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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.2024.1502998</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>Does physical activity affect social skills and antisocial behavior? The gender and only child status differences</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Yang</surname> <given-names>Yuke</given-names></name>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Gao</surname> <given-names>Yan</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
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<contrib contrib-type="author">
<name><surname>Yi</surname> <given-names>Xiangren</given-names></name>
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</contrib>
<contrib contrib-type="author">
<name><surname>Hu</surname> <given-names>Yining</given-names></name>
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</contrib>
<contrib contrib-type="author">
<name><surname>Zhao</surname> <given-names>Liangyu</given-names></name>
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<contrib contrib-type="author">
<name><surname>Chen</surname> <given-names>Lu</given-names></name>
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<contrib contrib-type="author">
<name><surname>Sui</surname> <given-names>Wenze</given-names></name>
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<contrib contrib-type="author">
<name><surname>Zhang</surname> <given-names>Shuoqin</given-names></name>
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<contrib contrib-type="author">
<name><surname>Ma</surname> <given-names>Sen</given-names></name>
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</contrib-group>
<aff><institution>School of Physical Education, Shandong University</institution>, <addr-line>Jinan</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Stevo Popovic, University of Montenegro, Montenegro</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Bojan Masanovic, University of Montenegro, Montenegro</p>
<p>Radenko M. Matic, University of Novi Sad, Serbia</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Yan Gao <email>gaoyanluck&#x00040;sdu.edu.cn</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>18</day>
<month>11</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1502998</elocation-id>
<history>
<date date-type="received">
<day>27</day>
<month>09</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>10</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2024 Yang, Gao, Yi, Hu, Zhao, Chen, Sui, Zhang and Ma.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Yang, Gao, Yi, Hu, Zhao, Chen, Sui, Zhang and Ma</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>
<sec>
<title>Background</title>
<p>This study aims to explore the effects of physical activity on adolescents&#x00027; social skills and antisocial behavior, as well as gender and only child status differences among Chinese adolescents.</p></sec>
<sec>
<title>Methods</title>
<p>We used longitudinal data, collecting baseline data for 2021&#x02013;2022 and follow-up in 2022&#x02013;2023. A total of 3,206 students were enrolled, including 1,510 males (Age &#x000B1; SE: 13.62 &#x000B1; 1.69) and 1,696 females (Age &#x000B1; SE: 14.09 &#x000B1; 1.85), 1,339 only children (Age &#x000B1; SE: 13.76 &#x000B1; 1.95), and 1,867 non-only children (Age &#x000B1; SE: 13.95 &#x000B1; 1.66). The fixed effects model was used to identify the effects of different types of physical activity on adolescent social behavior and the heterogeneity analysis.</p></sec>
<sec>
<title>Results</title>
<p>(1) We found that skipping rope (&#x003B2; = 2.284, t = 5.76), walking (&#x003B2; = 3.495, t = 9.53), cycling (&#x003B2; = 1.271, t = 3.21), jogging (&#x003B2; = 2.614, t = 5.92), and badminton (&#x003B2; = 1.409, t = 2.96) had a positive impact on adolescents&#x00027; social skills. Tag games (&#x003B2; = &#x02212;1.615, t = &#x02212;3.83), swimming (&#x003B2; = &#x02212;2.862, t = &#x02212;4.42), dancing (&#x003B2; = &#x02212;1.11, t = &#x02212;2.29), and skiing (&#x003B2; = &#x02212;2.771, t = &#x02212;3.27) had a negative impact on adolescents&#x00027; social skills. Skipping rope (&#x003B2; = &#x02212;1.596, t = &#x02212;5.86), walking (&#x003B2; = &#x02212;1.814, t = &#x02212;7.44), cycling (&#x003B2; = &#x02212;1.066, t = &#x02212;4.07), and jogging (&#x003B2; = &#x02212;1.617, t = &#x02212;5.30) tended to reduce adolescents&#x00027; antisocial behavior. Tag games (&#x003B2; = 1.685, t = 5.54), swimming (&#x003B2; = 0.947, t = 2.06), ice skating (&#x003B2; = 1.772, t = 2.71), and skiing (&#x003B2; = 1.468, t = 2.31) tended to increase adolescents&#x00027; antisocial behavior. In addition, we found that these effects differ by gender and only child status. (2) Boys had significantly higher participation rates in activities. Only children had higher participation rates in skipping rope, baseball or softball, and volleyball, but non-only children had higher participation rates in walking, cycling, jogging, other aerobic exercises, and badminton. (3) Girls had higher social skills, but boys and only children had significantly higher rates of antisocial behavior.</p></sec>
<sec>
<title>Conclusion</title>
<p>Our results provide a novel understanding that can inform interventions and improvements in social behavior among Chinese adolescents. Stakeholders such as educators, policymakers, and health professionals can develop more tailored and effective strategies to promote positive social development among adolescents.</p></sec></abstract>
<kwd-group>
<kwd>physical activity</kwd>
<kwd>social skills</kwd>
<kwd>antisocial behavior</kwd>
<kwd>Chinese adolescents</kwd>
<kwd>fixed effects model</kwd>
<kwd>only child status</kwd>
<kwd>gender difference</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Social Science Fund of China<named-content content-type="fundref-id">10.13039/501100012456</named-content></contract-sponsor>
<counts>
<fig-count count="1"/>
<table-count count="5"/>
<equation-count count="0"/>
<ref-count count="67"/>
<page-count count="14"/>
<word-count count="10346"/>
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<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Children and Health</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1 Introduction</title>
<p>Adolescence is a uniquely transformative period in life, during which cognition, emotion, and social functions continuously evolve and gradually take shape (<xref ref-type="bibr" rid="B1">1</xref>). Adolescence, a time marked by a strong desire for acceptance by peers and a fear of social exclusion (<xref ref-type="bibr" rid="B2">2</xref>), often brings heightened social needs. Therefore, fostering social skills in adolescents is crucial for the development of healthy social networks and their overall wellbeing. However, schools present adolescents with complex social settings (<xref ref-type="bibr" rid="B3">3</xref>). These circumstances pose severe challenges to the shaping and formation of their mental health, academic performance, social skills, and societal behavior.</p>
<p>Social skills are the important abilities that students need to succeed and be happy in school, with peers, and in their daily interactions with family members (<xref ref-type="bibr" rid="B4">4</xref>). It is the positive responses that students generate in social interactions, such as cooperation, self-confidence, responsibility, empathy, self-control, and communication (<xref ref-type="bibr" rid="B5">5</xref>). These skills can prevent negative emotions and behaviors like antisocial actions and aggression (<xref ref-type="bibr" rid="B3">3</xref>). In contrast to social skills, antisocial behavior (ASB) is defined as behavior that is illegal but does not necessarily result in prosecution (<xref ref-type="bibr" rid="B6">6</xref>). ASB typically manifests as impulsivity and destructiveness (<xref ref-type="bibr" rid="B7">7</xref>), with impulsivity referring to actions that cannot be inhibited and destructiveness to deliberate harm or annoyance to others (<xref ref-type="bibr" rid="B8">8</xref>). ASB in adolescents are often linked to societal dangers such as school bullying (<xref ref-type="bibr" rid="B9">9</xref>) and criminal activities (<xref ref-type="bibr" rid="B10">10</xref>).</p>
<p>Physical activity (PA) is widely recognized as a determinative factor in promoting adolescent health, effectively reducing negative emotions in the face of stress (<xref ref-type="bibr" rid="B11">11</xref>). The UK Chief Medical Officer&#x00027;s PA guidelines suggest that all adolescents engage in at least 60 min of moderate to vigorous PA daily (<xref ref-type="bibr" rid="B12">12</xref>). Studies have confirmed the significant impact of PA on children&#x00027;s social skill levels (<xref ref-type="bibr" rid="B13">13</xref>). Different types of PA have varied effects on adolescents, with aerobic exercises improving mental health and cognitive function, strength training alleviating depressive symptoms, and team sports enhancing social skills (<xref ref-type="bibr" rid="B14">14</xref>), such as football (<xref ref-type="bibr" rid="B15">15</xref>). Activities like swimming, cycling, and sports games can improve social skills, communication, and expression in children with autism (<xref ref-type="bibr" rid="B16">16</xref>, <xref ref-type="bibr" rid="B17">17</xref>). However, some scholars have reported that while PA interventions have a significant positive effect on the social outcomes of at-risk adolescents, there is a high risk of bias in these studies (<xref ref-type="bibr" rid="B18">18</xref>). To our knowledge, the impact of different types of exercise on the social skills and ASB of Chinese adolescents is yet to be determined.</p>
<p>According to affective attribution theory, in social interactions, males are more likely to attribute negative emotions to external factors, thereby releasing their emotions, while females tend to attribute them to internal factors, leading to a greater propensity for self-imposed isolation (<xref ref-type="bibr" rid="B19">19</xref>). This has resulted in boys being more prone to ASB (<xref ref-type="bibr" rid="B20">20</xref>). Girls, on the other hand, possess stronger interpersonal skills and are more likely to engage in prosocial behaviors such as cooperation, demonstrating better abilities in peer interactions (<xref ref-type="bibr" rid="B21">21</xref>). However, they also have more sensitive interiors and face greater interpersonal pressure (<xref ref-type="bibr" rid="B21">21</xref>), which can lead to more severe internalized symptoms and greater distress when experiencing adverse events or social exclusion (<xref ref-type="bibr" rid="B22">22</xref>, <xref ref-type="bibr" rid="B23">23</xref>). Scholars have confirmed that although girls are more socially adept and engage in more social activities, boys prefer to participate in PA (<xref ref-type="bibr" rid="B24">24</xref>). There are also significant gender differences in adolescent PA (<xref ref-type="bibr" rid="B25">25</xref>, <xref ref-type="bibr" rid="B26">26</xref>). Other scholars have found that PA boosts social skills significantly more in girls than in boys (<xref ref-type="bibr" rid="B13">13</xref>). Therefore, considering the potential impact of gender on outcomes, it is necessary to incorporate gender differences into research.</p>
