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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">JPH</journal-id>
      <journal-id journal-id-type="nlm-ta">JMIR Public Health Surveill</journal-id>
      <journal-title>JMIR Public Health and Surveillance</journal-title>
      <issn pub-type="epub">2369-2960</issn>
      <publisher>
        <publisher-name>JMIR Publications</publisher-name>
        <publisher-loc>Toronto, Canada</publisher-loc>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">v9i1e47233</article-id>
      <article-id pub-id-type="pmid">37910159</article-id>
      <article-id pub-id-type="doi">10.2196/47233</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Original Paper</subject>
        </subj-group>
        <subj-group subj-group-type="article-type">
          <subject>Original Paper</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Effects of Bullying on Anxiety, Depression, and Posttraumatic Stress Disorder Among Sexual Minority Youths: Network Analysis</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="editor">
          <name>
            <surname>Mavragani</surname>
            <given-names>Amaryllis</given-names>
          </name>
        </contrib>
        <contrib contrib-type="editor">
          <name>
            <surname>Sanchez</surname>
            <given-names>Travis</given-names>
          </name>
        </contrib>
      </contrib-group>
      <contrib-group>
        <contrib contrib-type="reviewer">
          <name>
            <surname>Fedele</surname>
            <given-names>Emma</given-names>
          </name>
        </contrib>
        <contrib contrib-type="reviewer">
          <name>
            <surname>Scutari</surname>
            <given-names>Marco</given-names>
          </name>
        </contrib>
      </contrib-group>
      <contrib-group>
        <contrib id="contrib1" contrib-type="author" equal-contrib="yes">
          <name name-style="western">
            <surname>Li</surname>
            <given-names>Jiaqi</given-names>
          </name>
          <degrees>BS</degrees>
          <xref rid="aff1" ref-type="aff">1</xref>
          <xref rid="aff2" ref-type="aff">2</xref>
          <xref rid="aff3" ref-type="aff">3</xref>
          <xref rid="aff4" ref-type="aff">4</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0001-8943-2915</ext-link>
        </contrib>
        <contrib id="contrib2" contrib-type="author" equal-contrib="yes">
          <name name-style="western">
            <surname>Jin</surname>
            <given-names>Yu</given-names>
          </name>
          <degrees>PhD</degrees>
          <xref rid="aff5" ref-type="aff">5</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0002-3290-3293</ext-link>
        </contrib>
        <contrib id="contrib3" contrib-type="author" equal-contrib="yes">
          <name name-style="western">
            <surname>Xu</surname>
            <given-names>Shicun</given-names>
          </name>
          <degrees>PhD</degrees>
          <xref rid="aff6" ref-type="aff">6</xref>
          <xref rid="aff7" ref-type="aff">7</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0003-4119-5222</ext-link>
        </contrib>
        <contrib id="contrib4" contrib-type="author">
          <name name-style="western">
            <surname>Wilson</surname>
            <given-names>Amanda</given-names>
          </name>
          <degrees>PhD</degrees>
          <xref rid="aff8" ref-type="aff">8</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0002-4381-689X</ext-link>
        </contrib>
        <contrib id="contrib5" contrib-type="author">
          <name name-style="western">
            <surname>Chen</surname>
            <given-names>Chang</given-names>
          </name>
          <degrees>PhD</degrees>
          <xref rid="aff1" ref-type="aff">1</xref>
          <xref rid="aff2" ref-type="aff">2</xref>
          <xref rid="aff3" ref-type="aff">3</xref>
          <xref rid="aff4" ref-type="aff">4</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0002-3482-0950</ext-link>
        </contrib>
        <contrib id="contrib6" contrib-type="author">
          <name name-style="western">
            <surname>Luo</surname>
            <given-names>Xianyu</given-names>
          </name>
          <degrees>BSc</degrees>
          <xref rid="aff5" ref-type="aff">5</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0009-0003-9102-244X</ext-link>
        </contrib>
        <contrib id="contrib7" contrib-type="author">
          <name name-style="western">
            <surname>Liu</surname>
            <given-names>Yuhang</given-names>
          </name>
          <degrees>BSc</degrees>
          <xref rid="aff5" ref-type="aff">5</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0009-0000-5787-9173</ext-link>
        </contrib>
        <contrib id="contrib8" contrib-type="author">
          <name name-style="western">
            <surname>Ling</surname>
            <given-names>Xi</given-names>
          </name>
          <degrees>LLB</degrees>
          <xref rid="aff1" ref-type="aff">1</xref>
          <xref rid="aff2" ref-type="aff">2</xref>
          <xref rid="aff3" ref-type="aff">3</xref>
          <xref rid="aff4" ref-type="aff">4</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0009-0007-7175-4255</ext-link>
        </contrib>
        <contrib id="contrib9" contrib-type="author">
          <name name-style="western">
            <surname>Sun</surname>
            <given-names>Xi</given-names>
          </name>
          <degrees>PhD</degrees>
          <xref rid="aff7" ref-type="aff">7</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0002-3828-0437</ext-link>
        </contrib>
        <contrib id="contrib10" contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Wang</surname>
            <given-names>Yuanyuan</given-names>
          </name>
          <degrees>PhD, Prof Dr</degrees>
          <xref rid="aff1" ref-type="aff">1</xref>
          <address>
            <institution>School of Psychology</institution>
            <institution>South China Normal University</institution>
            <addr-line>55 West Zhongshan Avenue</addr-line>
            <addr-line>Tianhe District</addr-line>
            <addr-line>Guangzhou, 510660</addr-line>
            <country>China</country>
            <phone>86 13138157257</phone>
            <email>angelayuanyuanwang@gmail.com</email>
          </address>
          <xref rid="aff2" ref-type="aff">2</xref>
          <xref rid="aff3" ref-type="aff">3</xref>
          <xref rid="aff4" ref-type="aff">4</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0002-2141-4056</ext-link>
        </contrib>
      </contrib-group>
      <aff id="aff1">
        <label>1</label>
        <institution>School of Psychology</institution>
        <institution>South China Normal University</institution>
        <addr-line>Guangzhou</addr-line>
        <country>China</country>
      </aff>
      <aff id="aff2">
        <label>2</label>
        <institution>Key Laboratory of Brain, Cognition and Education Sciences</institution>
        <institution>Ministry of Education</institution>
        <addr-line>Guangzhou</addr-line>
        <country>China</country>
      </aff>
      <aff id="aff3">
        <label>3</label>
        <institution>Center for Studies of Psychological Application</institution>
        <institution>South China Normal University</institution>
        <addr-line>Guangzhou</addr-line>
        <country>China</country>
      </aff>
      <aff id="aff4">
        <label>4</label>
        <institution>Guangdong Key Laboratory of Mental Health and Cognitive Science</institution>
        <institution>South China Normal University</institution>
