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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Public Health</journal-id>
<journal-title>Frontiers in Public Health</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Public Health</abbrev-journal-title>
<issn pub-type="epub">2296-2565</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpubh.2023.1235262</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Public Health</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Statistical analysis of mental influencing factors for anxiety and depression of rural and urban freshmen</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Li</surname> <given-names>Chang</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2022484/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Sun</surname> <given-names>Bingchuan</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>College of Insurance, Shandong University of Finance and Economics</institution>, <addr-line>Jinan</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>College of Physical Education, Shandong University of Finance and Economics</institution>, <addr-line>Jinan</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Wulf R&#x000F6;ssler, Charit&#x000E9; University Medicine Berlin, Germany</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Xinqiao Liu, Tianjin University, China</p>
<p>Vince Hooper, Prince Mohammad bin Fahd University, Saudi Arabia</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Chang Li <email>20207809&#x00040;sdufe.edu.cn</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>22</day>
<month>12</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1235262</elocation-id>
<history>
<date date-type="received">
<day>06</day>
<month>06</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>05</day>
<month>12</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2023 Li and Sun.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Li and Sun</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<p>The freshmen stage is a high incidence period for psychological issues. With the increasing gap between urban and rural areas in China, the mental problems of rural freshmen are more prominent in recent years due to the huge contrast of campus life with their growth environment and other reasons. The concern for the mental well-being of both rural and urban freshman students prompted our comprehensive five-year study (2018&#x02013;2022) on psychological issues in a group of 12,564 first-year students from dozens of public universities in Shandong province. The investigation employed PPS (probability proportional to size) sampling and was conducted near the the end of the first semester. Using the data gathered, we analyzed and compared the indicators of psychological problems in rural and urban freshmen by Duncan&#x00027;s Multiple Range Test. We also conducted a canonical correlation analysis and pathway analysis to examine the psychological factors that contribute to anxiety and depression in both rural and urban freshmen. According to the findings, rural freshmen exhibit significantly higher levels of anxiety and depression than their urban counterparts. Inferiority, obsession, and internet addiction were identified as the primary influencing factors of anxiety and depression in both rural and urban freshmen. Social phobia was found to be a significant influencing factor for anxiety in rural freshmen, while bigotry was identified as a specific influencing factor for urban freshmen. Furthermore, the results of the path analysis suggest that anxiety plays a crucial role as a mediating factor between the main influencing factors and depression. These results substantially extend former research in this area and have important implications for the development of effective intervention strategies to address anxiety and depression. According to these results, policymakers should assess and intervene of anxiety and depression as a whole, and provide mental health education according to main effect factors of freshmen from rural and urban areas. Detailed policy recommendations are in discussion and conclusion.</p></abstract>
<kwd-group>
<kwd>PPS investigation</kwd>
<kwd>anxiety</kwd>
<kwd>depression</kwd>
<kwd>canonical correlation analysis</kwd>
<kwd>path analysis</kwd>
<kwd>education</kwd>
</kwd-group>
<counts>
<fig-count count="8"/>
<table-count count="8"/>
<equation-count count="3"/>
<ref-count count="40"/>
<page-count count="13"/>
<word-count count="5963"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Public Mental Health</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1 Introduction</title>
<p>Previous research has highlighted a high prevalence of mental health problems, specifically depression and anxiety, among undergraduate students (<xref ref-type="bibr" rid="B1">1</xref>&#x02013;<xref ref-type="bibr" rid="B5">5</xref>). Adlaf et al. (<xref ref-type="bibr" rid="B6">6</xref>) pointed out for college students, there is a prominent inverse relationship between year of study and mental health. Lee et al. (<xref ref-type="bibr" rid="B7">7</xref>) studied stress, anxiety, and depression symptoms for students in a public research university in Kentucky during an early phase of COVID-19, and found rural, low-income, and academically underperforming students were more vulnerable to these mental health issues. Amir Hamzah et al. (<xref ref-type="bibr" rid="B8">8</xref>) studied the prevalence and related factors of depression and anxiety of freshmen in a learning institution in Malaysia, and found students lived with non-family members were more likely to have depression and anxiety.</p>
<p>Some recent research about the anxiety and depression include: Liu et al. (<xref ref-type="bibr" rid="B9">9</xref>) investigated the longitudinal relationship between anxiety and self-esteem among college students, and confirmed self-esteem as one of the leading contributors to anxiety for college students. Liu et al. (<xref ref-type="bibr" rid="B10">10</xref>) reviewed the literature on risk factors and digital interventions for college students&#x00027; anxiety disorders from the perspectives of different stakeholders, emphasizing the important roles played by different stakeholder groups, and provides valuable references for improving the mental health of college students. Liu et al. (<xref ref-type="bibr" rid="B11">11</xref>) reviewed the extant literature by identifying non-pathological factors related to college students&#x00027; depression, investigating the methods of predicting depression, and exploring non-pharmaceutical interventions for college students&#x00027; depression.</p>