<p>According to the limited attention theory, an individual&#x00027;s cognitive capacity is finite, attention to one thing necessarily reduces attention to others during the allocation of resources (<xref ref-type="bibr" rid="B27">27</xref>). Therefore, there are significant differences between only children and non-only children in terms of age, urbanization, family income, and family environment (<xref ref-type="bibr" rid="B28">28</xref>). Family environment is a crucial factor in shaping adolescent PA and social behavior (<xref ref-type="bibr" rid="B28">28</xref>). The participation of adolescents in PA is inseparable from the support of family, friends, and peers (<xref ref-type="bibr" rid="B29">29</xref>). Siblings have a closer relationship with adolescents than their peers and friends, providing a continuous and enduring presence in their lives, and adolescents with siblings are more easily influenced in various ways (<xref ref-type="bibr" rid="B30">30</xref>). This also brings about differences in social behavior and PA preferences for only child status. On the one hand, non-only children have higher levels of PA participation, with siblings encouraging their involvement in sports and establishing healthy behavior patterns (<xref ref-type="bibr" rid="B31">31</xref>). On the other hand, only children and non-only children are in different social networks, leading to different human, material resources, and interpersonal relationships, which in turn affect their social behavior (<xref ref-type="bibr" rid="B32">32</xref>). Therefore, we believe that exploring the only-child status of Chinese adolescents will help to further understand the intrinsic mechanisms of the impact of PA on social skills and ASB.</p>
<p>Existing research does not provide a consistent, authoritative account of the impact of different PA on the social skills and ASB of Chinese adolescents, nor does it include heterogeneity analysis for this population regarding gender and only-child status. Therefore, on the basis of studying the relationship between these factors, verifying whether gender and only-child status have a potential impact on this relationship will not only help deepen our understanding of the PA and social behavior of Chinese adolescents but also draw attention to PA that can be used to intervene in adolescent social behavior. Our findings will provide new evidence and insights for intervening and improving the social skills and ASB of Chinese adolescents.</p></sec>
<sec sec-type="materials and methods" id="s2">
<title>2 Materials and methods</title>
<sec>
<title>2.1 Participants</title>
<p>This longitudinal study was conducted in accordance with the guidelines set forth in the Helsinki Declaration. All procedures involving human subjects were approved by the Ethics Committee of Shandong University (20180517). Prior to the initiation of the survey, informed consent forms were completed by both parents and students. Two waves of data were collected from 186 junior and senior high schools across 17 cities in Shandong Province, China, during the 2021&#x02013;2022 and 2022&#x02013;2023 academic years using population proportionate sampling (PPS) method. All staff involved in data collection and processing underwent two standardized trainings. During the survey, trained investigators organized students to measure physical fitness using standardized guidelines and guided them in completing online questionnaires. All data were collected voluntarily, anonymously, and confidentially, and the collected data were stored on a password-protected website.</p>
<p>A total of 17,084 baseline samples were collected in 2021&#x02013;2022, and 16,494 follow-up samples in 2022&#x02013;2023. After matching and merging the data from the 2 years, 3,705 samples remained. After excluding samples with missing age and gender information, a final effective sample of 3,206 was obtained. This included 1,510 males (age: 13.62 &#x000B1; 1.69), 1,696 females (age: 14.09 &#x000B1; 1.85), 1,339 only children (age: 13.76 &#x000B1; 1.95), and 1,867 non-only children (age: 13.95 &#x000B1; 1.66).</p>
</sec>
<sec>
<title>2.2 Measures</title>
<sec>
<title>2.2.1 Physical activity</title>
<p>PA was measured using the Physical Activity Questionnaire for Older Children (PAQ-C), a self-administered 7-day recall tool designed to assess the general PA levels of students aged 8 to 14 during school days (<xref ref-type="bibr" rid="B33">33</xref>). For the purpose of this study, the first item of the PAQ-C was selected to collect data on different types of PA engaged in by adolescents. In line with the actual participation patterns of Chinese adolescents in PA, the types of activities collected included: skipping rope, roller skating, tag games, walking, cycling, jogging, other aerobic (e.g., mountain climbing), swimming, baseball or softball, dance-related activities, badminton, skateboarding, football, volleyball, basketball, ice skating, and skiing. All adolescents were asked to recall their participation in these PA over the past week and select the corresponding options. No participation in a week was scored as 1 point, while participation seven times or more was scored as 5 points. Each item was scored on a 5-point scale, with a range of 1&#x02013;5 points, where higher scores indicated a higher frequency of participation. Using baseline data, exploratory factor analysis was conducted to examine the construct validity of the scale (KMO = 0.952, <italic>P</italic> = 0.000), and Cronbach&#x00027;s alpha was used to test its reliability (Cronbach&#x00027;s alpha = 0.924). The results indicated good reliability and validity, suggesting that it was suitable to extract information from this scale.</p></sec>
<sec>
<title>2.2.2 Social skills and antisocial behavior</title>
<p>Adolescents&#x00027; social skills and ASB were measured using the School Social Behavior Scale (SSBS) (<xref ref-type="bibr" rid="B34">34</xref>). The scale consists of 65 items divided into two dimensions: social skills and ASB. The SSBS was designed to assess social skills and ASB related to both teachers and peers. Social skills measured adolescents&#x00027; learning abilities, self-management skills, and interpersonal communication skills. ASB was measured in terms of Hostile-Irritable, Antisocial-Aggressive, and Disruptive-Demanding. All items are scored on a five-point scale, ranging from &#x0201C;never&#x0201D; to &#x0201C;often&#x0201D;, corresponding to scores of 1&#x02013;5. The total score for social skills and ASB was calculated by adding up the scores of all items, with higher scores indicating a higher frequency of occurrence. The social skills scale was positively predictive, while the ASB scale was inversely predictive. Higher scores in social skills and lower scores in ASB represent better adaptation to the school environment. The reliability and validity of both the social skills and ASB scales were confirmed. Specifically, the reliability of the social skills subscale was Cronbach&#x00027;s alpha = 0.970, with validity KMO = 0.985, <italic>P</italic> = 0.000. The reliability of the ASB subscale was Cronbach&#x00027;s alpha = 0.968, with validity KMO = 0.986, <italic>P</italic> = 0.000.</p></sec>
<sec>
<title>2.2.3 Covariates</title>
<p>We also measured control variables that might affect the outcomes, which include gender, age, only-child status, and socioeconomic status (SES). Gender was represented by two dummy variables (1 = Male; 2 = Female). Whether the child is an only child was categorized into two types (1 = Yes; 2 = No). SES consists of five items, which include the educational level of both parents (with nine options ranging from no education = 1, primary school = 2, junior high school = 3, vocational school = 4, vocational high school = 5, high school = 6, associate degree = 7, bachelor&#x00027;s degree = 8, graduate and above = 9), the occupation of both parents (with 12 options including unemployed, laid off, farmer, self-employed, general employee in commerce and service, general worker, skilled worker, private enterprise owner, ordinary clerk, ordinary assistant, technician, teacher, engineer, doctor, lawyer, or other professional, senior management in enterprise or company, leader or department head in national organs or institutions), and self-assessment of family economic status (ranging from low to high with scores from 1 to 5, with higher scores indicating better self-assessed family economic status). The total score for SES was calculated by adding the scores of the five items, with higher scores representing a better SES.</p>
</sec>
</sec>
<sec>
<title>2.3 Data analysis</title>
<p>In this study, to eliminate unobserved heterogeneity at the individual level, we used 2 years of data for longitudinal estimation and heterogeneity analysis. First, we conducted descriptive analysis of the sample using independent samples <italic>t</italic>-tests and validated the differences in types of PA, social skills, and ASB by gender and only-child status. Next, the Hausman test was used to determine whether the fixed effects (FE) or random effects (RE) model should be employed. The results of the Hausman test rejected the null hypothesis, indicating that the FE was more suitable for this study. Furthermore, the FE model validated the relationship between the explanatory variables&#x02014;different types of PA&#x02014;and the explained variables&#x02014;social skills and ASB. Lastly, to test the robustness of the study, the paper further enhanced the robustness of the results by validating Robust t-statistics. Heterogeneity was tested by conducting separate analyses for only-child status, gender, and different types of PA. To assess multicollinearity among the variables, we calculated the Variance Inflation Factor (VIF), which had a mean of 2.8, indicating no collinearity issue since it is less than the threshold of 5. Additionally, the FE model used in this study mitigated potential endogeneity problems.</p>
<p>During the analysis process, SPSS 27.0 was used for descriptive analysis of the data, while Stata 17.0 was employed for the Hausman test, VIF test, heterogeneity test, and FE.</p></sec></sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec>
<title>3.1 Descriptive analysis</title>