        <addr-line>Guangzhou</addr-line>
        <country>China</country>
      </aff>
      <aff id="aff5">
        <label>5</label>
        <institution>College of Education for the Future</institution>
        <institution>Beijing Normal University</institution>
        <addr-line>Beijing</addr-line>
        <country>China</country>
      </aff>
      <aff id="aff6">
        <label>6</label>
        <institution>Northeast Asian Research Center</institution>
        <institution>Jilin University</institution>
        <addr-line>Changchun</addr-line>
        <country>China</country>
      </aff>
      <aff id="aff7">
        <label>7</label>
        <institution>Department of Population, Resources and Environment</institution>
        <institution>Jilin University</institution>
        <addr-line>Changchun</addr-line>
        <country>China</country>
      </aff>
      <aff id="aff8">
        <label>8</label>
        <institution>Faculty of Health and Life Sciences</institution>
        <institution>De Montfort University</institution>
        <addr-line>De Montfort</addr-line>
        <country>United Kingdom</country>
      </aff>
      <author-notes>
        <corresp>Corresponding Author: Yuanyuan Wang <email>angelayuanyuanwang@gmail.com</email></corresp>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2023</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>1</day>
        <month>11</month>
        <year>2023</year>
      </pub-date>
      <volume>9</volume>
      <elocation-id>e47233</elocation-id>
      <history>
        <date date-type="received">
          <day>13</day>
          <month>3</month>
          <year>2023</year>
        </date>
        <date date-type="rev-request">
          <day>17</day>
          <month>5</month>
          <year>2023</year>
        </date>
        <date date-type="rev-recd">
          <day>6</day>
          <month>6</month>
          <year>2023</year>
        </date>
        <date date-type="accepted">
          <day>5</day>
          <month>9</month>
          <year>2023</year>
        </date>
      </history>
      <copyright-statement>©Jiaqi Li, Yu Jin, Shicun Xu, Amanda Wilson, Chang Chen, Xianyu Luo, Yuhang Liu, Xi Ling, Xi Sun, Yuanyuan Wang. Originally published in JMIR Public Health and Surveillance (https://publichealth.jmir.org), 01.11.2023.</copyright-statement>
      <copyright-year>2023</copyright-year>
      <license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/">
        <p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work, first published in JMIR Public Health and Surveillance, is properly cited. The complete bibliographic information, a link to the original publication on https://publichealth.jmir.org, as well as this copyright and license information must be included.</p>
      </license>
      <self-uri xlink:href="https://publichealth.jmir.org/2023/1/e47233" xlink:type="simple"/>
      <abstract>
        <sec sec-type="background">
          <title>Background</title>
          <p>Bullying victimization is highly prevalent among sexual minority youths, particularly in educational settings, negatively affecting their mental health. However, previous studies have scarcely explored the symptomatic relationships among anxiety, depression, and posttraumatic stress disorder (PTSD) among sexual minority youths who experienced bullying on college campuses.</p>
        </sec>
        <sec sec-type="objective">
          <title>Objective</title>
          <p>The objectives of our study were to (1) characterize the anxiety-depression-PTSD network structures of gay or lesbian, bisexuals, and other sexual minority youths previously bullied on college campuses; and (2) compare symptomatic associations in the anxiety-depression-PTSD networks among bullied sexual minority youths and heterosexual youths’ groups.</p>
        </sec>
        <sec sec-type="methods">
          <title>Methods</title>
          <p>This cross-sectional study recruited college participants from Jilin Province, China. Data were analyzed using a subset of the data extracted after screening for sexual orientation and history of bullying victimization. Sexual minority youths were then divided into 3 subgroups: gay or lesbian (homosexual), bisexual, and other. Mental health symptom severity was assessed using scales: the 7-item Generalized Anxiety Disorder Scale measuring anxiety, the 9-item Patient Health Questionnaire measuring depression, and the 10-item Trauma Screening Questionnaire measuring PTSD symptoms. Combining the undirected and Bayesian network analyses, the anxiety-depression-PTSD networks were compared among sexual minority youths subgroups, and the difference between heterosexual youths and sexual minority youths was investigated. Chi-square tests were used to compare the difference in categorical variables, while independent-sample <italic>t</italic> tests were run on continuous variables.</p>
        </sec>
        <sec sec-type="results">
          <title>Results</title>
          <p>In this large-scale sample of 89,342 participants, 12,249 identified as sexual minority youths, of which 1603 (13.1%, 95% CI 12.5%-13.7%) reported being bullied on college campuses in the past year. According to the expected influence (EI) and bridge expected influence (bEI) index, in the global network structure of anxiety, depression, and PTSD, sad mood (EI=1.078, bEI=0.635) and irritability (EI=1.077, bEI=0.954) were identified as central and bridge symptoms; emotional cue reactivity (EI=1.015) was a central symptom of PTSD in this global network. In the anxiety-depression-PTSD Bayesian network, anhedonia had the highest prediction priority for activating other symptoms; and feeling afraid linked symptoms from anxiety to the PTSD community. Compared to their heterosexual counterparts, sexual minority youths exhibited a stronger association between difficulty concentrating and appetite. The “sad mood-appetite” edge was strongest in the gay or lesbian network; the “irritability-exaggerated startle response” edge was strongest in the bisexual network.</p>
        </sec>
        <sec sec-type="conclusions">
          <title>Conclusions</title>
          <p>For the first time, this study identified the most central and bridge symptoms (sad mood and irritability) within the depression-anxiety-PTSD network of sexual minority youths with past bullying-victim experiences on college campuses. Emotional cue reactivity, anhedonia, and feeling afraid were other vital symptoms in the comorbid network. Symptomatic relationships existed showing heterogeneity in bullied heterosexual youths and sexual minority youth networks, which also was present within the sexual minority youth subgroups. Consequently, refined targeted interventions are required to relieve anxiety, depression, and PTSD symptoms.</p>
        </sec>
      </abstract>
      <kwd-group>
        <kwd>sexual minority youths</kwd>
        <kwd>bullying victimization</kwd>
        <kwd>anxiety</kwd>
        <kwd>depression</kwd>
        <kwd>posttraumatic stress disorder</kwd>
        <kwd>network analysis</kwd>
        <kwd>Bayesian network</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec sec-type="introduction">
      <title>Introduction</title>