<p>In China, the urban-rural gap, such as income ratio, is one of the highest in the world, and the urbanization in recent years has widened the gap between urban and rural development (<xref ref-type="bibr" rid="B12">12</xref>&#x02013;<xref ref-type="bibr" rid="B14">14</xref>). Thus freshmen from rural area are more likely to have serious mental problems due to the huge contrast of campus life with their growth environment and other reasons (<xref ref-type="bibr" rid="B15">15</xref>&#x02013;<xref ref-type="bibr" rid="B17">17</xref>). Some typical research about mental health of rural and urban freshmen in China include: Yulong (<xref ref-type="bibr" rid="B18">18</xref>) and Zhixue (<xref ref-type="bibr" rid="B19">19</xref>) conducted comparative analysis for the mental health of undergraduate students from rural and urban areas, and found the psychological health level of rural freshmen is much lower than and urban freshmen. Yuemin (<xref ref-type="bibr" rid="B15">15</xref>) and Zhang (<xref ref-type="bibr" rid="B20">20</xref>) investigated and analyzed the mental health of college freshmen, and found the psychological problems of rural freshmen are more serious than urban freshmen. Other related research include: Wang and Wang (<xref ref-type="bibr" rid="B21">21</xref>) and Wenting and Zhiqiang (<xref ref-type="bibr" rid="B22">22</xref>), etc.</p>
<p>Previous research has established significant theoretical and practical foundations for studying the mental health issues of freshmen. Nonetheless, previous studies have rarely conducted comprehensive investigations into the mental health problems of freshmen from both rural and urban areas in specific provinces in China, nor have they conducted systematic statistical analyses of the factors influencing anxiety and depression among freshmen.</p>
<p>In this research, we took sampling investigation and statistical analysis for mental problems of totally 12,564 freshmen in dozens of public universities in Shandong province over the past 5 years (2018&#x02013;2022). Based on these data, we analyzed the mental influencing factors of depression and anxiety for rural and urban freshmen separately by canonical correlation analysis and path analysis. Our findings have significant implications for the development of practical intervention strategies and the promotion of mental health among college students.</p>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>2 Materials and methods</title>
<p>SAS 9.4, R 4.1.2 and Mplus 7 were used for data analysis. The computer code used are available upon request.</p>
<sec>
<title>2.1 Design of investigation</title>
<p>In each of the past 5 years, we have taken PPS (probability proportional to the population size sampling) investigations to freshmen in dozens of public universities in Shandong province near the end of their first semester (usually between late November through early December). The main reason that we choose this investigation period is: the freshmen in China usually have military training in the first month of their first semester, and they need a few month to adapt to college life. On the other hand, the final exams in China usually begin at the end of December or early January, thus the mental status of freshmen is relatively stable in our investigation time period.</p>
<p>The minimum sample size <italic>N</italic> for each year is determined by Ross (<xref ref-type="bibr" rid="B23">23</xref>) and Wackerly et al. (<xref ref-type="bibr" rid="B24">24</xref>):</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msubsup><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:mi>p</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>p</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Under 95% confidence level (thus <inline-formula><mml:math id="M2"><mml:msubsup><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>96</mml:mn></mml:math></inline-formula>), we set <italic>p</italic> &#x0003D; 0.5 (the most conservative method), error rate E = 2%, and get <italic>N</italic> = 2,401. Thus in each year, around 3,000 students were chosen. The participants were chosen randomly by probability sampling, and investigations were sent to them by Enterprise WeChat. Each university&#x00027;s sample size is proportional to the freshmen enrolled in.</p>
<p>The main scale of the investigation is the mental health screening scale for Chinese college students In addition to the demographic characteristics of the participants, the scale includes 22 indicators related to mental problems: anxiety, depression, bigotry, inferiority, sensitive, social phobia, somatization, dependency, hostile attack, impulsion, obsession, internet addiction, self injurious behavior, eating problems, sleep disturbance, university adaptation difficulties, interpersonal troubles, academic pressure, employment pressure, trouble in courtship, suicidal intent, hallucinations, and delusions. The participants&#x00027; demographic characteristics and descriptive statistics for mental problems indicators are in Section 3.1. Each indicator&#x00027;s score is represented by the index standard score (Z-score), which correlates with the level of severity of the mental issue. Fang et al. (<xref ref-type="bibr" rid="B25">25</xref>) have introduced the development of this scale and confirmed the reliability and the validity of the scale all reached the criterions of psychological assessment.</p>
<p>Before commencing the questionnaire, the participants provided written informed consent online. The research procedures adhered to the American Association for Public Opinion Research (AAPOR) reporting guidelines and were approved by the Research Ethics Committee at Shandong University of Finance and Economics in China.</p>
</sec>
<sec>
<title>2.2 Comparison of mental problems of freshmen from urban and rural areas</title>
<p>We use Duncan&#x00027;s multiple range test to conduct comparison of anxiety, depression, and other important indicators of mental problems of freshmen from urban and rural areas. Due to the limited space, we only show the contrast of anxiety and depression in Section 3.2. The comparison of other indicators of mental problems are available upon request.</p>
<p>The contrast of anxiety and depression of for rural and urban freshmen is in <bold>Tables 3</bold>, <bold>4</bold>. The results show the means of anxiety and depression of rural freshmen are significantly higher than that of urban freshmen (detailed analysis is in Section 3.2). Thus we should analyze the mental effect factors for anxiety and depression separately for rural and urban freshmen.</p>
</sec>
<sec>
<title>2.3 Statistical analysis for mental effect factors of anxiety and depression</title>
<p>Previous research suggests that anxiety and depression often comorbid, and the comorbidity of these two conditions is a relatively frequent syndrome (<xref ref-type="bibr" rid="B26">26</xref>&#x02013;<xref ref-type="bibr" rid="B29">29</xref>). Therefore, we considered anxiety and depression as a whole, and processed by canonical correlation analysis.</p>