<p><xref ref-type="table" rid="T1">Tables 1</xref>, <xref ref-type="table" rid="T2">2</xref> present the characteristics of participants in the first wave of data (2021&#x02013;2022). Out of the 3,206 participants, there were 1,510 males and 1,696 females, with an average age of 13.62 &#x000B1; 1.69 for males and 14.09 &#x000B1; 1.85 for females. There were 1,339 only children and 1,867 non-only children. The average educational level of the participants&#x00027; parents was junior high school and above. Additionally, we found significant gender differences in age, father&#x00027;s educational level, father&#x00027;s occupation, and SES. Girls were older than boys on average. Boys had a lower SES compared to girls. The average educational level and occupation of girls&#x00027; fathers were higher than those of boys&#x00027; fathers. The results also indicated significant differences between only children and non-only children in terms of age, SES, parents&#x00027; educational level, and parents&#x00027; occupation. Only children had a significantly higher family SES than non-only children. Furthermore, the educational level and occupation scores of parents of only children were significantly higher than those of non-only children. However, no significant difference was found in self-assessed economic status between only children and non-only children.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Gender differences of participants at baseline (<italic>N</italic> = 3,206).</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="center" colspan="2"><bold>Gender (Mean</bold> &#x000B1;<bold>SD)</bold></th>
<th valign="top" align="center"><bold><italic>t</italic></bold></th>
<th valign="top" align="center"><bold><italic>p</italic></bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td valign="top" align="center"><bold>Boys (</bold><italic><bold>n</bold></italic> = <bold>1,510)</bold></td>
<td valign="top" align="center"><bold>Girls (</bold><italic><bold>n</bold></italic> = <bold>1,696)</bold></td>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">Age</td>
<td valign="top" align="center">13.62 &#x000B1; 1.69</td>
<td valign="top" align="center">14.09 &#x000B1; 1.85</td>
<td valign="top" align="center">&#x02212;7.641</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Socioeconomic status</td>
<td valign="top" align="center">22.22 &#x000B1; 8.87</td>
<td valign="top" align="center">22.86 &#x000B1; 8.37</td>
<td valign="top" align="center">&#x02212;2.088</td>
<td valign="top" align="center">0.037<sup>&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Father&#x00027;s education</td>
<td valign="top" align="center">4.61 &#x000B1; 2.06</td>
<td valign="top" align="center">4.78 &#x000B1; 2.01</td>
<td valign="top" align="center">&#x02212;2.364</td>
<td valign="top" align="center">0.018<sup>&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Mother&#x00027;s education</td>
<td valign="top" align="center">4.45 &#x000B1; 2.14</td>
<td valign="top" align="center">4.51 &#x000B1; 2.01</td>
<td valign="top" align="center">&#x02212;0.813</td>
<td valign="top" align="center">0.416</td>
</tr> <tr>
<td valign="top" align="left">Father&#x00027;s job</td>
<td valign="top" align="center">5.26 &#x000B1; 3.36</td>
<td valign="top" align="center">5.61 &#x000B1; 3.36</td>
<td valign="top" align="center">&#x02212;2.930</td>
<td valign="top" align="center">0.003<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Mother&#x00027;s job</td>
<td valign="top" align="center">4.88 &#x000B1; 3.21</td>
<td valign="top" align="center">4.96 &#x000B1; 3.02</td>
<td valign="top" align="center">&#x02212;0.714</td>
<td valign="top" align="center">0.475</td>
</tr> <tr>
<td valign="top" align="left">Self-assessed economic status</td>
<td valign="top" align="center">3.02 &#x000B1; 0.68</td>
<td valign="top" align="center">3.00 &#x000B1; 0.54</td>
<td valign="top" align="center">0.887</td>
<td valign="top" align="center">0.375</td>
</tr> <tr>
<td valign="top" align="left">Social skills</td>
<td valign="top" align="center">119.74 &#x000B1; 28.02</td>
<td valign="top" align="center">122.14 &#x000B1; 24.80</td>
<td valign="top" align="center">&#x02212;2.548</td>
<td valign="top" align="center">0.011<sup>&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Antisocial behavior</td>
<td valign="top" align="center">48.76 &#x000B1; 19.89</td>
<td valign="top" align="center">43.32 &#x000B1; 14.95</td>
<td valign="top" align="center">8.661</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Skipping rope</td>
<td valign="top" align="center">2.65 &#x000B1; 1.47</td>
<td valign="top" align="center">2.65 &#x000B1; 1.46</td>
<td valign="top" align="center">0.029</td>
<td valign="top" align="center">0.977</td>
</tr> <tr>
<td valign="top" align="left">Roller skating</td>
<td valign="top" align="center">1.85 &#x000B1; 1.32</td>
<td valign="top" align="center">1.62 &#x000B1; 1.13</td>
<td valign="top" align="center">5.235</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Tag games</td>
<td valign="top" align="center">2.23 &#x000B1; 1.39</td>
<td valign="top" align="center">2.01 &#x000B1; 1.36</td>
<td valign="top" align="center">4.376</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Walking</td>
<td valign="top" align="center">3.23 &#x000B1; 1.46</td>
<td valign="top" align="center">3.23 &#x000B1; 1.43</td>
<td valign="top" align="center">&#x02212;0.115</td>
<td valign="top" align="center">0.908</td>
</tr> <tr>
<td valign="top" align="left">Cycling</td>
<td valign="top" align="center">2.58 &#x000B1; 1.56</td>
<td valign="top" align="center">2.22 &#x000B1; 1.43</td>
<td valign="top" align="center">6.676</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Jogging</td>
<td valign="top" align="center">3.36 &#x000B1; 1.33</td>
<td valign="top" align="center">3.36 &#x000B1; 1.25</td>
<td valign="top" align="center">&#x02212;0.046</td>
<td valign="top" align="center">0.963</td>
</tr> <tr>
<td valign="top" align="left">Other aerobic (e.g., mountain climbing)</td>
<td valign="top" align="center">3.06 &#x000B1; 1.50</td>
<td valign="top" align="center">2.71 &#x000B1; 1.48</td>
<td valign="top" align="center">6.720</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Swimming</td>
<td valign="top" align="center">1.79 &#x000B1; 1.30</td>
<td valign="top" align="center">1.61 &#x000B1; 1.18</td>
<td valign="top" align="center">4.113</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Baseball or softball</td>
<td valign="top" align="center">1.65 &#x000B1; 1.20</td>
<td valign="top" align="center">1.38 &#x000B1; 0.94</td>
<td valign="top" align="center">7.030</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Dancing</td>
<td valign="top" align="center">1.58 &#x000B1; 1.13</td>
<td valign="top" align="center">1.92 &#x000B1; 1.37</td>
<td valign="top" align="center">&#x02212;7.633</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Badminton</td>
<td valign="top" align="center">2.38 &#x000B1; 1.38</td>
<td valign="top" align="center">1.84 &#x000B1; 1.20</td>
<td valign="top" align="center">11.748</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Skateboarding</td>
<td valign="top" align="center">1.75 &#x000B1; 1.29</td>
<td valign="top" align="center">1.45 &#x000B1; 1.01</td>
<td valign="top" align="center">7.219</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Football</td>
<td valign="top" align="center">2.14 &#x000B1; 1.35</td>
<td valign="top" align="center">1.50 &#x000B1; 1.00</td>
<td valign="top" align="center">15.113</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Volleyball</td>
<td valign="top" align="center">1.84 &#x000B1; 1.29</td>
<td valign="top" align="center">1.63 &#x000B1; 1.12</td>
<td valign="top" align="center">4.893</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Basketball</td>
<td valign="top" align="center">2.41 &#x000B1; 1.39</td>
<td valign="top" align="center">1.73 &#x000B1; 1.19</td>
<td valign="top" align="center">14.722</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Ice skating</td>
<td valign="top" align="center">1.64 &#x000B1; 1.21</td>
<td valign="top" align="center">1.38 &#x000B1; 0.92</td>
<td valign="top" align="center">6.664</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Skiing</td>
<td valign="top" align="center">1.56 &#x000B1; 1.14</td>
<td valign="top" align="center">1.31 &#x000B1; 0.84</td>
<td valign="top" align="center">6.911</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;</sup>p &#x0003C; 0.05; <sup>&#x0002A;&#x0002A;</sup>p &#x0003C; 0.01.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Only child status differences of participants at baseline (<italic>N</italic> = 3,206).</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="center" colspan="2"><bold>Only child status (Mean</bold> &#x000B1;<bold>SD)</bold></th>
<th valign="top" align="center"><bold><italic>t</italic></bold></th>
<th valign="top" align="center"><bold><italic>p</italic></bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td valign="top" align="center"><bold>Only children (</bold><italic><bold>n</bold></italic> = <bold>1,339)</bold></td>
<td valign="top" align="center"><bold>Non-only children (</bold><italic><bold>n</bold></italic> = <bold>1,867)</bold></td>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">Age</td>
<td valign="top" align="center">13.76 &#x000B1; 1.95</td>
<td valign="top" align="center">13.95 &#x000B1; 1.66</td>
<td valign="top" align="center">&#x02212;2.898</td>
<td valign="top" align="center">0.004<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Socioeconomic status</td>
<td valign="top" align="center">25.10 &#x000B1; 8.93</td>
<td valign="top" align="center">20.73 &#x000B1; 7.89</td>
<td valign="top" align="center">14.334</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Father&#x00027;s education</td>
<td valign="top" align="center">5.18 &#x000B1; 2.14</td>
<td valign="top" align="center">4.35 &#x000B1; 1.88</td>
<td valign="top" align="center">11.326</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Mother&#x00027;s education</td>
<td valign="top" align="center">5.06 &#x000B1; 2.10</td>
<td valign="top" align="center">4.08 &#x000B1; 1.95</td>
<td valign="top" align="center">13.491</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Father&#x00027;s job</td>
<td valign="top" align="center">6.08 &#x000B1; 3.48</td>
<td valign="top" align="center">4.99 &#x000B1; 3.21</td>
<td valign="top" align="center">9.029</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Mother&#x00027;s job</td>
<td valign="top" align="center">5.80 &#x000B1; 3.26</td>
<td valign="top" align="center">4.30 &#x000B1; 2.84</td>
<td valign="top" align="center">13.567</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Self-assessed economic status</td>
<td valign="top" align="center">2.99 &#x000B1; 0.65</td>
<td valign="top" align="center">3.02 &#x000B1; 0.58</td>
<td valign="top" align="center">&#x02212;1.496</td>
<td valign="top" align="center">0.135</td>
</tr> <tr>
<td valign="top" align="left">Social skills</td>
<td valign="top" align="center">122.01 &#x000B1; 27.35</td>
<td valign="top" align="center">120.29 &#x000B1; 25.65</td>
<td valign="top" align="center">1.802</td>
<td valign="top" align="center">0.072</td>
</tr> <tr>
<td valign="top" align="left">Antisocial behavior</td>
<td valign="top" align="center">48.39 &#x000B1; 20.72</td>
<td valign="top" align="center">44.08 &#x000B1; 14.83</td>
<td valign="top" align="center">6.514</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Skipping rope</td>
<td valign="top" align="center">2.72 &#x000B1; 1.40</td>
<td valign="top" align="center">2.60 &#x000B1; 1.52</td>
<td valign="top" align="center">2.247</td>
<td valign="top" align="center">0.025<sup>&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Roller skating</td>
<td valign="top" align="center">1.71 &#x000B1; 1.21</td>