      <p>Bullying is defined as the intent or behavior that seeks to harm another person repeatedly, with an imbalance of power [<xref ref-type="bibr" rid="ref1">1</xref>,<xref ref-type="bibr" rid="ref2">2</xref>]. It is reported in the literature that the rate of bullying in higher education (on college or university campuses) varies across cultures, ranging from 1.7% to 25.2% [<xref ref-type="bibr" rid="ref3">3</xref>-<xref ref-type="bibr" rid="ref5">5</xref>]. Particularly, sexual minority youths, who identify their sexual orientations as nonheterosexual, such as lesbian, gay, or bisexual, are vulnerable to discrimination and bullying [<xref ref-type="bibr" rid="ref5">5</xref>,<xref ref-type="bibr" rid="ref6">6</xref>], and have higher odds of experiencing bullying on campus than their heterosexual counterparts [<xref ref-type="bibr" rid="ref7">7</xref>-<xref ref-type="bibr" rid="ref10">10</xref>]. A national survey in the United States further reported that sexual minority youths experience a high rate of verbal harassment (76.1%), sexual harassment (53.7%), physical harassment (31.2%), and physical assault (12.5%) [<xref ref-type="bibr" rid="ref11">11</xref>]. In addition, after being bullied, sexual minority youths may experience adverse physical health and persistent negative effects on their mental health [<xref ref-type="bibr" rid="ref12">12</xref>].</p>
      <p>A considerable amount of literature has reported that sexual minority youths exhibit higher rates of anxiety, depression, and posttraumatic stress disorder (PTSD) than their heterosexual counterparts [<xref ref-type="bibr" rid="ref13">13</xref>-<xref ref-type="bibr" rid="ref16">16</xref>]. As a recent meta-analysis noted [<xref ref-type="bibr" rid="ref17">17</xref>], compared to heterosexual counterparts, lesbian or gay, as well as bisexual individuals yielded a higher risk of anxiety and depression. In addition, sexual minority individuals were found to be vulnerable to adverse experiences, such as being harassed and even bullied in school, increasing the risk for anxiety, depression, and PTSD than those participants who have not experienced adverse life events [<xref ref-type="bibr" rid="ref18">18</xref>].</p>
      <p>Past research has found differences in mental health problems among subgroups of sexual minorities [<xref ref-type="bibr" rid="ref17">17</xref>,<xref ref-type="bibr" rid="ref19">19</xref>]. For example, the result from a longitudinal study suggests that bullying victimization is connected to stronger depressive symptoms among bisexual women, and stronger anxiety symptoms among bisexual men [<xref ref-type="bibr" rid="ref20">20</xref>]. Bisexual individuals are also more likely to report PTSD than their gay or lesbian counterparts [<xref ref-type="bibr" rid="ref21">21</xref>]. Pansexual women appear to be more open about their sexuality but with a higher consciousness in regard to their sexual orientation-based stigma than bisexual women, which is linked to poorer mental health [<xref ref-type="bibr" rid="ref22">22</xref>]. Further, asexual men are suggested to have higher scores of depression and psychiatric disturbance than their homosexual and bisexual counterparts [<xref ref-type="bibr" rid="ref23">23</xref>]. The above studies show a high heterogeneity of mental health outcomes among sexual minority subgroups. However, whether these differences remain consistent among sexual minority youths who are being bullied on college campuses requires further exploration.</p>
      <p>Minority stress theory provides a conceptual model that the mental health issues of sexual minorities are partially derived from minority stressors, which are defined as the excess stress to which individuals from stigmatized social categories are exposed to due to their minority position [<xref ref-type="bibr" rid="ref24">24</xref>], such as higher rates of bullying and discrimination. Furthermore, minority stress can cause biological responses that are related to mental health symptoms [<xref ref-type="bibr" rid="ref25">25</xref>]. For example, exposure to general minority stress can affect one’s gene expression, which is connected to cardiovascular function [<xref ref-type="bibr" rid="ref26">26</xref>] and exerts an interactional effect between anxiety, depression, and PTSD [<xref ref-type="bibr" rid="ref27">27</xref>-<xref ref-type="bibr" rid="ref29">29</xref>]. Meanwhile, it may increase the dysregulation of the hypothalamus-pituitary-adrenal axis, directly adding to the risk of depression, anxiety, and PTSD [<xref ref-type="bibr" rid="ref30">30</xref>,<xref ref-type="bibr" rid="ref31">31</xref>]. Nevertheless, the symptomatic relationship between anxiety, depression, and PTSD among sexual minority youths who are bullied on college campuses lacks investigation.</p>
      <p>In recent years, several published studies have adopted network analysis in both clinical psychology or psychiatric fields to explore the relationship between symptoms of various disorders [<xref ref-type="bibr" rid="ref32">32</xref>-<xref ref-type="bibr" rid="ref34">34</xref>]. The undirected network analysis depicts the interactions between individual symptoms, with a symptom being termed a “node,” and the partial correlation coefficient between 2 nodes determining their “edge” [<xref ref-type="bibr" rid="ref35">35</xref>]. According to the expected influence (EI) index and the bridge expected influence (bEI) index, the central and bridge symptoms of the network structure could be identified, respectively [<xref ref-type="bibr" rid="ref36">36</xref>,<xref ref-type="bibr" rid="ref37">37</xref>]. Furthermore, in this study, Bayesian network analysis was applied to clarify the directed relationship between symptoms further. Based on the completed partially directed acyclic graph (CPDAG), Bayesian network analysis can unclose the putative directions of the potential causal relationship between 2 nodes [<xref ref-type="bibr" rid="ref38">38</xref>], and it could help to discover activating paths among symptoms of anxiety, depression, and PTSD network [<xref ref-type="bibr" rid="ref33">33</xref>].</p>
      <p>Given these premises, this study was implemented using undirected and Bayesian network analyses to achieve 2 main objectives: first, to characterize the symptomatic relationships in the anxiety-depression-PTSD network among bullied sexual minority youths and sexual minority youth subgroups; second, to compare the network structures among bullied sexual minority youth subgroups. For aim 1, based on previous results [<xref ref-type="bibr" rid="ref34">34</xref>,<xref ref-type="bibr" rid="ref39">39</xref>,<xref ref-type="bibr" rid="ref40">40</xref>], the researchers hypothesized that depressive and anxious symptoms would be the most central and bridge among all symptoms. For aim 2, considering sexual minority youth subgroups have various prevalence and symptomatic manifestations of anxiety, depression, and PTSD [<xref ref-type="bibr" rid="ref14">14</xref>,<xref ref-type="bibr" rid="ref21">21</xref>], the researchers hypothesized that different strengths of symptomatic associations would exist among sexual minority youth subgroups who had disclosed experiences of being bullied. In addition, the researchers aimed to enrich the field, as well as help offer targeted suggestions and interventions for specific symptoms associated with poor mental health.</p>
    </sec>
    <sec sec-type="methods">
      <title>Methods</title>
      <sec>
        <title>Participants and Settings</title>
        <p>This study was designed with a cross-sectional approach, recruiting College students from 63 Universities or Colleges in Jilin Province, China, from October to November 2021. Students completed an electronic questionnaire with a Quick Response code, delivered by their teachers with their classmates. The inclusion criteria for recruitment were (1) being 15 years old or older; (2) studying at universities or colleges in Jilin Province, China; (3) understanding the Chinese questionnaire and having the ability to provide informed consent.</p>
      </sec>
      <sec>
        <title>Ethical Considerations</title>