<p>Canonical correlation analysis is a statistical technique used to explore the relationship between two sets of variables. It helps identify and measure the associations between two multivariate data sets, seeking linear combinations of variables in each set that have the highest correlation with each other.</p>
<p>The statistical analysis involved three steps: firstly, we identified the significant influencing factors of anxiety and depression separately using linear regression for rural and urban freshmen. Then, we performed canonical correlation analysis on the significant influencing factors (independent variables) and anxiety and depression (dependent variables). The core principle of canonical correlation analysis is to transform the correlation between multiple variables into the correlation between two representative variables (<xref ref-type="bibr" rid="B30">30</xref>&#x02013;<xref ref-type="bibr" rid="B33">33</xref>). In this study, we used the linear combination of anxiety and depression as one representative variable, and the linear combination of the significant influencing factors as another representative variable. The results of this analysis are presented in Section 3.3.</p>
<p>After that, based on the results of canonical correlation analysis, we conducted path analysis for the mediating effect of anxiety on the relationship between the effect factors and depression.</p>
</sec>
<sec>
<title>2.4 Path analysis</title>
<p>Since the effect factors of anxiety and depression are multiple mental index of the same population, we process path analysis with multiple independent variables (path analysis with each single independent variable are available upon request).</p>
<p>Path analysis is a statistical method for examining relationships between variables to understand how they influence one another. It helps researchers understand complex causal relationships by analyzing direct and indirect effects among variables. The principle, models and methods of path analysis with multiple independent variables are introduced in Chapter 10 of (<xref ref-type="bibr" rid="B34">34</xref>), Chapter 9 of (<xref ref-type="bibr" rid="B35">35</xref>). Based these models and methods, we construct the path analysis on below.</p>
<p>By the results in canonical correlation analysis in Section 3.3, for rural freshmen, the top 4 influencing factors for anxiety and depression are inferiority, obsession, somatization, and social phobia. For urban freshmen, the top 4 effect factors are inferiority, obsession, somatization, and bigotry. In path analysis, we take the top 4 effect factors for anxiety and depression in canonical correlation analysis and internet addiction as independent variables. Internet addiction is added in path analysis because the effect of internet addiction on anxiety and depression in recent years have attracted widespread concern in previous research (<xref ref-type="bibr" rid="B36">36</xref>&#x02013;<xref ref-type="bibr" rid="B38">38</xref>), etc.</p>
<p>The mediation effect of anxiety on the relationship between the effect factors and depression is studied in several previous works, such as Cummings et al. (<xref ref-type="bibr" rid="B29">29</xref>), Moscovitch et al. (<xref ref-type="bibr" rid="B39">39</xref>), Nima et al. (<xref ref-type="bibr" rid="B40">40</xref>), etc. For example, Moscovitch et al. (<xref ref-type="bibr" rid="B39">39</xref>) pointed out that the intervention reduced anxiety was responsible for 91% of the reduction in depression. Nima et al. (<xref ref-type="bibr" rid="B40">40</xref>) studied mediation effect of anxiety on the relationship between stress, self-esteem and depression. In the path analysis, for both urban and rural freshmen, we take depression as the dependent variable, and anxiety as the mediating variable. The results are in Section 3.4.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<p>All original program results are in figures for reference.</p>
<sec>
<title>3.1 Descriptive statistics for the investigation</title>
<p>In this investigation, only questionnaires with all questions related to demographic characteristics and mental problems answered are considered as valid questionnaires. The basic sociodemographic characteristics of the participants, such as year of investigation, gender and region are in <xref ref-type="table" rid="T1">Table 1</xref>. In this table, total is the total number of valid questionnaires collected in each year.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Sociodemographic characteristics of the participants.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Year</bold></th>
<th valign="top" align="center"><bold>Total</bold></th>
<th valign="top" align="center"><bold>Male</bold></th>
<th valign="top" align="center"><bold>Female</bold></th>
<th valign="top" align="center"><bold>Rural area</bold></th>
<th valign="top" align="center"><bold>Urban area</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Year 2018</td>
<td valign="top" align="center">2,502</td>
<td valign="top" align="center">1,185</td>
<td valign="top" align="center">1,317</td>
<td valign="top" align="center">1,006</td>
<td valign="top" align="center">1,496</td>
</tr>
<tr>
<td valign="top" align="left">Year 2019</td>
<td valign="top" align="center">2,455</td>
<td valign="top" align="center">1,098</td>
<td valign="top" align="center">1,357</td>
<td valign="top" align="center">978</td>
<td valign="top" align="center">1,477</td>
</tr>
<tr>
<td valign="top" align="left">Year 2020</td>
<td valign="top" align="center">2,484</td>
<td valign="top" align="center">1,135</td>
<td valign="top" align="center">1,349</td>
<td valign="top" align="center">1,022</td>
<td valign="top" align="center">1,462</td>
</tr>
<tr>
<td valign="top" align="left">Year 2021</td>
<td valign="top" align="center">2,441</td>
<td valign="top" align="center">1,204</td>
<td valign="top" align="center">1,237</td>
<td valign="top" align="center">967</td>
<td valign="top" align="center">1,474</td>
</tr>
<tr>
<td valign="top" align="left">Year 2022</td>
<td valign="top" align="center">2,682</td>
<td valign="top" align="center">1,286</td>
<td valign="top" align="center">1,396</td>
<td valign="top" align="center">1,078</td>
<td valign="top" align="center">1,604</td>
</tr></tbody>
</table>
</table-wrap>