<td valign="top" align="center">1.73 &#x000B1; 1.24</td>
<td valign="top" align="center">&#x02212;0.485</td>
<td valign="top" align="center">0.627</td>
</tr> <tr>
<td valign="top" align="left">Tag games</td>
<td valign="top" align="center">1.98 &#x000B1; 1.28</td>
<td valign="top" align="center">2.21 &#x000B1; 1.44</td>
<td valign="top" align="center">&#x02212;4.814</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Walking</td>
<td valign="top" align="center">3.05 &#x000B1; 1.49</td>
<td valign="top" align="center">3.35 &#x000B1; 1.40</td>
<td valign="top" align="center">&#x02212;5.788</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Cycling</td>
<td valign="top" align="center">2.14 &#x000B1; 1.34</td>
<td valign="top" align="center">2.57 &#x000B1; 1.58</td>
<td valign="top" align="center">&#x02212;8.236</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Jogging</td>
<td valign="top" align="center">3.21 &#x000B1; 1.29</td>
<td valign="top" align="center">3.46 &#x000B1; 1.28</td>
<td valign="top" align="center">&#x02212;5.458</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Other aerobic (e.g., mountain climbing)</td>
<td valign="top" align="center">2.73 &#x000B1; 1.47</td>
<td valign="top" align="center">2.98 &#x000B1; 1.51</td>
<td valign="top" align="center">&#x02212;4.795</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Swimming</td>
<td valign="top" align="center">1.68 &#x000B1; 1.17</td>
<td valign="top" align="center">1.70 &#x000B1; 1.28</td>
<td valign="top" align="center">&#x02212;0.608</td>
<td valign="top" align="center">0.543</td>
</tr> <tr>
<td valign="top" align="left">Baseball or softball</td>
<td valign="top" align="center">1.60 &#x000B1; 1.11</td>
<td valign="top" align="center">1.44 &#x000B1; 1.05</td>
<td valign="top" align="center">4.138</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Dancing</td>
<td valign="top" align="center">1.72 &#x000B1; 1.18</td>
<td valign="top" align="center">1.79 &#x000B1; 1.34</td>
<td valign="top" align="center">&#x02212;1.403</td>
<td valign="top" align="center">0.161</td>
</tr> <tr>
<td valign="top" align="left">Badminton</td>
<td valign="top" align="center">2.02 &#x000B1; 1.24</td>
<td valign="top" align="center">2.14 &#x000B1; 1.36</td>
<td valign="top" align="center">&#x02212;2.691</td>
<td valign="top" align="center">0.007<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Skateboarding</td>
<td valign="top" align="center">1.62 &#x000B1; 1.17</td>
<td valign="top" align="center">1.57 &#x000B1; 1.16</td>
<td valign="top" align="center">1.163</td>
<td valign="top" align="center">0.245</td>
</tr> <tr>
<td valign="top" align="left">Football</td>
<td valign="top" align="center">1.78 &#x000B1; 1.17</td>
<td valign="top" align="center">1.82 &#x000B1; 1.25</td>
<td valign="top" align="center">&#x02212;0.964</td>
<td valign="top" align="center">0.335</td>
</tr> <tr>
<td valign="top" align="left">Volleyball</td>
<td valign="top" align="center">1.87 &#x000B1; 1.28</td>
<td valign="top" align="center">1.62 &#x000B1; 1.14</td>
<td valign="top" align="center">5.742</td>
<td valign="top" align="center">0.000<sup>&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td valign="top" align="left">Basketball</td>
<td valign="top" align="center">2.05 &#x000B1; 1.31</td>
<td valign="top" align="center">2.06 &#x000B1; 1.35</td>
<td valign="top" align="center">&#x02212;0.200</td>
<td valign="top" align="center">0.842</td>
</tr> <tr>
<td valign="top" align="left">Ice skating</td>
<td valign="top" align="center">1.54 &#x000B1; 1.10</td>
<td valign="top" align="center">1.48 &#x000B1; 1.05</td>
<td valign="top" align="center">1.599</td>
<td valign="top" align="center">0.110</td>
</tr> <tr>
<td valign="top" align="left">Skiing</td>
<td valign="top" align="center">1.47 &#x000B1; 1.03</td>
<td valign="top" align="center">1.40 &#x000B1; 0.98</td>
<td valign="top" align="center">1.884</td>
<td valign="top" align="center">0.060</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;</sup>p &#x0003C; 0.05; <sup>&#x0002A;&#x0002A;</sup>p &#x0003C; 0.01.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec>
<title>3.2 Physical activity, social skills, and antisocial behavior</title>
<p>As shown in <xref ref-type="table" rid="T1">Tables 1</xref>, <xref ref-type="table" rid="T2">2</xref>, using the first wave of data (2021&#x02013;2022) as an example, we conducted a differential analysis of all students&#x00027; participation in different types of PA, social skills, and ASB.</p>
<p>The results showed that the most frequently participated activities among adolescents were walking and jogging, followed by cycling, skipping rope, and other aerobic exercises (shown in <xref ref-type="fig" rid="F1">Figure 1</xref>). There were significant gender differences in the frequency of participation in some types of PA. Boys had significantly higher participation rates in roller skating, tag games, cycling, other aerobic exercises, baseball or softball, badminton, skateboarding, football, basketball, volleyball, ice skating, and skiing compared to girls. Girls only had a significantly higher participation rate in dance. There were no significant gender differences in skipping rope, walking, and jogging. This suggests that boys have a higher frequency of PA participation per week compared to girls.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Gender and only child status differences in physical activity.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-12-1502998-g0001.tif"/>
</fig>
<p>There were also differences in the frequency of PA participation between only children and non-only children. We observed that only children had a higher frequency of skipping rope, baseball or softball, and volleyball participation per week, while non-only children had higher frequencies of walking, cycling, jogging, other aerobic exercises, and badminton.</p>
<p>Additionally, we found that girls&#x00027; social skills were significantly higher than boys&#x00027;, but boys&#x00027; ASB was significantly higher than girls&#x00027;. ASB was significantly higher among only children compared to non-only children, while there was no difference in social skills based on only-child status.</p>
</sec>
<sec>
<title>3.3 The relationship of physical activity, social skills, and antisocial behavior</title>
<p>We used FE to examine the impact of the frequency of participation in different types of PA on adolescents&#x00027; social skills and ASB (shown in <xref ref-type="table" rid="T3">Table 3</xref>). Model 1 showed the effect of PA on social skills, while Model 2 added control variables to the original model. Model 3 displayed the effect of PA on ASB, and Model 4 added control variables to the original model.</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Physical activity, social skills, antisocial behavior among participants.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="center" colspan="2"><bold>Model 1</bold></th>
<th valign="top" align="center" colspan="2"><bold>Model 2</bold></th>
<th valign="top" align="center" colspan="2"><bold>Model 3</bold></th>
<th valign="top" align="center" colspan="2"><bold>Model 4</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td valign="top" align="center" colspan="2"><bold>Social skills</bold></td>
<td valign="top" align="center" colspan="2"><bold>Social skills</bold></td>
<td valign="top" align="center" colspan="2"><bold>Antisocial behavior</bold></td>
<td valign="top" align="center" colspan="2"><bold>Antisocial behavior</bold></td>
</tr>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td valign="top" align="center">&#x003B2;</td>
<td valign="top" align="center"><bold>t</bold></td>
<td valign="top" align="center">&#x003B2;</td>
<td valign="top" align="center"><bold>t</bold></td>
<td valign="top" align="center">&#x003B2;</td>
<td valign="top" align="center"><bold>t</bold></td>
<td valign="top" align="center">&#x003B2;</td>
<td valign="top" align="center"><bold>t</bold></td>
</tr> <tr>
<td valign="top" align="left">Skipping rope</td>
<td valign="top" align="center">2.264<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">5.65</td>
<td valign="top" align="center">2.284<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">5.76</td>
<td valign="top" align="center">&#x02212;1.536<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;5.63</td>
<td valign="top" align="center">&#x02212;1.596<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;5.86</td>
</tr> <tr>
<td valign="top" align="left">Roller skating</td>
<td valign="top" align="center">0.529</td>
<td valign="top" align="center">0.85</td>
<td valign="top" align="center">0.566</td>
<td valign="top" align="center">0.91</td>
<td valign="top" align="center">0.546</td>
<td valign="top" align="center">1.26</td>
<td valign="top" align="center">0.546</td>
<td valign="top" align="center">1.25</td>
</tr> <tr>
<td valign="top" align="left">Tag games</td>
<td valign="top" align="center">&#x02212;1.649<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;3.88</td>
<td valign="top" align="center">&#x02212;1.615<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;3.83</td>
<td valign="top" align="center">1.655<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">5.44</td>
<td valign="top" align="center">1.685<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">5.54</td>
</tr> <tr>
<td valign="top" align="left">Walking</td>
<td valign="top" align="center">3.682<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">10.02</td>
<td valign="top" align="center">3.495<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">9.53</td>
<td valign="top" align="center">&#x02212;1.744<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;7.17</td>
<td valign="top" align="center">&#x02212;1.814<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;7.44</td>
</tr> <tr>
<td valign="top" align="left">Cycling</td>
<td valign="top" align="center">1.399<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">3.52</td>
<td valign="top" align="center">1.271<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">3.21</td>
<td valign="top" align="center">&#x02212;1.074<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;4.11</td>
<td valign="top" align="center">&#x02212;1.066<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;4.07</td>
</tr> <tr>
<td valign="top" align="left">Jogging</td>
<td valign="top" align="center">2.019<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.81</td>
<td valign="top" align="center">2.614<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">5.92</td>
<td valign="top" align="center">&#x02212;1.672<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;5.82</td>
<td valign="top" align="center">&#x02212;1.617<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;5.30</td>
</tr> <tr>
<td valign="top" align="left">Other aerobic</td>
<td valign="top" align="center">0.507</td>
<td valign="top" align="center">1.34</td>
<td valign="top" align="center">0.664<sup>&#x0002A;</sup></td>
<td valign="top" align="center">1.77</td>
<td valign="top" align="center">0.108</td>
<td valign="top" align="center">0.42</td>
<td valign="top" align="center">0.173</td>