        <p>Ethical approval for this study was granted by the Ethics Committee of Jilin University (NO20210929 [11 October 2021]), following the 1964 Helsinki Declaration and its amendments in 2013. Electronic informed consent was provided by all participants, with consent that their answers could be applied to any secondary analyses.</p>
      </sec>
      <sec>
        <title>Measurements</title>
        <p>Participants’ sexual orientation was measured by a single-option question with 6 items: “Which of the following better describes your sexual orientation?” Except for heterosexuality, all other sexual orientations are combined to form the sexual minority youth group [<xref ref-type="bibr" rid="ref41">41</xref>,<xref ref-type="bibr" rid="ref42">42</xref>], which was then further divided into 3 subgroups, including homosexuality (gay or lesbian), bisexuality, and others (asexuality, pansexuality, and uncertain). Anxiety was measured by the 7-item Generalized Anxiety Disorder Questionnaire [<xref ref-type="bibr" rid="ref43">43</xref>], depression by the 9-item Patient Health Questionnaire [<xref ref-type="bibr" rid="ref44">44</xref>], and PTSD by the 10-item Trauma Screening Questionnaire [<xref ref-type="bibr" rid="ref45">45</xref>]. The experience of being bullied during higher education was measured by a single question: “Have you ever been bullied on campus in the past year?” Details of measurements are presented in the Section S1 in <xref ref-type="supplementary-material" rid="app1">Multimedia Appendix 1</xref>, Additional information for networks.</p>
      </sec>
      <sec>
        <title>Statistical Analysis</title>
        <sec>
          <title>Descriptive Analysis</title>
          <p>In total, 117,769 participants were recruited and 89,342 were included according to the criteria and completion of the questionnaire. A descriptive analysis was run on the subdata extracted from screening for sexual orientation and history of bullying victimization. In the data set of those who had been bullied on college campuses in the past, they were divided into groups of heterosexual and sexual minority youth groups. Sociodemographic variables included participants’ age, sex, residence, ethnicity, family type, current annual income, and whether they were an only child. The categorical variables in heterosexual or sexual minority youth groups were compared by chi-square tests, while continuous variables were compared by two-tailed independent-sample <italic>t</italic> tests.</p>
        </sec>
        <sec>
          <title>Undirected Network Estimation</title>
          <p>This study used R programming [<xref ref-type="bibr" rid="ref46">46</xref>] to structure the undirected network, with the R package “qgraph” (R Foundation for Statistical Computing) to visualize the Graphical Gaussian Model [<xref ref-type="bibr" rid="ref35">35</xref>]. The R package “mgm” assessed the predictability of a node, referring to the variance of a node that could be explained by all others [<xref ref-type="bibr" rid="ref47">47</xref>]. The differences between the sexual minority youths and heterosexual network structures and among sexual minority youth subgroups were compared using the R package “Network Comparison Test” with 1000 permutations [<xref ref-type="bibr" rid="ref48">48</xref>]. For more detail on the method, see Section S2 in <xref ref-type="supplementary-material" rid="app1">Multimedia Appendix 1</xref>, Additional information for networks.</p>
        </sec>
        <sec>
          <title>Bayesian Network Estimation</title>
          <p>In this study, DAG was modelled by the R package “bnlearn,” with the hill-climbing algorithm [<xref ref-type="bibr" rid="ref49">49</xref>]. To further obtain a clear direction among symptoms, the Markov equivalence classes of the DAG were drawn, which can be described uniquely by a CPDAG [<xref ref-type="bibr" rid="ref50">50</xref>]. In CPDAG, all arrows of undirected edges can be invertible, while all directed edges cannot be converted into undirected edges. Finally, in the determined CPDAG, the direct activating paths in the Bayesian network are more conclusive. More details are shown in Section S2 in <xref ref-type="supplementary-material" rid="app1">Multimedia Appendix 1</xref>, Additional information for networks.</p>
        </sec>
      </sec>
    </sec>
    <sec sec-type="results">
      <title>Results</title>
      <sec>
        <title>Descriptive Statistics</title>
        <p><xref ref-type="table" rid="table1">Table 1</xref> presents the sociodemographic characteristics of participants. Within groups, 5063 (6%) heterosexual participants and 1603 (13.1%) sexual minority youth participants reported being bullied on college campuses in the past year. The prevalence of bullying among heterosexual youths was 6% (95% CI 5.9%-6.2%), and 13.1% (95% CI 12.5%-13.7%) among sexual minority youths. Furthermore, among gay participants, the prevalence of bullying was 19.9% (95% CI 17.1%-23.1%), 12.2% (95% CI 9.8%-15.1%) among lesbians, 15.6% (95% CI 13.6%-17.9%) among bisexual males, and 12% (95% CI 11.2%-12.9%) among bisexual females. The odds of being bullied among sexual minority males was 14.4% (95% CI 12.7%-16.2%), and 11.8% (95% CI 10.6%-13%) among sexual minority females.</p>
        <table-wrap position="float" id="table1">
          <label>Table 1</label>
          <caption>
            <p>Sociodemographic characteristics of participants who had been bullied on college campuses.</p>
          </caption>
          <table width="1000" cellpadding="5" cellspacing="0" border="1" rules="groups" frame="hsides">
            <col width="30"/>
            <col width="140"/>
            <col width="110"/>
            <col width="120"/>
            <col width="100"/>
            <col width="100"/>
            <col width="100"/>
            <col width="100"/>
            <col width="0"/>
            <col width="50"/>
            <col width="0"/>
            <col width="80"/>
            <col width="0"/>
            <col width="70"/>
            <thead>
              <tr valign="top">
                <td colspan="2">
                  <break/>
                </td>
                <td>Heterosexuals (n=5063), n (%)</td>
                <td>Sexual minority youths (n=1603), n (%)</td>
                <td>Lesbian (n=77), n (%)</td>
                <td>Gay (n=142), n (%)</td>
                <td>Bisexuals (n=815), n (%)</td>
                <td>Others (n=569), n (%)</td>
                <td colspan="2">Χ²<sup>a</sup></td>
                <td colspan="2">Degrees of freedom (<italic>df</italic>)</td>
                <td colspan="2"><italic>P</italic> value</td>
              </tr>
            </thead>
            <tbody>
              <tr valign="top">
                <td colspan="9">
                  <bold>Sex</bold>
                </td>
                <td colspan="2">94.2</td>
                <td colspan="2">1</td>
                <td>&#60;.001<sup>b</sup></td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Male</td>
                <td>2444 (48.3)</td>
                <td>552 (34.4)</td>
                <td>N/A<sup>c</sup></td>
                <td>142 (100)</td>
                <td>176 (21.6)</td>
                <td>234 (41.1)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Female</td>
                <td>2619 (51.7)</td>
                <td>1051 (65.6)</td>
                <td>77 (100)</td>
                <td>N/A</td>
                <td>639 (78.4)</td>
                <td>335 (58.9)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td colspan="9">
                  <bold>Residence</bold>
                </td>
                <td colspan="2">44.6</td>
                <td colspan="2">1</td>