<p>Totally 1,325 rural freshmen and 1,380 urban freshmen are detected with mental problems. By <xref ref-type="table" rid="T1">Table 1</xref>, the total valid questionnaires from rural and urban freshmen are 5,051 and 7,513 respectively, thus the proportion of mental problems of rural freshmen is much higher than that of urban freshmen. The descriptive statistics of main indicators is in <xref ref-type="table" rid="T2">Table 2</xref>. The descriptive statistics for all indicators is in <xref ref-type="fig" rid="F1">Figure 1</xref> in program results.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Descriptive statistics for main indicators of rural and urban freshmen.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="center"><bold>Rural</bold></th>
<th valign="top" align="center"><bold>Rural</bold></th>
<th valign="top" align="center"><bold>Urban</bold></th>
<th valign="top" align="center"><bold>Urban</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td valign="top" align="left"><bold>Indicator</bold></td>
<td valign="top" align="center"><bold>Mean</bold></td>
<td valign="top" align="center"><bold>Standard deviation</bold></td>
<td valign="top" align="center"><bold>Mean</bold></td>
<td valign="top" align="center"><bold>Standard deviation</bold></td>
</tr>
<tr>
<td valign="top" align="left">Anxiety</td>
<td valign="top" align="center">1.173</td>
<td valign="top" align="center">1.075</td>
<td valign="top" align="center">1.075</td>
<td valign="top" align="center">1.014</td>
</tr>
<tr>
<td valign="top" align="left">Depression</td>
<td valign="top" align="center">1.208</td>
<td valign="top" align="center">1.049</td>
<td valign="top" align="center">1.046</td>
<td valign="top" align="center">0.990</td>
</tr>
<tr>
<td valign="top" align="left">Inferiority</td>
<td valign="top" align="center">1.197</td>
<td valign="top" align="center">1.040</td>
<td valign="top" align="center">1.001</td>
<td valign="top" align="center">1.038</td>
</tr>
<tr>
<td valign="top" align="left">Obsession</td>
<td valign="top" align="center">0.868</td>
<td valign="top" align="center">0.984</td>
<td valign="top" align="center">0.777</td>
<td valign="top" align="center">0.906</td>
</tr>
<tr>
<td valign="top" align="left">Somatization</td>
<td valign="top" align="center">1.059</td>
<td valign="top" align="center">1.297</td>
<td valign="top" align="center">1.026</td>
<td valign="top" align="center">1.251</td>
</tr>
<tr>
<td valign="top" align="left">Internet addiction</td>
<td valign="top" align="center">0.818</td>
<td valign="top" align="center">0.950</td>
<td valign="top" align="center">0.712</td>
<td valign="top" align="center">0.885</td>
</tr></tbody>
</table>
</table-wrap>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>The descriptive statistics for psychological problems in freshmen coming from rural and urban area. <bold>(A)</bold> Descriptive statistics for mental problems of rural freshmen. <bold>(B)</bold> Descriptive statistics for mental problems of urban freshmen.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-11-1235262-g0001.tif"/>
</fig>
</sec>
<sec>
<title>3.2 Contrast of anxiety and depression for rural and urban freshmen</title>
<p>The contrast of anxiety of for rural and urban freshmen is in <xref ref-type="table" rid="T3">Tables 3</xref>, <xref ref-type="table" rid="T4">4</xref>, and the original program results are in <xref ref-type="fig" rid="F2">Figure 2</xref>. In Duncan&#x00027;s multiple range test, means with different letters are significantly different.</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Comparison of anxiety for urban and rural freshmen.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Duncan grouping</bold></th>
<th valign="top" align="center"><bold>Mean</bold></th>
<th valign="top" align="center"><bold>N</bold></th>
<th valign="top" align="center"><bold>Hometown</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">A</td>
<td valign="top" align="center">1.17294</td>
<td valign="top" align="center">1,325</td>
<td valign="top" align="center">Rural area</td>
</tr>
<tr>
<td valign="top" align="left">B</td>
<td valign="top" align="center">1.07554</td>
<td valign="top" align="center">1,380</td>
<td valign="top" align="center">Urban area</td>
</tr></tbody>
</table>
</table-wrap>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Comparison of depression for urban and rural freshmen.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Duncan grouping</bold></th>
<th valign="top" align="center"><bold>Mean</bold></th>
<th valign="top" align="center"><bold>N</bold></th>
<th valign="top" align="center"><bold>Hometown</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">A</td>
<td valign="top" align="center">1.20854</td>
<td valign="top" align="center">1,325</td>
<td valign="top" align="center">Rural area</td>
</tr>
<tr>
<td valign="top" align="left">B</td>
<td valign="top" align="center">1.04588</td>
<td valign="top" align="center">1,380</td>
<td valign="top" align="center">Urban area</td>
</tr></tbody>
</table>
</table-wrap>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Comparison of anxiety and depression for urban and rural freshmen. <bold>(A)</bold> <italic>P</italic> value of anxiety comparison. <bold>(B)</bold> Means of anxiety. <bold>(C)</bold> <italic>P</italic> value of depression comparison. <bold>(D)</bold> Means of depression.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-11-1235262-g0002.tif"/>
</fig>
<p>From the results in <xref ref-type="fig" rid="F2">Figures 2A</xref>, <xref ref-type="fig" rid="F2">B</xref>, the <italic>P</italic> value for comparison of anxiety of rural and urban freshmen is 0.0154. From <xref ref-type="table" rid="T3">Table 3</xref>, the mean of anxiety for rural freshmen is 1.17294, and marked as A. The mean of anxiety for urban freshmen is 1.07554, and marked as B. From the results in <xref ref-type="fig" rid="F2">Figure 2C</xref>, the <italic>P</italic> value for comparison of depression of rural and urban freshmen &#x0003C; 0.0001. From <xref ref-type="table" rid="T3">Table 3</xref>, the mean of depression for rural freshmen is 1.20854, and marked as A. The mean of depression for urban freshmen is 1.04588, and marked as B. These results shows the means of anxiety and depression of rural freshmen are significantly higher than that of urban freshmen.</p>
</sec>
<sec>
<title>3.3 The results for linear regression and canonical correlation analysis</title>
<p>To obtain the significant influencing factors for anxiety and depression of rural and urban freshmen, we take linear regression with stepwise selection separately for them. The results are in <xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F4">4</xref>. Based on the significant effect factors (effect factors with <italic>P</italic> value &#x0003C; 0.05) in the results, the canonical correlation analysis is processed, and the results for rural and urban freshmen are in <xref ref-type="fig" rid="F5">Figures 5</xref>, <xref ref-type="fig" rid="F6">6</xref>.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>The effect factors for anxiety and depression for rural freshmen. <bold>(A)</bold> Anxiety. <bold>(B)</bold> Depression.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-11-1235262-g0003.tif"/>