<td valign="top" align="center">0.68</td>
</tr> <tr>
<td valign="top" align="left">Swimming</td>
<td valign="top" align="center">&#x02212;2.633<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;4.10</td>
<td valign="top" align="center">&#x02212;2.862<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;4.42</td>
<td valign="top" align="center">1.110<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.42</td>
<td valign="top" align="center">0.947<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.06</td>
</tr> <tr>
<td valign="top" align="left">Baseball</td>
<td valign="top" align="center">&#x02212;0.245</td>
<td valign="top" align="center">&#x02212;0.34</td>
<td valign="top" align="center">&#x02212;0.198</td>
<td valign="top" align="center">&#x02212;0.27</td>
<td valign="top" align="center">0.225</td>
<td valign="top" align="center">0.41</td>
<td valign="top" align="center">0.263</td>
<td valign="top" align="center">0.49</td>
</tr> <tr>
<td valign="top" align="left">Dancing</td>
<td valign="top" align="center">&#x02212;1.067<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.21</td>
<td valign="top" align="center">&#x02212;1.110<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.29</td>
<td valign="top" align="center">0.609<sup>&#x0002A;</sup></td>
<td valign="top" align="center">1.66</td>
<td valign="top" align="center">0.521</td>
<td valign="top" align="center">1.41</td>
</tr> <tr>
<td valign="top" align="left">Badminton</td>
<td valign="top" align="center">1.357<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.84</td>
<td valign="top" align="center">1.409<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.96</td>
<td valign="top" align="center">&#x02212;0.268</td>
<td valign="top" align="center">&#x02212;0.80</td>
<td valign="top" align="center">&#x02212;0.220</td>
<td valign="top" align="center">&#x02212;0.65</td>
</tr> <tr>
<td valign="top" align="left">Skateboarding</td>
<td valign="top" align="center">&#x02212;0.124</td>
<td valign="top" align="center">&#x02212;0.18</td>
<td valign="top" align="center">&#x02212;0.227</td>
<td valign="top" align="center">&#x02212;0.33</td>
<td valign="top" align="center">&#x02212;0.753</td>
<td valign="top" align="center">&#x02212;1.53</td>
<td valign="top" align="center">&#x02212;0.717</td>
<td valign="top" align="center">&#x02212;1.46</td>
</tr> <tr>
<td valign="top" align="left">Football</td>
<td valign="top" align="center">&#x02212;0.678</td>
<td valign="top" align="center">&#x02212;1.10</td>
<td valign="top" align="center">&#x02212;0.529</td>
<td valign="top" align="center">&#x02212;0.86</td>
<td valign="top" align="center">0.355</td>
<td valign="top" align="center">0.82</td>
<td valign="top" align="center">0.373</td>
<td valign="top" align="center">0.86</td>
</tr> <tr>
<td valign="top" align="left">Volleyball</td>
<td valign="top" align="center">0.441</td>
<td valign="top" align="center">0.83</td>
<td valign="top" align="center">0.318</td>
<td valign="top" align="center">0.60</td>
<td valign="top" align="center">0.526</td>
<td valign="top" align="center">1.36</td>
<td valign="top" align="center">0.471</td>
<td valign="top" align="center">1.22</td>
</tr> <tr>
<td valign="top" align="left">Basketball</td>
<td valign="top" align="center">0.623</td>
<td valign="top" align="center">1.34</td>
<td valign="top" align="center">0.631</td>
<td valign="top" align="center">1.36</td>
<td valign="top" align="center">&#x02212;0.016</td>
<td valign="top" align="center">&#x02212;0.05</td>
<td valign="top" align="center">0.017</td>
<td valign="top" align="center">0.05</td>
</tr> <tr>
<td valign="top" align="left">Ice skating</td>
<td valign="top" align="center">0.816</td>
<td valign="top" align="center">0.98</td>
<td valign="top" align="center">0.809</td>
<td valign="top" align="center">0.97</td>
<td valign="top" align="center">1.830<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.79</td>
<td valign="top" align="center">1.772<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.71</td>
</tr> <tr>
<td valign="top" align="left">Skiing</td>
<td valign="top" align="center">&#x02212;2.709<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;3.23</td>
<td valign="top" align="center">&#x02212;2.771<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;3.27</td>
<td valign="top" align="center">1.511<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.35</td>
<td valign="top" align="center">1.468<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.31</td>
</tr> <tr>
<td valign="top" align="left">Age</td>
<td/>
<td/>
<td valign="top" align="center">1.780<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.99</td>
<td/>
<td/>
<td valign="top" align="center">&#x02212;0.623</td>
<td valign="top" align="center">&#x02212;1.49</td>
</tr> <tr>
<td valign="top" align="left">Socioeconomic status</td>
<td/>
<td/>
<td valign="top" align="center">0.253<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.38</td>
<td/>
<td/>
<td valign="top" align="center">0.162<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">3.72</td>
</tr> <tr>
<td valign="top" align="left">Constant</td>
<td valign="top" align="center">100.821<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">74.09</td>
<td valign="top" align="center">68.348<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">7.47</td>
<td valign="top" align="center">50.823<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">49.46</td>
<td valign="top" align="center">56.354<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">8.85</td>
</tr> <tr>
<td valign="top" align="left">Observations</td>
<td valign="top" align="center">6,412</td>
<td valign="top" align="center">6,412</td>
<td valign="top" align="center">6,412</td>
<td valign="top" align="center">6,412</td>
<td valign="top" align="center">6,412</td>
<td valign="top" align="center">6,412</td>
<td valign="top" align="center">6,412</td>
<td valign="top" align="center">6,412</td>
</tr> <tr>
<td valign="top" align="left">N</td>
<td valign="top" align="center">3,206</td>
<td valign="top" align="center">3,206</td>
<td valign="top" align="center">3,206</td>
<td valign="top" align="center">3,206</td>
<td valign="top" align="center">3,206</td>
<td valign="top" align="center">3,206</td>
<td valign="top" align="center">3,206</td>
<td valign="top" align="center">3,206</td>
</tr> <tr>
<td valign="top" align="left">R2</td>
<td valign="top" align="center">0.141</td>
<td valign="top" align="center">0.141</td>
<td valign="top" align="center">0.149</td>
<td valign="top" align="center">0.149</td>
<td valign="top" align="center">0.123</td>
<td valign="top" align="center">0.123</td>
<td valign="top" align="center">0.128</td>
<td valign="top" align="center">0.128</td>
</tr> <tr>
<td valign="top" align="left">Adj. R2</td>
<td valign="top" align="center">0.138</td>
<td valign="top" align="center">0.138</td>
<td valign="top" align="center">0.146</td>
<td valign="top" align="center">0.146</td>
<td valign="top" align="center">0.121</td>
<td valign="top" align="center">0.121</td>
<td valign="top" align="center">0.126</td>
<td valign="top" align="center">0.126</td>
</tr> <tr>
<td valign="top" align="left">F</td>
<td valign="top" align="center">30.81</td>
<td valign="top" align="center">30.81</td>
<td valign="top" align="center">28.98</td>
<td valign="top" align="center">28.98</td>
<td valign="top" align="center">21.22</td>
<td valign="top" align="center">21.22</td>
<td valign="top" align="center">20.21</td>
<td valign="top" align="center">20.21</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;&#x0002A;&#x0002A;</sup>p &#x0003C; 0.01; <sup>&#x0002A;&#x0002A;</sup>p &#x0003C; 0.05; <sup>&#x0002A;</sup>p &#x0003C; 0.1.</p>
</table-wrap-foot>
</table-wrap>
<p>The results indicated that, after controlling for some variables, skipping rope (&#x003B2; = 2.284, t = 5.76), walking (&#x003B2; = 3.495, t = 9.53), cycling (&#x003B2; = 1.271, t = 3.21), jogging (&#x003B2; = 2.614, t = 5.92), and badminton (&#x003B2; = 1.409, t = 2.96) had a positive impact on adolescents&#x00027; social skills. Tag games (&#x003B2; = &#x02212;1.615, t = &#x02212;3.83), swimming (&#x003B2; = &#x02212;2.862, t = &#x02212;4.42), dancing (&#x003B2; = &#x02212;1.11, t = &#x02212;2.29), and skiing (&#x003B2; = &#x02212;2.771, t = &#x02212;3.27) had a negative impact on adolescents&#x00027; social skills. Skipping rope (&#x003B2; = &#x02212;1.596, t = &#x02212;5.86), walking (&#x003B2; = &#x02212;1.814, t = &#x02212;7.44), cycling (&#x003B2; = &#x02212;1.066, t = &#x02212;4.07), and jogging (&#x003B2; = &#x02212;1.617, t = &#x02212;5.30) tended to reduce adolescents&#x00027; ASB. Tag games (&#x003B2; = 1.685, t = 5.54), swimming (&#x003B2; = 0.947, t = 2.06), ice skating (&#x003B2; = 1.772, t = 2.71), and skiing (&#x003B2; = 1.468, t = 2.31) tended to increase adolescents&#x00027; ASB.</p>
<p>These findings suggest that certain types of PA can have both positive and negative effects on adolescents&#x00027; social skills and ASB, and that the impact can be influenced by the inclusion of control variables in the model.</p>
</sec>
<sec>
<title>3.4 Difference analysis</title>
<sec>
<title>3.4.1 The relationship between physical activity and social skills</title>
<p>In this study, we used FE to conduct heterogeneity analysis of the relationship between different types of PA and social skills among adolescents, based on only-child status and gender. The results are presented in <xref ref-type="table" rid="T4">Table 4</xref>. Models 1 and 2 show the differences between genders and whether the child is an only child, while Models 3 and 4 add control variables to the original models.</p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>The relationship between physical activity and social skills.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="center" colspan="2"><bold>Model 1</bold></th>
<th valign="top" align="center" colspan="2"><bold>Model 2</bold></th>
<th valign="top" align="center" colspan="2"><bold>Model 3</bold></th>
<th valign="top" align="center" colspan="2"><bold>Model 4</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td valign="top" align="center"><bold>Boys</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Girls</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Only children</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Non&#x02013;only children</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Boys</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Girls</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Only children</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Non-only children</bold> &#x003B2; <bold>(t)</bold></td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Skipping rope</td>
<td valign="top" align="center">3.182<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.493<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.370<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.880<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">3.192<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.416<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.251<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.891<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td valign="top" align="center">(5.46)</td>