                <td>&#60;.001<sup>b</sup></td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>City</td>
                <td>2513 (49.6)</td>
                <td>949 (59.2)</td>
                <td>51 (66.2)</td>
                <td>71 (50)</td>
                <td>494 (60.6)</td>
                <td>333 (58.5)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Town and county</td>
                <td>2550 (50.4)</td>
                <td>654 (40.8)</td>
                <td>26 (33.8)</td>
                <td>71 (50)</td>
                <td>321 (39.4)</td>
                <td>236 (41.5)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td colspan="9">
                  <bold>Ethnicity</bold>
                </td>
                <td colspan="2">1.0</td>
                <td colspan="2">1</td>
                <td>.31</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Han</td>
                <td>4543 (89.7)</td>
                <td>1424 (88.8)</td>
                <td>74 (96.1)</td>
                <td>119 (83.8)</td>
                <td>728 (89.3)</td>
                <td>503 (88.4)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Others</td>
                <td>520 (10.3)</td>
                <td>179 (11.2)</td>
                <td>3 (3.9)</td>
                <td>23 (16.2)</td>
                <td>87 (10.7)</td>
                <td>66 (11.6)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td colspan="9">
                  <bold>Family type</bold>
                </td>
                <td colspan="2">17.2</td>
                <td colspan="2">2</td>
                <td>&#60;.001<sup>b</sup></td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Nuclear family</td>
                <td>3311 (65.4)</td>
                <td>1005 (62.7)</td>
                <td>42 (54.5)</td>
                <td>86 (60.6)</td>
                <td>502 (61.6)</td>
                <td>375 (65.9)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Above 3 generation</td>
                <td>951 (18.8)</td>
                <td>274 (17.1)</td>
                <td>12 (15.6)</td>
                <td>26 (18.3)</td>
                <td>143 (17.5)</td>
                <td>93 (16.3)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Others</td>
                <td>801 (15.8)</td>
                <td>324 (20.2)</td>
                <td>23 (29.9)</td>
                <td>30 (21.1)</td>
                <td>170 (20.9)</td>
                <td>101 (17.8)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td colspan="9">
                  <bold>Current annual income (US $)</bold>
                </td>
                <td colspan="2">20.0</td>
                <td colspan="2">3</td>
                <td>&#60;.001<sup>b</sup></td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>&#60;930</td>
                <td>1659 (32.8)</td>
                <td>516 (32.2)</td>
                <td>27 (35)</td>
                <td>47 (33.1)</td>
                <td>234 (28.7)</td>
                <td>208 (36.6)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>930-2169</td>
                <td>1688 (33.3)</td>
                <td>463 (28.9)</td>
                <td>16 (20.8)</td>
                <td>33 (23.2)</td>
                <td>247 (30.3)</td>
                <td>167 (29.3)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>2170-3565</td>
                <td>763 (15.1)</td>
                <td>251 (15.6)</td>
                <td>14 (18.2)</td>
                <td>27 (19)</td>
                <td>143 (17.5)</td>
                <td>67 (11.8)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>≥3565</td>
                <td>953 (18.8)</td>
                <td>373 (23.3)</td>
                <td>20 (26)</td>
                <td>35 (24.6)</td>
                <td>191 (23.4)</td>
                <td>127 (22.3)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td colspan="9">
                  <bold>Only-child status</bold>
                </td>
                <td colspan="2">19.4</td>
                <td colspan="2">1</td>
                <td>&#60;.001<sup>b</sup></td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Yes</td>
                <td>2340 (46.2)</td>
                <td>842 (52.5)</td>
                <td>42 (54.5)</td>
                <td>72 (50.7)</td>
                <td>408 (50.1)</td>
                <td>320 (56.2)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>No</td>
                <td>2723 (53.8)</td>
                <td>761 (47.5)</td>
                <td>35 (45.5)</td>
                <td>70 (49.3)</td>
                <td>407 (49.9)</td>
                <td>249 (43.8)</td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
                <td colspan="2">
                  <break/>
                </td>
              </tr>
              <tr valign="top">
                <td colspan="2">Age (years), mean (SD)</td>
                <td>19.54 (1.72)</td>
                <td>19.57 (1.67)</td>
                <td>19.55 (1.66)</td>
                <td>19.74 (1.70)</td>
                <td>19.51 (1.63)</td>
                <td>19.63 (1.73)</td>
                <td colspan="2">–0.7<sup>d</sup></td>
                <td colspan="2">6659</td>
                <td colspan="2">.49</td>
              </tr>
              <tr valign="top">
                <td colspan="2">GAD-7<sup>e</sup>, mean (SD)</td>
                <td>6.25 (474)</td>
                <td>7.82 (5.44)</td>
                <td>8.06 (5.90)</td>
                <td>7.61 (5.30)</td>
                <td>7.93 (5.15)</td>
                <td>7.69 (5.80)</td>
                <td colspan="2">–11.2<sup>d</sup></td>
                <td colspan="2">6664</td>
                <td colspan="2">&#60;.001<sup>b</sup></td>
              </tr>
              <tr valign="top">
                <td colspan="2">PHQ-9<sup>f</sup>, mean (SD)</td>
                <td>8.06 (5.30)</td>
                <td>10.15 (6.33)</td>
                <td>10.74 (7.52)</td>
                <td>9.45 (5.42)</td>
                <td>10.16 (5.96)</td>
                <td>10.23 (6.85)</td>
                <td colspan="2">–13.1<sup>d</sup></td>
                <td colspan="2">6664</td>
                <td colspan="2">&#60;.001<sup>b</sup></td>
              </tr>
              <tr valign="top">
                <td colspan="2">PTSD-10<sup>g</sup>, mean (SD)</td>
                <td>4.88 (3.16)</td>
                <td>5.75 (3.12)</td>
                <td>5.94 (3.38)</td>
                <td>5.58 (3.20)</td>
                <td>5.91 (2.97)</td>
                <td>5.55 (3.27)</td>
                <td colspan="2">–9.7<sup>d</sup></td>
                <td colspan="2">6664</td>
                <td colspan="2">&#60;.001<sup>b</sup></td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn id="table1fn1">
              <p><sup>a</sup>Х²: used to compare differences between heterosexual and sexual minority youth groups among specified demographic variables.</p>
            </fn>
            <fn id="table1fn2">
              <p><sup>b</sup>There was a significant difference existing with <italic>P</italic>&#60;.001.</p>
            </fn>
            <fn id="table1fn3">
              <p><sup>c</sup>N/A: Not applicable.</p>
            </fn>
            <fn id="table1fn4">
              <p><sup>d</sup>T: used to compare differences between heterosexual and sexual minority youth groups among specified demographic variables.</p>
            </fn>
            <fn id="table1fn5">
              <p><sup>e</sup>GAD-7: the 7-item Generalized Anxiety Disorders Scale.</p>
            </fn>
            <fn id="table1fn6">
              <p><sup>f</sup>PHQ-9: the 9-item Patient Health Questionnaire.</p>