</fig>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>The effect factors for anxiety and depression for urban freshmen. <bold>(A)</bold> Anxiety. <bold>(B)</bold> Depression.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-11-1235262-g0004.tif"/>
</fig>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>Canonical correlation analysis for anxiety and depression for rural freshmen. <bold>(A)</bold> Significance test of canonical correlation coefficient. <bold>(B)</bold> Correlation coefficient. <bold>(C)</bold> Correlation coefficient. <bold>(D)</bold> Score plane isogram.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-11-1235262-g0005.tif"/>
</fig>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>Canonical correlation analysis for anxiety and depression for urban freshmen. <bold>(A)</bold> Significance test of canonical correlation coefficient. <bold>(B)</bold> Correlation coefficient. <bold>(C)</bold> Score plane isogram.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-11-1235262-g0006.tif"/>
</fig>
<p><xref ref-type="fig" rid="F5">Figure 5</xref> is the results of canonical correlation analysis for rural freshmen. The correlation coefficient for the first pair of variables is 0.8705504 (in <xref ref-type="fig" rid="F5">Figure 5B</xref>), indicating a strong correlation, whereas the correlation coefficient for the second pair is 0.2305268, suggesting a relatively weak correlation. Additionally, based on the significance test for the canonical correlation coefficient in <xref ref-type="fig" rid="F5">Figure 5A</xref>, it is sufficient to analyze only the first pair of canonical variables. The coefficients of variables are summarized in <xref ref-type="table" rid="T5">Table 5</xref>.</p>
<table-wrap position="float" id="T5">
<label>Table 5</label>
<caption><p>Coefficients of variables for rural freshmen.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="center"><bold>Coefficient</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Bigotry</td>
<td valign="top" align="center">&#x02013;0.002621993</td>
</tr>
<tr>
<td valign="top" align="left">Inferiority</td>
<td valign="top" align="center">&#x02013;0.008766923</td>
</tr>
<tr>
<td valign="top" align="left">Social phobia</td>
<td valign="top" align="center">&#x02013;0.003791107</td>
</tr>
<tr>
<td valign="top" align="left">Somatization</td>
<td valign="top" align="center">&#x02013;0.005338204</td>
</tr>
<tr>
<td valign="top" align="left">Dependency</td>
<td valign="top" align="center">&#x02013;0.001490435</td>
</tr>
<tr>
<td valign="top" align="left">Hostile attack</td>
<td valign="top" align="center">&#x02013;0.002740454</td>
</tr>
<tr>
<td valign="top" align="left">Impulsion</td>
<td valign="top" align="center">&#x02013;0.002899323</td>
</tr>
<tr>
<td valign="top" align="left">Obsession</td>
<td valign="top" align="center">&#x02013;0.005517603</td>
</tr>
<tr>
<td valign="top" align="left">Internet addiction</td>
<td valign="top" align="center">&#x02013;0.002927963</td>
</tr>
<tr>
<td valign="top" align="left">Sensitive</td>
<td valign="top" align="center">&#x02013;0.002272589</td>
</tr>
<tr>
<td valign="top" align="left">Anxiety</td>
<td valign="top" align="center">&#x02013;0.01556757</td>
</tr>
<tr>
<td valign="top" align="left">Depression</td>
<td valign="top" align="center">&#x02013;0.01469614</td>
</tr></tbody>
</table>
</table-wrap>
<p>Denote the effect factors in <xref ref-type="table" rid="T5">Table 5</xref> in sequence as <italic>x</italic><sub>1</sub> through <italic>x</italic><sub>10</sub>, and anxiety and depression as <italic>y</italic><sub>1</sub> and <italic>y</italic><sub>2</sub>. The first set of canonical correlation variables is expressed by:</p>
<disp-formula id="E2"><label>(2)</label><mml:math id="M3"><mml:mrow><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mtable columnalign='left'><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mi>U</mml:mi><mml:mo>=</mml:mo><mml:mo>&#x02212;</mml:mo><mml:mn>0.002621993</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>0.008766923</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>0.003791107</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.005338204</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>0.001490435</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>5</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.002740454</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>6</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>0.002899323</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>7</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>0.005517603</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>8</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.002927963</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>9</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>0.002272589</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mn>10</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mo>&#x02212;</mml:mo><mml:mn>0.01556757</mml:mn><mml:msub><mml:mi>y</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>0.01469614</mml:mn><mml:msub><mml:mi>y</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mrow></mml:mrow></mml:math></disp-formula>
<p>Here <italic>U</italic> is the linear combination of the significant influencing factors, and <italic>V</italic> is the linear combination of anxiety and depression.</p>
<p>By Bland (<xref ref-type="bibr" rid="B31">31</xref>) and Fei (<xref ref-type="bibr" rid="B30">30</xref>), the coefficient, which is also referred to as loading, of each component denotes the importance of this component.</p>
<p>The factors that have the greatest impact on anxiety and depression for rural freshmen, listed in order of their relatively larger loadings, are <italic>x</italic><sub>2</sub>, <italic>x</italic><sub>8</sub>, <italic>x</italic><sub>4</sub>, and <italic>x</italic><sub>3</sub>, indicating that inferiority, obsession, somatization, and social phobia are the primary factors. The moderate loadings of <italic>x</italic><sub>9</sub> and <italic>x</italic><sub>7</sub> suggest that internet addiction and impulsion also play a significant role. All of these factors have a positive effect on anxiety and depression.</p>
<p>Based on the isogram of the score plane depicted in <xref ref-type="fig" rid="F5">Figure 5C</xref>, the data points are approximately aligned along a straight line. This indicates that the correlation between the first pair of canonical correlation variables can be effectively explained through the analysis, and this correlation is consistent and reliable.</p>