<td valign="top" align="center">(2.69)</td>
<td valign="top" align="center">(3.77)</td>
<td valign="top" align="center">(3.53)</td>
<td valign="top" align="center">(5.57)</td>
<td valign="top" align="center">(2.55)</td>
<td valign="top" align="center">(3.60)</td>
<td valign="top" align="center">(3.58)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Roller skating</td>
<td valign="top" align="center">1.005</td>
<td valign="top" align="center">&#x02212;0.054</td>
<td valign="top" align="center">&#x02212;0.877</td>
<td valign="top" align="center">1.604<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.069</td>
<td valign="top" align="center">&#x02212;0.034</td>
<td valign="top" align="center">&#x02212;1.002</td>
<td valign="top" align="center">1.794<sup>&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td valign="top" align="center">(1.18)</td>
<td valign="top" align="center">(&#x02212;0.06)</td>
<td valign="top" align="center">(&#x02212;0.87)</td>
<td valign="top" align="center">(1.98)</td>
<td valign="top" align="center">(1.25)</td>
<td valign="top" align="center">(&#x02212;0.04)</td>
<td valign="top" align="center">(&#x02212;0.99)</td>
<td valign="top" align="center">(2.23)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Tag games</td>
<td valign="top" align="center">&#x02212;1.694<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.329<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.647<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.502<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.591<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.373<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.530<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.496<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td valign="top" align="center">(&#x02212;2.77)</td>
<td valign="top" align="center">(&#x02212;2.22)</td>
<td valign="top" align="center">(&#x02212;2.34)</td>
<td valign="top" align="center">(&#x02212;2.76)</td>
<td valign="top" align="center">(&#x02212;2.63)</td>
<td valign="top" align="center">(&#x02212;2.31)</td>
<td valign="top" align="center">(&#x02212;2.20)</td>
<td valign="top" align="center">(-2.76)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Walking</td>
<td valign="top" align="center">3.297<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.194<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.102<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">3.924<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.983<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.110<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">3.967<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">3.756<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td valign="top" align="center">(6.14)</td>
<td valign="top" align="center">(8.31)</td>
<td valign="top" align="center">(7.47)</td>
<td valign="top" align="center">(7.87)</td>
<td valign="top" align="center">(5.55)</td>
<td valign="top" align="center">(8.21)</td>
<td valign="top" align="center">(7.17)</td>
<td valign="top" align="center">(7.62)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Cycling</td>
<td valign="top" align="center">1.749<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.045<sup>&#x0002A;</sup></td>
<td valign="top" align="center">1.303<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.610<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.623<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.953<sup>&#x0002A;</sup></td>
<td valign="top" align="center">1.348<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.494<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td valign="top" align="center">(3.09)</td>
<td valign="top" align="center">(1.88)</td>
<td valign="top" align="center">(2.06)</td>
<td valign="top" align="center">(3.23)</td>
<td valign="top" align="center">(2.88)</td>
<td valign="top" align="center">(1.72)</td>
<td valign="top" align="center">(2.12)</td>
<td valign="top" align="center">(3.02)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Jogging</td>
<td valign="top" align="center">2.876<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.428<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.187<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.374</td>
<td valign="top" align="center">3.570<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.853<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">4.253<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.266<sup>&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td valign="top" align="center">(4.62)</td>
<td valign="top" align="center">(2.51)</td>
<td valign="top" align="center">(6.54)</td>
<td valign="top" align="center">(0.68)</td>
<td valign="top" align="center">(5.46)</td>
<td valign="top" align="center">(3.10)</td>
<td valign="top" align="center">(6.51)</td>
<td valign="top" align="center">(2.13)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Other aerobic</td>
<td valign="top" align="center">1.081<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.184</td>
<td valign="top" align="center">1.131<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.096</td>
<td valign="top" align="center">1.336<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.117</td>
<td valign="top" align="center">1.324<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.295</td>
</tr>
 <tr>
<td valign="top" align="center">(1.94)</td>
<td valign="top" align="center">(&#x02212;0.36)</td>
<td valign="top" align="center">(1.93)</td>
<td valign="top" align="center">(0.20)</td>
<td valign="top" align="center">(2.38)</td>
<td valign="top" align="center">(&#x02212;0.23)</td>
<td valign="top" align="center">(2.28)</td>
<td valign="top" align="center">(0.61)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Swimming</td>
<td valign="top" align="center">&#x02212;2.167<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.678<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.872<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.641<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.427<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.893<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.062<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.882<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td valign="top" align="center">(&#x02212;2.20)</td>
<td valign="top" align="center">(&#x02212;3.20)</td>
<td valign="top" align="center">(&#x02212;1.68)</td>
<td valign="top" align="center">(&#x02212;3.34)</td>
<td valign="top" align="center">(&#x02212;2.44)</td>
<td valign="top" align="center">(&#x02212;3.43)</td>
<td valign="top" align="center">(&#x02212;1.85)</td>
<td valign="top" align="center">(-3.62)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Baseball</td>
<td valign="top" align="center">&#x02212;1.046</td>
<td valign="top" align="center">0.263</td>
<td valign="top" align="center">&#x02212;1.695</td>
<td valign="top" align="center">0.228</td>
<td valign="top" align="center">&#x02212;0.933</td>
<td valign="top" align="center">0.357</td>
<td valign="top" align="center">&#x02212;1.581</td>
<td valign="top" align="center">0.137</td>
</tr>
 <tr>
<td valign="top" align="center">(&#x02212;1.06)</td>
<td valign="top" align="center">(0.24)</td>
<td valign="top" align="center">(&#x02212;1.55)</td>
<td valign="top" align="center">(0.24)</td>
<td valign="top" align="center">(&#x02212;0.93)</td>
<td valign="top" align="center">(0.32)</td>
<td valign="top" align="center">(&#x02212;1.43)</td>
<td valign="top" align="center">(0.14)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Dancing</td>
<td valign="top" align="center">&#x02212;0.531</td>
<td valign="top" align="center">&#x02212;0.926</td>
<td valign="top" align="center">&#x02212;0.968</td>
<td valign="top" align="center">&#x02212;1.144<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.856</td>
<td valign="top" align="center">&#x02212;0.845</td>
<td valign="top" align="center">&#x02212;1.116</td>
<td valign="top" align="center">&#x02212;1.119<sup>&#x0002A;</sup></td>
</tr>
 <tr>
<td valign="top" align="center">(&#x02212;0.64)</td>
<td valign="top" align="center">(&#x02212;1.51)</td>
<td valign="top" align="center">(&#x02212;1.28)</td>
<td valign="top" align="center">(&#x02212;1.74)</td>
<td valign="top" align="center">(&#x02212;1.03)</td>
<td valign="top" align="center">(&#x02212;1.35)</td>
<td valign="top" align="center">(&#x02212;1.48)</td>
<td valign="top" align="center">(-1.67)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Badminton</td>
<td valign="top" align="center">0.989</td>
<td valign="top" align="center">1.532<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.554<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.098<sup>&#x0002A;</sup></td>
<td valign="top" align="center">1.136</td>
<td valign="top" align="center">1.473<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.625<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.125<sup>&#x0002A;</sup></td>
</tr>
 <tr>
<td valign="top" align="center">(1.41)</td>
<td valign="top" align="center">(2.39)</td>
<td valign="top" align="center">(2.05)</td>
<td valign="top" align="center">(1.80)</td>
<td valign="top" align="center">(1.63)</td>
<td valign="top" align="center">(2.30)</td>
<td valign="top" align="center">(2.16)</td>
<td valign="top" align="center">(1.85)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Skateboarding</td>
<td valign="top" align="center">&#x02212;1.261</td>
<td valign="top" align="center">0.835</td>
<td valign="top" align="center">&#x02212;0.672</td>
<td valign="top" align="center">&#x02212;0.070</td>
<td valign="top" align="center">&#x02212;1.486</td>
<td valign="top" align="center">0.927</td>
<td valign="top" align="center">&#x02212;0.648</td>
<td valign="top" align="center">&#x02212;0.231</td>
</tr>
 <tr>
<td valign="top" align="center">(&#x02212;1.28)</td>
<td valign="top" align="center">(0.86)</td>
<td valign="top" align="center">(&#x02212;0.62)</td>
<td valign="top" align="center">(&#x02212;0.08)</td>
<td valign="top" align="center">(&#x02212;1.51)</td>
<td valign="top" align="center">(0.95)</td>
<td valign="top" align="center">(&#x02212;0.60)</td>
<td valign="top" align="center">(-0.26)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Football</td>
<td valign="top" align="center">&#x02212;1.479<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.121</td>
<td valign="top" align="center">0.504</td>
<td valign="top" align="center">&#x02212;1.222<sup>&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.197</td>
<td valign="top" align="center">0.119</td>
<td valign="top" align="center">0.599</td>
<td valign="top" align="center">&#x02212;1.020</td>
</tr>
 <tr>
<td valign="top" align="center">(&#x02212;1.82)</td>
<td valign="top" align="center">(0.13)</td>
<td valign="top" align="center">(0.49)</td>
<td valign="top" align="center">(&#x02212;1.67)</td>
<td valign="top" align="center">(&#x02212;1.48)</td>
<td valign="top" align="center">(0.12)</td>
<td valign="top" align="center">(0.58)</td>
<td valign="top" align="center">(-1.40)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Volleyball</td>