            </fn>
            <fn id="table1fn7">
              <p><sup>g</sup>PTSD-10: measured by the 10-item Trauma Screening Questionnaire.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>Compared to their heterosexual counterparts, more sexual minority females, and more sexual minority youths living in urban residences reported being bullied on the campuses. In addition, experiences of being bullied were more likely to occur among participants from nuclear families, with lower annual family income, or among those who had siblings. Bullied sexual minority youths also reported higher rates of anxiety, depression, and PTSD symptoms than bullied heterosexual youths.</p>
      </sec>
      <sec>
        <title>Undirected Network Structure</title>
        <p>As seen in <xref rid="figure1" ref-type="fig">Figure 1</xref>, according to the centrality index EI, GAD2 (Generalized Anxiety Disorders Scale; “control worry,” EI=1.134) had the highest EI, followed by PHQ4 (Patient Health Questionnaire; “energy,” EI=1.116), GAD3 (“worry a lot,” EI=1.085), PHQ2 (“sad mood,” EI=1.078), GAD6 (“irritability,” EI=1.077), and PTSD4 (“energy,” EI=1.015). These 6 symptoms played the most central role in the global network of anxiety, depression, and PTSD symptoms among all bullied sexual minority youths. The central network structures of the 3 sexual minority youth subgroups and their centrality index EI are shown in Table S1 and Figures S1, S2, S3, and S4 in <xref ref-type="supplementary-material" rid="app1">Multimedia Appendix 1</xref>, Additional information for networks.</p>
        <p>As seen in <xref rid="figure2" ref-type="fig">Figure 2</xref>, according to bEI, GAD6 (“irritability,” bEI=0.954), PHQ8 (“motor,” bEI=0.883), GAD7 (“feeling afraid,” bEI=0.758), GAD5 (“restless,” bEI=0.718), GAD1 (“nervous,” bEI=0.694), and PHQ2 (“sad mood,” bEI=0.635) had crucial bridging roles in connecting to the other symptoms of anxiety, depression, or PTSD, which may possibly transform from 1 community to another. The bridge network structures of the 3 sexual minority youth subgroups and their bridge bEI index are shown in Table S1 and Figures S5, S6, S7, and S8 in <xref ref-type="supplementary-material" rid="app1">Multimedia Appendix 1</xref>, Additional information for networks.</p>
        <fig id="figure1" position="float">
          <label>Figure 1</label>
          <caption>
            <p>The global network structure of central symptoms among all bullied sexual minority youths (N=1603). GAD: the 7-item Generalized Anxiety Disorders Scale; LGB: homosexuality (gay or lesbian), bisexuality and other sexual minority youths; PHQ: the 9-item Patient Health Questionnaire; PTSD: posttraumatic stress disorder measured by the 10-item Trauma Screening Questionnaire.</p>
          </caption>
          <graphic xlink:href="publichealth_v9i1e47233_fig1.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
        </fig>
        <fig id="figure2" position="float">
          <label>Figure 2</label>
          <caption>
            <p>The global network structure of bridge symptoms among all bullied sexual minority youths (N=1603). GAD: the 7-item Generalized Anxiety Disorders Scale; LGB: homosexuality (gay or lesbian), bisexuality and other sexual minority youths; PHQ: the 9-item Patient Health Questionnaire; PTSD: posttraumatic stress disorder measured by the 10-item Trauma Screening Questionnaire.</p>
          </caption>
          <graphic xlink:href="publichealth_v9i1e47233_fig2.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
        </fig>
        <p>The average predictability of nodes was 48.67%, which means that, on average, the variance of 48.67% per node could be explained by its neighbors. In addition, all networks show good stability in this study (see in Figures S9, S10, S11, and S12 in <xref ref-type="supplementary-material" rid="app1">Multimedia Appendix 1</xref>, Additional information for networks).</p>
      </sec>
      <sec>
        <title>Bayesian Network Structure</title>
        <p><xref rid="figure3" ref-type="fig">Figure 3</xref> shows the CPDAG results, indicating that PHQ1 (“anhedonia”) had the highest predictive priority for other symptoms occurring in the anxiety-depression-PTSD network. PHQ2 (“sad mood”), GAD6 (“irritability”), and GAD7 (“feeling afraid”) were identified as 3 crucial bridge symptoms, whose downstream symptoms had more branches and could activate more pathways. In addition, there were reversible connections between PHQ1 (“anhedonia”), PHQ2 (“sad mood”), and PHQ4 (“appetite”). Whereas, the edges between PHQ2 (“sad mood”) and PHQ6 (“guilt”), between GAD6 (“irritability”), PHQ8 (“motor”), and PTSD7 (“irritability or anger”), and between GAD7 (“feeling afraid”) to PTSD9 (“hypervigilance”) were unidirectional and irreversible. These results indicate the most likely direction from both depression and anxiety symptoms to PTSD symptoms, rather than vice versa. More results of CPDAG can be found in Figure S13 in <xref ref-type="supplementary-material" rid="app1">Multimedia Appendix 1</xref>, Additional information for networks.</p>
        <fig id="figure3" position="float">
          <label>Figure 3</label>
          <caption>
            <p>The Bayesian network of anxiety, depression, and posttraumatic stress disorder among bullied sexual minority youths, based on a completed partially directed acyclic graph. GAD: the 7-item Generalized Anxiety Disorders Scale; PHQ; the 9-item Patient Health Questionnaire; PTSD: posttraumatic stress disorder measured by the 10-item Trauma Screening Questionnaire. The edges without directions refer to reversiblity. The solid edges with direction refer to irreversiblity. The dotted edges with direction refer to irreversibility and arrowing to a node in another symptom community.</p>
          </caption>
          <graphic xlink:href="publichealth_v9i1e47233_fig3.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
        </fig>
      </sec>
      <sec>
        <title>Network Comparison Structures</title>
        <p><xref rid="figure4" ref-type="fig">Figure 4</xref> shows the results when comparing the network structures between the sexual minority youths and heterosexual groups. The edge of PTSD8 (“difficulty concentrating”)-PHQ5 (“appetite”) was significantly stronger in the sexual minority youth network structure than in the heterosexual.</p>
        <p>Among the 3 subgroups of sexual minority youths, there was no significant difference in edges between the gay or lesbian network and the other sexual minority youth networks. However, the edge of PHQ2 (“sad mood”)-PHQ5 (“appetite”) was strongest in the gay or lesbian network and the edge of PTSD7 (“irritability”)-PTSD10 (“exaggerated startle response”) was strongest in the bisexual sexual minority youth networks (Figure S14 in <xref ref-type="supplementary-material" rid="app1">Multimedia Appendix 1</xref>, Additional information for networks).</p>
        <fig id="figure4" position="float">
          <label>Figure 4</label>
          <caption>
            <p>The comparison of network structure between sexual minority and heterosexual youths. GAD: the 7-item Generalized Anxiety Disorders Scale; PHQ: the 9-item Patient Health Questionnaire; PTSD: posttraumatic stress disorder measured by the 10-item Trauma Screening Questionnaire.</p>
          </caption>
          <graphic xlink:href="publichealth_v9i1e47233_fig4.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
        </fig>
      </sec>
    </sec>
    <sec sec-type="discussion">
      <title>Discussion</title>
      <sec>
        <title>Principal Findings</title>
