. 14.</p><p>To explain this in a bit more detail, we have summarized the results related to research question 1 in the following table:</p><p>Model chi-squared diff. test RMSEA CFI Proportional change components Decision</p><p>RQ1 school records d1 b2 c1 / d1 / d2 sign. d1</p><p>RQ1 anxiety b2 b2 / d2 d2 n.s. b2</p><p>RQ1 depression d3 d3 d3 sign. d3</p><p>RQ1 ADHD d3 c1 / d3 c1 / d2 / d3 sign. d3</p><p>For school records, the chosen model (d1) does not have the lowest RMSEA, but it does have the highest CFI (just as high as c1 and d2, but d1 is the more parsimonious of these three).</p><p>For anxiety, we indeed chose a model that did not have the highest CFI. However, either of the models d would not be a good choice, because the proportional change components were not significant, which speaks for the more parsimonious model b2.</p><p>For ADHD, the CFI hints at c1, d2 or d3, but d2 has a lower number of df and thus is less parsimonious. Apart from the chi-squared test and significance of the proportional change components, the AIC- and sa-BIC-values also favor model d3 above c1.</p><p>I believe that by addressing these comments, the manuscript will be an excellent contribution to the journal.</p><p>We think the adjustments made based on your comments have indeed improved the manuscript.</p><p>Response to reviewer 2</p><p>(responses in italics)</p><p>This longitudinal study examined the relationships among adolescents’ learning outcomes, internalizing symptoms (anxiety and depression), and ADHD symptoms using four waves of data from the Adolescent Brain Cognitive Development (ABCD) Study involving 11,867 U.S. children aged 9–12 years. Latent change score modeling showed that academic performance correlated with anxiety and depression but did not predict changes in these symptoms over time. ADHD symptoms were associated with both poorer school records and higher internalizing symptoms; however, they did not explain their interrelation. Depression predicted subsequent increases in ADHD symptoms. The findings highlight the importance of early detection of depressive symptoms. This study was well-conducted and the manuscript is well-written. Some minor comments are listed as below.</p><p>Thank you for the compliments and for your valuable feedback on our paper.</p><p>1. The study uses four timepoints from the ABCD dataset and latent change score modeling (LCSM), which allows a nuanced examination of within-person changes. This is a methodological strength, particularly for studying developmental trajectories in a large, representative sample.</p><p>Thank you. We had already briefly mentioned this as a strength and have now slightly extended this part, see p. 34.</p><p>2. The hypotheses could be better grounded in specific theoretical frameworks (e.g., multiple deficit model or transactional models). The discussion might better integrate these theories to interpret the null findings, particularly why ADHD did not mediate the link between learning outcomes and internalizing symptoms.</p><p>We have chosen to keep the introduction as it is in this respect, as we have specified the multiple deficit framework in the beginning and subsequently based the hypotheses on what is known in the empirical literature about the specific relations between the variables of interest. However, we agree that, in the Discussion, we need to come back to this theoretical framework from the Introduction, which was lacking. Therefore, we have added a paragraph at the end of the Discussion in which a link is made to both the multiple deficit model and the transactional model (see p. 34-35).</p><p>3. The exclusive use of parent reports for ADHD, anxiety, and depression may limit validity. Adolescents’ self-reports or teacher evaluations could have provided complementary perspectives, especially for internalizing symptoms, which parents may underreport. This limitation deserves more emphasis in the discussion.</p><p>We have added the use of parent-report for (both school records and) symptoms of ADHD, anxiety, and depression as a limitation to the Discussion, see p. 33-34.</p><p>4. While the manuscript concludes with practical recommendations for teachers, these implications are only loosely connected to the actual analytic results. The paper could benefit from a clearer discussion on how observed statistical patterns translate into real-world educational or clinical practice.</p><p>We did try to base the recommendations for teachers on the concrete results of the current study. However, the paragraph (which we now moved to the end of the Discussion) could be better framed, which we did. In addition, we now added recommendations not only for educational, but also for clinical practice, see p. 35-36.</p><supplementary-material id="pone.0347582.s004" position="float" content-type="local-data" orientation="portrait"><label>Attachment</label><caption><p>Submitted filename: <named-content content-type="submitted-filename">Response to Reviewers_final.docx</named-content></p></caption><media xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="pone.0347582.s004.docx" position="float" orientation="portrait"><?suppdata-name pone.0347582.s004.docx?