<td valign="top" align="center">0.235</td>
<td valign="top" align="center">0.826</td>
<td valign="top" align="center">&#x02212;0.527</td>
<td valign="top" align="center">0.833</td>
<td valign="top" align="center">0.161</td>
<td valign="top" align="center">0.629</td>
<td valign="top" align="center">&#x02212;0.664</td>
<td valign="top" align="center">0.606</td>
</tr>
 <tr>
<td valign="top" align="center">(0.30)</td>
<td valign="top" align="center">(1.13)</td>
<td valign="top" align="center">(&#x02212;0.74)</td>
<td valign="top" align="center">(1.06)</td>
<td valign="top" align="center">(0.21)</td>
<td valign="top" align="center">(0.87)</td>
<td valign="top" align="center">(&#x02212;0.94)</td>
<td valign="top" align="center">(0.78)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Basketball</td>
<td valign="top" align="center">0.246</td>
<td valign="top" align="center">0.660</td>
<td valign="top" align="center">&#x02212;0.528</td>
<td valign="top" align="center">1.358<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.248</td>
<td valign="top" align="center">0.720</td>
<td valign="top" align="center">&#x02212;0.421</td>
<td valign="top" align="center">1.330<sup>&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td valign="top" align="center">(0.37)</td>
<td valign="top" align="center">(0.97)</td>
<td valign="top" align="center">(&#x02212;0.71)</td>
<td valign="top" align="center">(2.24)</td>
<td valign="top" align="center">(0.37)</td>
<td valign="top" align="center">(1.07)</td>
<td valign="top" align="center">(&#x02212;0.57)</td>
<td valign="top" align="center">(2.20)</td>
</tr> <tr>
<td valign="top" align="left">Ice skating</td>
<td valign="top" align="center">1.281</td>
<td valign="top" align="center">0.306</td>
<td valign="top" align="center">&#x02212;1.373</td>
<td valign="top" align="center">1.829<sup>&#x0002A;</sup></td>
<td valign="top" align="center">1.282</td>
<td valign="top" align="center">0.283</td>
<td valign="top" align="center">&#x02212;1.482</td>
<td valign="top" align="center">1.963<sup>&#x0002A;</sup></td>
</tr> <tr>
<td/>
<td valign="top" align="center">(1.06)</td>
<td valign="top" align="center">(0.27)</td>
<td valign="top" align="center">(&#x02212;1.06)</td>
<td valign="top" align="center">(1.77)</td>
<td valign="top" align="center">(1.07)</td>
<td valign="top" align="center">(0.25)</td>
<td valign="top" align="center">(&#x02212;1.14)</td>
<td valign="top" align="center">(1.88)</td>
</tr> <tr>
<td valign="top" align="left">Skiing</td>
<td valign="top" align="center">&#x02212;2.341<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;3.426<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.070</td>
<td valign="top" align="center">&#x02212;3.640<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.314<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;3.557<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.143</td>
<td valign="top" align="center">&#x02212;3.683<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr> <tr>
<td/>
<td valign="top" align="center">(&#x02212;2.22)</td>
<td valign="top" align="center">(&#x02212;2.56)</td>
<td valign="top" align="center">(0.05)</td>
<td valign="top" align="center">(&#x02212;3.65)</td>
<td valign="top" align="center">(&#x02212;2.19)</td>
<td valign="top" align="center">(&#x02212;2.61)</td>
<td valign="top" align="center">(&#x02212;0.10)</td>
<td valign="top" align="center">(-3.64)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Age</td>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">2.227<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.058</td>
<td valign="top" align="center">&#x02212;0.334</td>
<td valign="top" align="center">2.840<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">(2.43)</td>
<td valign="top" align="center">(1.31)</td>
<td valign="top" align="center">(&#x02212;0.37)</td>
<td valign="top" align="center">(3.53)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Socioeconomic status</td>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">0.243<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.319<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.246<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.219<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">(2.84)</td>
<td valign="top" align="center">(4.14)</td>
<td valign="top" align="center">(2.84)</td>
<td valign="top" align="center">(2.81)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Constant</td>
<td valign="top" align="center">96.067<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">104.383<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">96.884<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">102.801<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">57.535<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">81.260<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">95.967<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">54.788<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td valign="top" align="center">(45.24)</td>
<td valign="top" align="center">(59.29)</td>
<td valign="top" align="center">(42.85)</td>
<td valign="top" align="center">(60.77)</td>
<td valign="top" align="center">(4.14)</td>
<td valign="top" align="center">(6.52)</td>
<td valign="top" align="center">(6.90)</td>
<td valign="top" align="center">(4.43)</td>
</tr> <tr>
<td valign="top" align="left">Observations</td>
<td valign="top" align="center">3,020</td>
<td valign="top" align="center">3,392</td>
<td valign="top" align="center">2,678</td>
<td valign="top" align="center">3,734</td>
<td valign="top" align="center">3,020</td>
<td valign="top" align="center">3,392</td>
<td valign="top" align="center">2,678</td>
<td valign="top" align="center">3,734</td>
</tr> <tr>
<td valign="top" align="left">N</td>
<td valign="top" align="center">1,510</td>
<td valign="top" align="center">1,696</td>
<td valign="top" align="center">1,339</td>
<td valign="top" align="center">1,867</td>
<td valign="top" align="center">1,510</td>
<td valign="top" align="center">1,696</td>
<td valign="top" align="center">1,339</td>
<td valign="top" align="center">1,867</td>
</tr> <tr>
<td valign="top" align="left">R2</td>
<td valign="top" align="center">0.165</td>
<td valign="top" align="center">0.129</td>
<td valign="top" align="center">0.206</td>
<td valign="top" align="center">0.125</td>
<td valign="top" align="center">0.174</td>
<td valign="top" align="center">0.140</td>
<td valign="top" align="center">0.212</td>
<td valign="top" align="center">0.136</td>
</tr> <tr>
<td valign="top" align="left">Adj. R2</td>
<td valign="top" align="center">0.161</td>
<td valign="top" align="center">0.125</td>
<td valign="top" align="center">0.201</td>
<td valign="top" align="center">0.121</td>
<td valign="top" align="center">0.168</td>
<td valign="top" align="center">0.135</td>
<td valign="top" align="center">0.206</td>
<td valign="top" align="center">0.132</td>
</tr> <tr>
<td valign="top" align="left">F</td>
<td valign="top" align="center">18.50</td>
<td valign="top" align="center">14.48</td>
<td valign="top" align="center">21.11</td>
<td valign="top" align="center">14.98</td>
<td valign="top" align="center">17.37</td>
<td valign="top" align="center">14.26</td>
<td valign="top" align="center">19.12</td>
<td valign="top" align="center">14.51</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;&#x0002A;&#x0002A;</sup>p &#x0003C; 0.01; <sup>&#x0002A;&#x0002A;</sup>p &#x0003C; 0.05; <sup>&#x0002A;</sup>p &#x0003C; 0.1. Robust t-statistics in parentheses.</p>
</table-wrap-foot>
</table-wrap>
<p>Regarding gender differences, badminton only had a positive effect on girls&#x00027; social skills (Girls: &#x003B2; = 1.473, t = 2.30), but no significant effect on boys. Other aerobic exercises only had a significant positive effect on boys (Boys: &#x003B2; = 1.336, t = 2.38), with no effect on girls. Additionally, skipping rope (Boys: &#x003B2; = 3.192, t = 5.57; Girls: &#x003B2; = 1.416, t = 2.55), walking (Boys: &#x003B2; = 2.983, t = 5.55; Girls: &#x003B2; = 4.110, t = 8.21), cycling (Boys: &#x003B2; = 1.623, t = 2.88; Girls: &#x003B2; = 0.953, t = 1.72), and jogging (Boys: &#x003B2; = 3.570, t = 5.46; Girls: &#x003B2; = 1.853, t = 3.10) had a positive effect on the social skills of both boys and girls, with no gender differences. Tag games (Boys: &#x003B2; = &#x02212;1.591, t = &#x02212;2.63; Girls: &#x003B2; = &#x02212;1.373, t = &#x02212;2.31), swimming (Boys: &#x003B2; = &#x02212;2.427, t = &#x02212;2.44; Girls: &#x003B2; = &#x02212;2.893, t = &#x02212;3.43), and skiing (Boys: &#x003B2; = &#x02212;2.314, t = &#x02212;2.19; Girls: &#x003B2; = &#x02212;3.557, t = &#x02212;2.61) had a significant negative effect on both boys and girls.</p>
<p>Regarding the differences in only-child status, roller skating, other aerobic exercises, dancing, basketball, ice skating, and skiing differences based on whether the child is an only child. Non&#x02013;only children who participated in roller skating (Non&#x02013;only children: &#x003B2; = 1.794, t = 2.23), basketball (Non&#x02013;only children: &#x003B2; = 1.330, t = 2.20), and ice skating (Non&#x02013;only children: &#x003B2; = 1.963, t = 1.88) had improved social skills, while no effect was found for only children. Dancing (Non&#x02013;only children: &#x003B2; = &#x02212;1.119, t = &#x02212;1.67) and skiing (Non&#x02013;only children: &#x003B2; = &#x02212;3.683, t = &#x02212;3.64) reduced the social skills of non&#x02013;only children, but no significant effect was found for only children. Participation in other aerobic exercises (Only Children: &#x003B2; = 1.324, t = 2.28) improved the social skills of only children, with no effect on non&#x02013;only children. Additionally, skipping rope (Only Children: &#x003B2; = 2.251, t = 3.60; Non&#x02013;only children: &#x003B2; = 1.891, t = 3.58), tag games (Only Children: &#x003B2; = &#x02212;1.530, t = &#x02212;2.20; Non&#x02013;only children: &#x003B2; = &#x02212;1.496, t = &#x02212;2.76), walking (Only Children: &#x003B2; = 3.967, t = 7.17; Non&#x02013;only children: &#x003B2; = 3.756, t = 7.62), cycling (Only Children: &#x003B2; = 1.348, t = 2.12; Non&#x02013;only children: &#x003B2; = 1.494, t = 3.02), jogging (Only Children: &#x003B2; = 4.253, t = 6.51; Non&#x02013;only children: &#x003B2; = 1.266, t = 2.13), swimming (Only Children: &#x003B2; = &#x02212;2.062, t = &#x02212;1.85; Non&#x02013;only children: &#x003B2; = &#x02212;2.882, t = &#x02212;3.62), and badminton (Only Children: &#x003B2; = 1.625, t = 2.16; Non&#x02013;only children: &#x003B2; = 1.125, t = 1.85) had a significant effect on the social skills of both only children and non&#x02013;only children, with no gender differences.</p></sec>
<sec>
<title>3.4.2 The relationship between physical activity and antisocial behavior</title>
<p>We conducted a heterogeneity analysis using the FE to examine the relationship between different types of PA and ASB among adolescents, based on only-child status and gender. The results are presented in <xref ref-type="table" rid="T5">Table 5</xref>. Models 1 and 2 show the differences between genders and whether the child is an only child, while Models 3 and 4 add control variables to the original models.</p>