<p><xref ref-type="fig" rid="F6">Figure 6</xref> is the results of canonical correlation analysis for urban freshmen. The correlation coefficient for the first pair of variables is 0.8718014, indicating a strong correlation, whereas the correlation coefficient for the second pair is 0.2933360, suggesting a relatively weak correlation. Additionally, based on the significance test for the canonical correlation coefficient in <xref ref-type="fig" rid="F6">Figure 6A</xref>, it is sufficient to analyze only the first pair of canonical variables. The coefficients of variables are summarized in <xref ref-type="table" rid="T6">Table 6</xref>.</p>
<table-wrap position="float" id="T6">
<label>Table 6</label>
<caption><p>Coefficients of variables for urban freshmen.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="center"><bold>Coefficient</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Bigotry</td>
<td valign="top" align="center">&#x02013;0.0038658903</td>
</tr>
<tr>
<td valign="top" align="left">Inferiority</td>
<td valign="top" align="center">&#x02013;0.0108064212</td>
</tr>
<tr>
<td valign="top" align="left">Social phobia</td>
<td valign="top" align="center">&#x02013;0.0020312700</td>
</tr>
<tr>
<td valign="top" align="left">Somatization</td>
<td valign="top" align="center">&#x02013;0.0058192635</td>
</tr>
<tr>
<td valign="top" align="left">Dependency</td>
<td valign="top" align="center">&#x02013;0.0009807333</td>
</tr>
<tr>
<td valign="top" align="left">Impulsion</td>
<td valign="top" align="center">&#x02013;0.0025560252</td>
</tr>
<tr>
<td valign="top" align="left">Obsession</td>
<td valign="top" align="center">&#x02013;0.0065417723</td>
</tr>
<tr>
<td valign="top" align="left">Internet addiction</td>
<td valign="top" align="center">&#x02013;0.0018239820</td>
</tr>
<tr>
<td valign="top" align="left">Sensitive</td>
<td valign="top" align="center">&#x02013;0.0015560315</td>
</tr>
<tr>
<td valign="top" align="left">Anxiety</td>
<td valign="top" align="center">&#x02013;0.01499166</td>
</tr>
<tr>
<td valign="top" align="left">Depression</td>
<td valign="top" align="center">&#x02013;0.01467019</td>
</tr></tbody>
</table>
</table-wrap>
<p>Denote the effect factors in <xref ref-type="table" rid="T6">Table 6</xref> in sequence as <italic>x</italic><sub>1</sub> through <italic>x</italic><sub>9</sub>, and anxiety and depression as <italic>y</italic><sub>1</sub> and <italic>y</italic><sub>2</sub>. The expression of the first pair of canonical correlation variables is:</p>
<disp-formula id="E3"><label>(3)</label><mml:math id="M4"><mml:mrow><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mtable columnalign='left'><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mi>U</mml:mi><mml:mo>=</mml:mo><mml:mo>&#x02212;</mml:mo><mml:mn>0.0038658903</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>0.0108064212</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>0.0020312700</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.0058192635</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>0.0009807333</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>5</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.0025560252</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>6</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>0.0065417723</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>7</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>0.0018239820</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>8</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>0.0015560315</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>9</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mi>V</mml:mi><mml:mo>=</mml:mo><mml:mo>&#x02212;</mml:mo><mml:mn>0.01499166</mml:mn><mml:msub><mml:mi>y</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mn>0.01467019</mml:mn><mml:msub><mml:mi>y</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mrow></mml:mrow></mml:math></disp-formula>
<p>According to the formula, the primary impact variables for anxiety and depression for urban freshmen in sequence are inferiority (<italic>x</italic><sub>2</sub>), obsession (<italic>x</italic><sub>7</sub>), somatization (<italic>x</italic><sub>4</sub>), and bigotry (<italic>x</italic><sub>1</sub>). Impulsion (<italic>x</italic><sub>6</sub>) and social phobia (<italic>x</italic><sub>3</sub>) are moderate influencing factors.</p>
<p>Based on the isogram of the score plane depicted in <xref ref-type="fig" rid="F6">Figure 6C</xref>, the data points are approximately aligned along a straight line. This indicates that the correlation between the first pair of canonical correlation variables can be effectively explained through the analysis, and this correlation is consistent and reliable.</p>
</sec>
<sec>
<title>3.4 The results for path analysis</title>
<sec>
<title>3.4.1 Path analysis for effect factors of depression (mediated by anxiety) for rural freshmen</title>
<p>Denote anxiety and depression as <italic>Y</italic><sub>1</sub> and <italic>Y</italic><sub>2</sub>. For rural freshmen, denote inferiority, social phobia, obsession, somatization and internet addiction as <italic>X</italic><sub>1</sub>, <italic>X</italic><sub>2</sub>, <italic>X</italic><sub>3</sub>, <italic>X</italic><sub>4</sub>, <italic>X</italic><sub>5</sub>, respectively. The strength of the relationship between each effect factor and depression is measured by effect size (also known as effect value).</p>
<p>The Mplus result for path analysis for influencing factors of depression (mediated by anxiety) for rural freshmen is in <xref ref-type="fig" rid="F7">Figure 7</xref>. For this model, CFI = 0.982, TLI = 0.971, Chi-Square Test = 2,506.108, and degrees of Freedom = 11, which means the model fits well. From <italic>P</italic> values in <xref ref-type="fig" rid="F7">Figure 7</xref>, all of the direct and indirect pathes are significant on 0.01 level, and all estimates of standardized effect sizes are positive. This means anxiety has significant mediating effect on the relationship between the effect factors and depression, and all effect factors in the model have significant positive predictive effect for depression.</p>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p>Path analysis for effect factors of depression (mediated by anxiety) for rural freshmen.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-11-1235262-g0007.tif"/>
</fig>
<p>Based on the results, we we drew the path diagram on below, and conducted the effect decomposition of the effect factors of depression (mediated by anxiety) in <xref ref-type="table" rid="T7">Table 7</xref>.</p>
<table-wrap position="float" id="T7">
<label>Table 7</label>
<caption><p>Effect decomposition for the effect factors of depression for rural freshmen.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Effect</bold></th>
<th valign="top" align="center"><bold>Direct path</bold></th>