><?suppdata-size 25251?><?suppdata-md5 ec64b9c09a7da3efd61fbc5e877347db?><?suppdata-image-server-status NEVER_LOAD?><?suppdata-mime-type application?><?suppdata-mime-sub-type vnd.openxmlformats-officedocument.wordprocessingml.document?><?suppdata-cloudpmc-urn urn:app:37b7/13138621/ec64b9c09a7d/pone.0347582.s004.docx?></media></supplementary-material></body></sub-article><sub-article article-type="aggregated-review-documents" id="pone.0347582.r003" specific-use="decision-letter"><front-stub><article-id pub-id-type="doi">10.1371/journal.pone.0347582.r003</article-id><title-group><article-title>Decision Letter 1</article-title></title-group><contrib-group><contrib contrib-type="author"><name name-style="western"><surname>Chen</surname><given-names initials="MH">Mu-Hong</given-names></name><role>Academic Editor</role></contrib></contrib-group><permissions><copyright-statement>© 2026 Mu-Hong Chen</copyright-statement><copyright-year>2026</copyright-year><copyright-holder>Mu-Hong Chen</copyright-holder><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/" specific-use="textmining" content-type="ccbylicense">https://creativecommons.org/licenses/by/4.0/</ali:license_ref><license-p>This is an open access article distributed under the terms of the <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited., which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited., which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited., which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p></license></permissions><related-article xmlns:xlink="http://www.w3.org/1999/xlink" related-article-type="reviewed-article" id="rel-obj004" journal-id="PLoS One" journal-id-type="nlm-ta" ext-link-type="pubmed" xlink:href="42081499"/><custom-meta-group><custom-meta><meta-name>Submission Version</meta-name><meta-value>1</meta-value></custom-meta></custom-meta-group></front-stub><body><p>
<named-content content-type="letter-date">5 Apr 2026</named-content>
</p><p>The longitudinal relation between adolescents’ learning outcomes and internalizing symptoms: The role of ADHD symptoms</p><p>PONE-D-25-47753R1</p><p>Dear Dr. Janin Brandenburg,</p><p>We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.</p><p>Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.</p><p>An invoice will be generated when your article is formally accepted. Please note, if your institution has a publishing partnership with PLOS and your article meets the relevant criteria, all or part of your publication costs will be covered. Please make sure your user information is up-to-date by logging into Editorial Manager at <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://www.editorialmanager.com/pone/" ext-link-type="uri">Editorial Manager®</ext-link> and clicking the ‘Update My Information' link at the top of the page. For questions related to billing, please contact  and clicking the ‘Update My Information' link at the top of the page. For questions related to billing, please contact  and clicking the ‘Update My Information' link at the top of the page. For questions related to billing, please contact  and clicking the ‘Update My Information' link at the top of the page. For questions related to billing, please contact <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://plos.my.site.com/s/" ext-link-type="uri">billing support</ext-link>....</p><p>If your institution or institutions have a press office, please notify them about your upcoming paper to help maximize its impact. If they’ll be preparing press materials, please inform our press team as soon as possible -- no later than 48 hours after receiving the formal acceptance. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information, please contact onepress@plos.org.</p><p>Kind regards,</p><p>Mu-Hong Chen, M.D., Ph.D.</p><p>Academic Editor</p><p>PLOS One</p><p>Additional Editor Comments (optional):</p><p>Reviewers' comments:</p><p>Reviewer's Responses to Questions</p><p>
<bold>Comments to the Author</bold>
</p><p>Reviewer #1: All comments have been addressed</p><p>Reviewer #2: All comments have been addressed</p><p>**********</p><p>2. Is the manuscript technically sound, and do the data support the conclusions??&gt;</p><p>Reviewer #1: Yes</p><p>Reviewer #2: Yes</p><p>**********</p><p>3. Has the statistical analysis been performed appropriately and rigorously? --&gt;?&gt;</p><p>Reviewer #1: Yes</p><p>Reviewer #2: Yes</p><p>**********</p><p>4. Have the authors made all data underlying the findings in their manuscript fully available??&gt;</p><p>The <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://www.plosone.org/static/policies.action#sharing" ext-link-type="uri">PLOS Data policy</ext-link> requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.