        <p>This is the first study based on a large-scale sample to investigate the symptomatic relationship of anxiety, depression, and PTSD among sexual minority youths bullied on college campuses in the past. The results partly supported hypothesis 1: sad mood and irritability were identified as the most frequently crucial activating symptoms of poor mental health, where emotional cue reactivity was the most central symptom of the PTSD community. In the Bayesian network, anhedonia had the highest predictive priority to activate the occurrence of all other symptoms; feeling afraid played a bridging role in the anxiety-depression-PTSD network. The results supported hypothesis 2: compared to heterosexuals, sexual minority youths exhibited a stronger association between difficulty concentrating and appetite. The “sad mood-appetite” edge was strongest in the gay or lesbian network, and the “irritability-exaggerated startle response” edge was strongest in the bisexual network.</p>
        <p>Sexual minority youths has been frequently reported to experience discrimination, prejudice, and stigma-bias because of their sexual orientation [<xref ref-type="bibr" rid="ref6">6</xref>,<xref ref-type="bibr" rid="ref51">51</xref>], associated with bullying victimization of sexual minority youths [<xref ref-type="bibr" rid="ref52">52</xref>,<xref ref-type="bibr" rid="ref53">53</xref>]. Our study further reported a high prevalence of being bullied on college campuses among sexual minority youths, which was 13.3% (95% CI 12.5%-13.7%, n=1603). Consistent with previous findings, exposure to bullying on college campuses was found to be related to the onset of mental health problems among sexual minority youths [<xref ref-type="bibr" rid="ref53">53</xref>]. As a meta-analysis supported, individuals who experience bullying victimization had increased odds of depression, anxiety, and PTSD [<xref ref-type="bibr" rid="ref54">54</xref>].</p>
        <p>Sad mood and irritability were the most crucial symptoms (both central and bridge) in all anxiety-depression-PTSD network models. Previous network analyses have consistently identified sad mood as the central and bridge symptom in the structure of the anxiety-depression network [<xref ref-type="bibr" rid="ref36">36</xref>,<xref ref-type="bibr" rid="ref55">55</xref>]. This result may be explained by the external stressors that sexual minority youths face, making them feel sad [<xref ref-type="bibr" rid="ref51">51</xref>,<xref ref-type="bibr" rid="ref56">56</xref>]. According to a US national survey on youths’ risk behavior, high rates of in-school bullying victimization for homosexuals (28.22%, n=91) and bisexuals (34.03%, n=318) occurred because of external discrimination [<xref ref-type="bibr" rid="ref7">7</xref>]. When under stressful conditions, if those bullied students experience insufficient support from teachers, they could feel abandoned and hopeless [<xref ref-type="bibr" rid="ref57">57</xref>]. In terms of irritability, 2 prior studies also noted that irritability had a high betweenness index (another bridge centrality index) [<xref ref-type="bibr" rid="ref34">34</xref>], and was identified as one of the central symptoms in the depression-anxiety-PTSD network [<xref ref-type="bibr" rid="ref58">58</xref>]. Research has indicated that, once bullied, an inability to find a coping strategy or resist bullying behaviors can make individuals feel frustrated, which may trap them in rumination anger [<xref ref-type="bibr" rid="ref9">9</xref>]. Moreover, traumatic memories of bullying victimization could generate severe distress and irritability as well [<xref ref-type="bibr" rid="ref59">59</xref>]. Our results showed irritability also had a high predictive priority of the occurrence of PTSD symptoms. Findings indicate that for those who do withstand cumulative bullying victimization, their subjective aggression can be triggered, potentially increasing their irritable mood and PTSD symptoms simultaneously [<xref ref-type="bibr" rid="ref60">60</xref>]. Notably, emotional cue reactivity (in this study referring to feeling upset by reminders of the events) was the most central symptom in the PTSD network. This may be explained by the influences of autobiographical memories (a mixed memory of complicated life events) [<xref ref-type="bibr" rid="ref61">61</xref>]. Experiences of being bullied incur negative emotional cues, such as insults and physical aggression [<xref ref-type="bibr" rid="ref62">62</xref>], and these negative memories would, in turn, cause further distress.</p>
        <p>In the Bayesian network, anhedonia had the highest predictive priority of activating other symptoms. It parallels a previous network analysis that identified anhedonia as a central symptom in the anxiety-depression network [<xref ref-type="bibr" rid="ref36">36</xref>]. Previous findings reported that bullying behaviors could lead to poorer mental health for bullying victims [<xref ref-type="bibr" rid="ref63">63</xref>]. After being bullied, sexual minority youths may form a negative schema about an institution, which influences their interaction with others, decreasing their interest in participating in activities with their peers [<xref ref-type="bibr" rid="ref64">64</xref>]. Another possible explanation could be a lack of support from teachers and families after exposure to being bullied, which further hinders sexual minority youths’ mental health [<xref ref-type="bibr" rid="ref65">65</xref>] and also makes it harder for them to perceive pleasure [<xref ref-type="bibr" rid="ref66">66</xref>]. Additionally, being bullied may negatively influence the release of dopamine, a chemical produced by neuronal receptors that relate to feeling good, in the case of bullying, this causes a lack of pleasure [<xref ref-type="bibr" rid="ref67">67</xref>]. Feeling afraid also played a significant bridging role in the Bayesian network, pointing to the occurrence of hypervigilance in the PTSD community. On the one hand, past bullying victimization could lead sexual minority youths to be afraid of reoccurring bullying [<xref ref-type="bibr" rid="ref68">68</xref>]; on the other hand, without efficient support from others, exposing perpetrators of bullying could trigger their fear of retaliation [<xref ref-type="bibr" rid="ref69">69</xref>]. In addition, feeling afraid is linked to the symptoms of PTSD in this study. As early findings stated, those bullied could incur idiopathic nightmares and sleep problems, leading to hypervigilance [<xref ref-type="bibr" rid="ref70">70</xref>]. From the neuropsychological perspective, fear-related threats increase the steady-state visual evoked amplitudes, thus heightening individuals’ vigilance [<xref ref-type="bibr" rid="ref71">71</xref>]. Based on this fear of repeated bullying, sexual minority youths’ visual attention to possible danger may present with over-heightened reactions.</p>
        <p>Compared to the heterosexual network structure, difficulty concentrating was found to be more closely associated with appetite in the sexual minority youth network structure. As previous findings stated, sexual minority youths were more vulnerable to weight-based bullying by peers than heterosexual youths [<xref ref-type="bibr" rid="ref72">72</xref>,<xref ref-type="bibr" rid="ref73">73</xref>]. Moreover, a motivation to avoid or prevent bullying may be a key driver for those who seek treatment for obesity [<xref ref-type="bibr" rid="ref74">74</xref>]. Thus, the ideal body image and weight bias may result in more sexual minority youths choosing to diet in order to lose weight or engage in harmful weight-control strategies, such as purging, to maintain a satisfactory appearance [<xref ref-type="bibr" rid="ref75">75</xref>]. It should be noted that over-preoccupation with body shape might impair concentration in other areas, supported by a previous study in which those who experienced bullying reported that they perceived their attention was distracted due to the fear associated with the experience, which led to difficulty concentrating when learning and during academic achievement, further hindering their state of mental well-being [<xref ref-type="bibr" rid="ref76">76</xref>].</p>