<th valign="top" align="center"><bold>Direct effect size</bold></th>
<th valign="top" align="center"><bold>Indirect path</bold></th>
<th valign="top" align="center"><bold>Indirect effect size</bold></th>
<th valign="top" align="center"><bold>Total effect size</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>X</italic><sub>1</sub> to <italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>X</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.380</td>
<td valign="top" align="center"><italic>X</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.042</td>
<td valign="top" align="center">0.422</td>
</tr>
<tr>
<td valign="top" align="left"><italic>X</italic><sub>2</sub> to <italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>X</italic><sub>2</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.122</td>
<td valign="top" align="center"><italic>X</italic><sub>2</sub>&#x02192;<italic>Y</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.019</td>
<td valign="top" align="center">0.141</td>
</tr>
<tr>
<td valign="top" align="left"><italic>X</italic><sub>3</sub> to <italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>X</italic><sub>3</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.077</td>
<td valign="top" align="center"><italic>X</italic><sub>3</sub>&#x02192;<italic>Y</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.046</td>
<td valign="top" align="center">0.123</td>
</tr>
<tr>
<td valign="top" align="left"><italic>X</italic><sub>4</sub> to <italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>X</italic><sub>4</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.157</td>
<td valign="top" align="center"><italic>X</italic><sub>4</sub>&#x02192;<italic>Y</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.035</td>
<td valign="top" align="center">0.192</td>
</tr>
<tr>
<td valign="top" align="left"><italic>X</italic><sub>5</sub> to <italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>X</italic><sub>5</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.136</td>
<td valign="top" align="center"><italic>X</italic><sub>5</sub>&#x02192;<italic>Y</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.014</td>
<td valign="top" align="center">0.150</td>
</tr></tbody>
</table>
</table-wrap>
<p>Path diagram for effect factors of depression (mediated by anxiety) for rural freshmen:</p>
<p><inline-graphic xlink:href="fpubh-11-1235262-i0001.tif"/></p>
<p>By Xiaoqun (<xref ref-type="bibr" rid="B34">34</xref>) and Hongyun (<xref ref-type="bibr" rid="B35">35</xref>), the indirect effect size of <italic>X</italic><sub><italic>i</italic></sub> to <italic>Y</italic><sub>2</sub> (<italic>i</italic> &#x0003D; 1&#x02026;5) is computed by the effect size of <italic>Y</italic><sub>1</sub> on <italic>X</italic><sub><italic>i</italic></sub> times the effect size of <italic>Y</italic><sub>2</sub> on <italic>Y</italic><sub>1</sub>. For example, the indirect effect size of <italic>X</italic><sub>1</sub> to <italic>Y</italic><sub>2</sub> is 0.285 &#x000D7; 0.147 &#x0003D; 0.042.</p>
<p>From <xref ref-type="table" rid="T7">Table 7</xref>, for rural freshmen, the effect size of inferiority (0.422) is much higher than other effect factors. The effect sizes of other effect factors in sequence are somatization (0.192), internet addiction (0.150), social phobia (0.141), and obsession (0.123).</p>
</sec>
<sec>
<title>3.4.2 Path analysis for effect factors of depression (mediated by anxiety) for urban freshmen</title>
<p>For urban freshmen, denote inferiority, bigotry, obsession, somatization, and internet addiction as <italic>X</italic><sub>1</sub>, <italic>X</italic><sub>2</sub>, <italic>X</italic><sub>3</sub>, <italic>X</italic><sub>4</sub>, and <italic>X</italic><sub>5</sub>, respectively.</p>
<p>The Mplus result for path analysis of urban freshmen is in <xref ref-type="fig" rid="F8">Figure 8</xref>. For this model, CFI = 0.991, TLI = 0.986, Chi-Square value = 2,751.772, and degrees of freedom = 11, which means the model fits well. From P values in <xref ref-type="fig" rid="F8">Figure 8</xref>, all direct and indirect pathes are significant on 0.01 level, and all estimates of standardized effect sizes are positive.</p>
<fig id="F8" position="float">
<label>Figure 8</label>
<caption><p>Path analysis for effect factors of depression (mediated by anxiety) for urban freshmen.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-11-1235262-g0008.tif"/>
</fig>
<p>Based on the results, we drew the path diagram on below, and conducted the effect decomposition of the effect factors of depression (mediated by anxiety) in <xref ref-type="table" rid="T8">Table 8</xref>.</p>
<table-wrap position="float" id="T8">
<label>Table 8</label>
<caption><p>Effect decomposition for the effect factors of depression for urban freshmen.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Effect</bold></th>
<th valign="top" align="center"><bold>Direct path</bold></th>
<th valign="top" align="center"><bold>Direct effect size</bold></th>
<th valign="top" align="center"><bold>Indirect path</bold></th>
<th valign="top" align="center"><bold>Indirect effect size</bold></th>
<th valign="top" align="center"><bold>Total</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>X</italic><sub>1</sub> to <italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>X</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.454</td>
<td valign="top" align="center"><italic>X</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.031</td>
<td valign="top" align="center">0.485</td>
</tr>
<tr>
<td valign="top" align="left"><italic>X</italic><sub>2</sub> to <italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>X</italic><sub>2</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.151</td>
<td valign="top" align="center"><italic>X</italic><sub>2</sub>&#x02192;<italic>Y</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.011</td>
<td valign="top" align="center">0.162</td>
</tr>
<tr>
<td valign="top" align="left"><italic>X</italic><sub>3</sub> to <italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>X</italic><sub>3</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.092</td>
<td valign="top" align="center"><italic>X</italic><sub>3</sub>&#x02192;<italic>Y</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.036</td>
<td valign="top" align="center">0.128</td>
</tr>
<tr>
<td valign="top" align="left"><italic>X</italic><sub>4</sub> to <italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>X</italic><sub>4</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.115</td>
<td valign="top" align="center"><italic>X</italic><sub>4</sub>&#x02192;<italic>Y</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.022</td>
<td valign="top" align="center">0.137</td>
</tr>
<tr>