--&gt;</p><p>Reviewer #1: Yes</p><p>Reviewer #2: Yes</p><p>**********</p><p>5. Is the manuscript presented in an intelligible fashion and written in standard English??&gt;</p><p>Reviewer #1: Yes</p><p>Reviewer #2: Yes</p><p>**********</p><p>Reviewer #1: Dear Authors, Thank you for your thorough and thoughtful revision. I am highly impressed by the diligence with which you addressed all of my comments. Your decision to re-examine the data, which led to uncovering the gender coding error, exemplifies excellent and rigorous scientific practice. The revised trajectories now make much more sense, and the expanded discussion regarding measurement limitations, gender differences, and the COVID-19 context has substantially strengthened the manuscript. You have fully resolved all my concerns, and I am very happy to recommend this manuscript for publication. Congratulations on a great piece of work!</p><p>Reviewer #2: Thank you for the revision of the article "The longitudinal relation between adolescents’ learning outcomes and internalizing symptoms: The role of ADHD symptoms". My comments have been adequately addressed.</p><p>**********</p><p><ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://journals.plos.org/plosone/s/editorial-and-peer-review-process#loc-peer-review-history" ext-link-type="uri">what does this mean?</ext-link>). If published, this will include your full peer review and any attached files.). If published, this will include your full peer review and any attached files.). If published, this will include your full peer review and any attached files.). If published, this will include your full peer review and any attached files.</p><p>If you choose “no”, your identity will remain anonymous but your review may still be made public.</p><p><bold>Do you want your identity to be public for this peer review?</bold> For information about this choice, including consent withdrawal, please see our For information about this choice, including consent withdrawal, please see our For information about this choice, including consent withdrawal, please see our For information about this choice, including consent withdrawal, please see our <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://www.plos.org/privacy-policy" ext-link-type="uri">Privacy Policy</ext-link>..--&gt;</p><p>Reviewer #1: <bold>Yes:</bold> Dr. Chen Hanna RyderDr. Chen Hanna RyderDr. Chen Hanna RyderDr. Chen Hanna Ryder</p><p>Reviewer #2: No</p><p>**********</p></body></sub-article><sub-article article-type="editor-report" id="pone.0347582.r004" specific-use="acceptance-letter"><front-stub><article-id pub-id-type="doi">10.1371/journal.pone.0347582.r004</article-id><title-group><article-title>Acceptance letter</article-title></title-group><contrib-group><contrib contrib-type="author"><name name-style="western"><surname>Chen</surname><given-names initials="MH">Mu-Hong</given-names></name><role>Academic Editor</role></contrib></contrib-group><permissions><copyright-statement>© 2026 Mu-Hong Chen</copyright-statement><copyright-year>2026</copyright-year><copyright-holder>Mu-Hong Chen</copyright-holder><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/" specific-use="textmining" content-type="ccbylicense">https://creativecommons.org/licenses/by/4.0/</ali:license_ref><license-p>This is an open access article distributed under the terms of the <ext-link xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited., which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited., which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited., which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p></license></permissions><related-article xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="doi" xlink:href="10.1371/journal.pone.0347582" id="rel-obj005" related-article-type="reviewed-article"/></front-stub><body><p>PONE-D-25-47753R1</p><p>PLOS One</p><p>Dear Dr. Brandenburg,</p><p>I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS One. Congratulations! Your manuscript is now being handed over to our production team.</p><p>At this stage, our production department will prepare your paper for publication. This includes ensuring the following:</p><p>* All references, tables, and figures are properly cited</p><p>* All relevant supporting information is included in the manuscript submission,</p><p>* There are no issues that prevent the paper from being properly typeset</p><p>You will receive further instructions from the production team, including instructions on how to review your proof when it is ready. Please keep in mind that we are working through a large volume of accepted articles, so please give us a few days to review your paper and let you know the next and final steps.</p><p>Lastly, if your institution or institutions have a press office, please let them know about your upcoming paper now to help maximize its impact. If they'll be preparing press materials, please inform our press team within the next 48 hours. 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