        <p>Differently, compared to bullied bisexual youths, sad mood had a stronger correlation with appetite among bullied gay or lesbian youths. Researchers consistently report more disordered eating behaviors in gay or lesbian youths than in bisexuals [<xref ref-type="bibr" rid="ref77">77</xref>]. In addition, gay or lesbian youths were reported to have more body dissatisfaction, driven by an ideal body shape [<xref ref-type="bibr" rid="ref78">78</xref>,<xref ref-type="bibr" rid="ref79">79</xref>]. Negative mood also relates to subjective appetite, causing poor appetite or overeating [<xref ref-type="bibr" rid="ref80">80</xref>]. Since discrimination and bullying incur a sad mood for gay or lesbian youths, they may choose binge eating to elevate their mood momentarily [<xref ref-type="bibr" rid="ref81">81</xref>]. Furthermore, compared to other sexual minority youths, bisexual youths exhibited a stronger correlation between irritability and exaggerated startle response. This may be due to bisexual youths experiencing dual discrimination from homosexual and heterosexual communities [<xref ref-type="bibr" rid="ref82">82</xref>]. Since bullying shapes a threatening context for bisexual youths, they may become irritable and exhibit a high startle reactivity [<xref ref-type="bibr" rid="ref83">83</xref>]. Meanwhile, higher irritability can alter attention bias, with decreased functional connectivity between the left inferior frontal gyrus and a periaqueductal grey area, which may increase the response to frustrating stimuli [<xref ref-type="bibr" rid="ref84">84</xref>].</p>
      </sec>
      <sec>
        <title>Limitations</title>
        <p>Several limitations should be noted in this study. First, as a cross-sectional study, it is hard to explore the dynamic process of psychopathological networks [<xref ref-type="bibr" rid="ref85">85</xref>], thus, further longitudinal research is required to obtain causal conclusions. Second, the replicability and generalizability of network structures are still limited across various samples [<xref ref-type="bibr" rid="ref86">86</xref>]. In the future, neuroimaging studies are required to explore the organic effects on the brain. Third, measurements were limited in several aspects: (1) the minority stressors, such as lacking peers or family support, were not directly measured, and the results could be biased because of other potential influences. (2) There may be a part of the youths who have hesitancy toward or concealment of being identified as sexual minority youths for fear of being exposed in the context. (3) In addition, the interaction of gender identity and sexual orientation should be considered in future investigations. For example, a transgender man attracted to a cisgender man could also consider himself gay. Further studies should be conducted covering diverse gender identities in detail. (4) Because the experience of being bullied on college campuses in the past was measured by a self-report as well, in which the standard to determine the conceptualization of bullying varies across individuals, it was inevitable to include samples with different severities of bullying victimization. Future research should provide more detailed standards to define bullying and explore the underlying mechanism between various types or levels of bullying behaviors and the impact this has on the mental health of sexual minority populations. Bullying off-campus perpetrated by peers should be measured, and its impacts must be explored. (5) The bias of recall errors or social desirability effects is unavoidable for data from subjective reporting scales. Finally, other psychiatric disorders, such as obsessive-compulsive disorder or eating disorders, were not measured directly, which may affect the results.</p>
      </sec>
      <sec>
        <title>Conclusions</title>
        <p>This cross-sectional study based on a large-scale sample, combined the undirected network analysis and Bayesian network analysis, for the first time, identifying the most central and bridge symptoms (sad mood and irritability), as well as the central role of emotional cue reactivity within the depression-anxiety-PTSD network of sexual minority youths who were bullied on college campuses in the past. CPDAG results also indicated the vital roles of anhedonia and feeling afraid in the global Bayesian network in this study. In addition, the comparisons of networks supported three findings: (1) compared to heterosexuals, the edge of “difficulty concentrating” was stronger than in the global sexual minority youth network, (2) the edge of “sad mood-appetite” was strongest in the gay or lesbian network, and (3) the edge of “irritability-exaggerated startle response” was strongest in the bisexual network. These findings should be considered when offering targeted support for improving the physical health and mental well-being of sexual minority youths. Consequently, refined targeted interventions could be formulated [<xref ref-type="bibr" rid="ref6">6</xref>] to relieve the symptoms of anxiety, depression, and PTSD comorbidity among sexual minority youths.</p>
      </sec>
    </sec>
  </body>
  <back>
    <app-group>
      <supplementary-material id="app1">
        <label>Multimedia Appendix 1</label>
        <p>Additional information for networks.</p>
        <media xlink:href="publichealth_v9i1e47233_app1.docx" xlink:title="DOCX File , 7006 KB"/>
      </supplementary-material>
    </app-group>
    <glossary>
      <title>Abbreviations</title>
      <def-list>
        <def-item>
          <term id="abb1">bEI</term>
          <def>
            <p>bridge expected influence</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb2">CPDAG</term>
          <def>
            <p>completed partially directed acyclic graph</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb3">EI</term>
          <def>
            <p>expected influence</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb4">GAD</term>
          <def>
            <p>Generalized Anxiety Disorder Scale</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb5">PHQ</term>
          <def>
            <p>Patient Health Questionnaire</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb6">PTSD</term>
          <def>
            <p>posttraumatic stress disorder</p>
          </def>
        </def-item>
      </def-list>
    </glossary>
    <ack>
      <p>The conception and design of this study was done by YW and SX. SX and XS did the data collection. Data quality control was done by SX. Data analysis and all figures were done by YJ, CC, XLuo, YL, and XLing. This study’s write-up was performed by JL, YJ, and SX. Critical comments were made by YW and AW. This study was supervised by YW and SX. We thank all the participants and staff involved in this study. This study was supported by the National Natural Science Foundation of China (82201708).</p>
    </ack>
    <notes>
      <sec>
        <title>Data Availability</title>
        <p>The data set for this speciﬁc paper is available from the corresponding author upon reasonable request.</p>
      </sec>
    </notes>
    <fn-group>
      <fn fn-type="conflict">
        <p>None declared.</p>
      </fn>
    </fn-group>
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