<td valign="top" align="left"><italic>X</italic><sub>5</sub> to <italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center"><italic>X</italic><sub>5</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.094</td>
<td valign="top" align="center"><italic>X</italic><sub>5</sub>&#x02192;<italic>Y</italic><sub>1</sub>&#x02192;<italic>Y</italic><sub>2</sub></td>
<td valign="top" align="center">0.007</td>
<td valign="top" align="center">0.101</td>
</tr></tbody>
</table>
</table-wrap>
<p>Path diagram for effect factors of depression (mediated by anxiety) for urban freshmen:</p>
<p><inline-graphic xlink:href="fpubh-11-1235262-i0002.tif"/></p>
<p>From <xref ref-type="table" rid="T8">Table 8</xref>, for urban freshmen, the effect size of inferiority (0.485) is much higher than other effect factors. the effect sizes of other effect factors in sequence are bigotry (0.162), somatization (0.137), obsession (0.128), and internet addiction (0.101).</p>
</sec>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion and conclusion</title>
<p>From the investigation and analysis, levels of anxiety and depression of rural freshmen are significantly higher than that of urban freshmen. Inferiority, obsession, somatization, and internet addiction are the main effect factor for anxiety and depression of both rural and urban freshmen. For rural freshmen, social phobia is a noteworthy main effect factor for anxiety and depression, and for urban freshmen, bigotry is a specific main effect factor for anxiety and depression. Path analysis shows anxiety has significant mediating effect on the relationship between the main effect factors and depression. These results substantially extend former research in this area.</p>
<p>The manifestations of these factors includes many aspects. For rural freshmen, the inferiority and social phobia mainly manifest as a fear of being looked down upon, and a tendency to be less proactive in interpersonal interactions compared to urban freshmen. Jinling (<xref ref-type="bibr" rid="B17">17</xref>) and Yulong (<xref ref-type="bibr" rid="B18">18</xref>). For urban freshmen, the bigotry usually manifest as excessive sensitivity to setbacks and rejection, and overreactions in interpersonal relationships. For both rural and urban freshmen, the internet addiction mainly manifest as spending extensive hours online to escape the pressures of life (<xref ref-type="bibr" rid="B38">38</xref>).</p>
<p>These findings have important implications for designing practical intervention strategies. First, universities and policymakers should consider the establishment and enhancement of mental health support services on campuses. This includes increasing the availability of counseling centers, mental health professionals, and resources for students. Since anxiety and depression commonly occur together, mental health workers should assess and intervene of anxiety and depression as a whole. Considering the mediating effect of anxiety in the relationship between the effect factors and depression, interventions targeting anxiety management and coping skills can be beneficial. These strategies involve cognitive-behavioral therapy, mindfulness practices, and stress reduction techniques.</p>
<p>Second, for students with anxiety and depression, mental health institutions could assess markers of their inferiority, obsession, somatization and internet addiction, and then take certain measures to reduce extent of these factors. For example, for freshmen with internet addiction, interventions may include educational campaigns, counseling services, promoting alternative activities (such as sports activities), and providing family and social support.</p>
<p>Moreover, the policymakers and mental health workers should tailor intervention and education to the specific needs of rural and urban freshmen. For rural freshmen, addressing social phobia should be a main point, with interventions aimed at reducing social anxiety and enhancing social support networks. For urban freshmen, tackling bigotry should be a priority. Promoting inclusively and diversity within the university environment can be effective in reducing the impact of these factors on anxiety and depression.</p>
<p>While our research has revealed significant differences between urban and rural freshmen, we should recognize the inherent diversity and individual variations within each group. Each student&#x00027;s experience is shaped by a unique combination of personal, socioeconomic, and environmental factors. Thus it is imperative to acknowledge the nuanced nature of these disparities and take tailored interventions and support systems that consider the individuality of each student.</p>
<sec>
<title>4.1 Strengths and limitations</title>
<p>Our sampling investigation collected the data in recent 5 years, and employed PPS sampling, the investigation period and sample size is also scientifically determined. These measures ensured the strong timeliness of the investigation and the representative of the sample to the statistical population. We have also conducted comprehensive statistical analysis for mental influencing factors of anxiety and depression, as well as the mediating effect of anxiety on the relationship between the main influencing factors and depression.</p>
<p>This study also has certain limitations. First, the data was based on self-reported questionnaires, thus the information obtained may has a certain degree of subjectivity. Second, this survey mainly utilized the Mental Health Screening Scale for college students in China, which primarily targets the mental health issues of first-year college students. Some other factors contributing to anxiety and depression may not be included in this scale.</p>
</sec>
</sec>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="ethics-statement" id="s6">
<title>Ethics statement</title>
<p>Before commencing the questionnaire, the participants provided written informed consent online. The research procedures adhered to the American Association for Public Opinion Research (AAPOR) reporting guidelines and were approved by the Research Ethics Committee at Shandong University of Finance and Economics in China.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>CL wrote the manuscript. CL and BS collected the data. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This study has received support from the National Natural Science Foundation of China (NNSFC) under grant number 72274107 and major project on undergraduate teaching reform in Shandong province (grant number Z2022096).</p>
</sec>
<ack><p>The authors would like to express their gratitude to all the participants who contributed to this research.</p>
</ack>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x00027;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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