<table-wrap position="float" id="T5">
<label>Table 5</label>
<caption><p>The relationship between physical activity and antisocial behavior.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="center" colspan="2"><bold>Model 1</bold></th>
<th valign="top" align="center" colspan="2"><bold>Model 2</bold></th>
<th valign="top" align="center" colspan="2"><bold>Model 3</bold></th>
<th valign="top" align="center" colspan="2"><bold>Model 4</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td valign="top" align="center"><bold>Boys</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Girls</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Only children</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Non-only children</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Boys</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Girls</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Only children</bold> &#x003B2; <bold>(t)</bold></td>
<td valign="top" align="center"><bold>Non-only children</bold> &#x003B2; <bold>(t)</bold></td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Skipping rope</td>
<td valign="top" align="center">&#x02212;2.246<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.819<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.498<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.291<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.219<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.896<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.672<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.295<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(&#x02212;5.43)</td>
<td valign="top" align="center">(&#x02212;2.29)</td>
<td valign="top" align="center">(&#x02212;3.13)</td>
<td valign="top" align="center">(&#x02212;3.94)</td>
<td valign="top" align="center">(&#x02212;5.37)</td>
<td valign="top" align="center">(&#x02212;2.51)</td>
<td valign="top" align="center">(&#x02212;3.50)</td>
<td valign="top" align="center">(&#x02212;3.94)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Roller skating</td>
<td valign="top" align="center">0.870</td>
<td valign="top" align="center">0.067</td>
<td valign="top" align="center">1.287<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.174</td>
<td valign="top" align="center">0.839</td>
<td valign="top" align="center">0.079</td>
<td valign="top" align="center">1.197</td>
<td valign="top" align="center">0.234</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(1.41)</td>
<td valign="top" align="center">(0.11)</td>
<td valign="top" align="center">(1.74)</td>
<td valign="top" align="center">(0.33)</td>
<td valign="top" align="center">(1.35)</td>
<td valign="top" align="center">(0.13)</td>
<td valign="top" align="center">(1.63)</td>
<td valign="top" align="center">(0.45)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Tag games</td>
<td valign="top" align="center">1.979<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.112<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.484<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.734<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">2.006<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.092<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.602<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.731<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(4.47)</td>
<td valign="top" align="center">(2.61)</td>
<td valign="top" align="center">(2.77)</td>
<td valign="top" align="center">(4.87)</td>
<td valign="top" align="center">(4.57)</td>
<td valign="top" align="center">(2.57)</td>
<td valign="top" align="center">(3.00)</td>
<td valign="top" align="center">(4.85)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Walking</td>
<td valign="top" align="center">&#x02212;2.027<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.522<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.679<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.247<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.034<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.569<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.746<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.309<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(&#x02212;5.25)</td>
<td valign="top" align="center">(&#x02212;4.97)</td>
<td valign="top" align="center">(&#x02212;6.84)</td>
<td valign="top" align="center">(&#x02212;3.90)</td>
<td valign="top" align="center">(&#x02212;5.23)</td>
<td valign="top" align="center">(&#x02212;5.11)</td>
<td valign="top" align="center">(&#x02212;6.98)</td>
<td valign="top" align="center">(&#x02212;4.10)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Cycling</td>
<td valign="top" align="center">&#x02212;1.205<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.899<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.472<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.802<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.174<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.932<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.341<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.840<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(&#x02212;3.09)</td>
<td valign="top" align="center">(&#x02212;2.57)</td>
<td valign="top" align="center">(&#x02212;3.18)</td>
<td valign="top" align="center">(&#x02212;2.67)</td>
<td valign="top" align="center">(&#x02212;3.03)</td>
<td valign="top" align="center">(&#x02212;2.65)</td>
<td valign="top" align="center">(&#x02212;2.85)</td>
<td valign="top" align="center">(&#x02212;2.80)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Jogging</td>
<td valign="top" align="center">&#x02212;1.991<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.270<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.207<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.319<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.070<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.078<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;2.302<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.079<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(&#x02212;4.23)</td>
<td valign="top" align="center">(&#x02212;3.62)</td>
<td valign="top" align="center">(&#x02212;4.76)</td>
<td valign="top" align="center">(&#x02212;3.66)</td>
<td valign="top" align="center">(&#x02212;4.11)</td>
<td valign="top" align="center">(&#x02212;2.97)</td>
<td valign="top" align="center">(&#x02212;4.76)</td>
<td valign="top" align="center">(&#x02212;2.82)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Other aerobic</td>
<td valign="top" align="center">0.034</td>
<td valign="top" align="center">0.141</td>
<td valign="top" align="center">0.135</td>
<td valign="top" align="center">0.028</td>
<td valign="top" align="center">0.036</td>
<td valign="top" align="center">0.185</td>
<td valign="top" align="center">0.312</td>
<td valign="top" align="center">0.073</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.08)</td>
<td valign="top" align="center">(0.44)</td>
<td valign="top" align="center">(0.31)</td>
<td valign="top" align="center">(0.09)</td>
<td valign="top" align="center">(0.09)</td>
<td valign="top" align="center">(0.57)</td>
<td valign="top" align="center">(0.70)</td>
<td valign="top" align="center">(0.24)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Swimming</td>
<td valign="top" align="center">0.801</td>
<td valign="top" align="center">1.525<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.916</td>
<td valign="top" align="center">1.383<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.698</td>
<td valign="top" align="center">1.387<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.765</td>
<td valign="top" align="center">1.264<sup>&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(1.15)</td>
<td valign="top" align="center">(2.46)</td>
<td valign="top" align="center">(0.98)</td>
<td valign="top" align="center">(2.79)</td>
<td valign="top" align="center">(1.00)</td>
<td valign="top" align="center">(2.23)</td>
<td valign="top" align="center">(0.82)</td>
<td valign="top" align="center">(2.55)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Baseball</td>
<td valign="top" align="center">0.261</td>
<td valign="top" align="center">0.294</td>
<td valign="top" align="center">0.303</td>
<td valign="top" align="center">0.484</td>
<td valign="top" align="center">0.230</td>
<td valign="top" align="center">0.351</td>
<td valign="top" align="center">0.352</td>
<td valign="top" align="center">0.471</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.34)</td>
<td valign="top" align="center">(0.35)</td>
<td valign="top" align="center">(0.34)</td>
<td valign="top" align="center">(0.71)</td>
<td valign="top" align="center">(0.30)</td>
<td valign="top" align="center">(0.43)</td>
<td valign="top" align="center">(0.41)</td>
<td valign="top" align="center">(0.69)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Dancing</td>
<td valign="top" align="center">0.768</td>
<td valign="top" align="center">0.181</td>
<td valign="top" align="center">2.139<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.411</td>
<td valign="top" align="center">0.810</td>
<td valign="top" align="center">0.190</td>
<td valign="top" align="center">1.988<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.445</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(1.08)</td>
<td valign="top" align="center">(0.44)</td>
<td valign="top" align="center">(3.34)</td>
<td valign="top" align="center">(&#x02212;0.93)</td>
<td valign="top" align="center">(1.14)</td>
<td valign="top" align="center">(0.44)</td>
<td valign="top" align="center">(3.10)</td>
<td valign="top" align="center">(&#x02212;1.01)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Badminton</td>
<td valign="top" align="center">&#x02212;0.570</td>
<td valign="top" align="center">0.154</td>
<td valign="top" align="center">&#x02212;1.086<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.168</td>
<td valign="top" align="center">&#x02212;0.548</td>
<td valign="top" align="center">0.133</td>
<td valign="top" align="center">&#x02212;1.022<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.193</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(&#x02212;1.10)</td>
<td valign="top" align="center">(0.36)</td>
<td valign="top" align="center">(&#x02212;1.87)</td>
<td valign="top" align="center">(0.41)</td>
<td valign="top" align="center">(&#x02212;1.06)</td>
<td valign="top" align="center">(0.31)</td>
<td valign="top" align="center">(&#x02212;1.76)</td>
<td valign="top" align="center">(0.47)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Skateboarding</td>
<td valign="top" align="center">&#x02212;1.784<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.485</td>
<td valign="top" align="center">&#x02212;1.181</td>
<td valign="top" align="center">&#x02212;0.562</td>
<td valign="top" align="center">&#x02212;1.762<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.558</td>
<td valign="top" align="center">&#x02212;1.123</td>
<td valign="top" align="center">&#x02212;0.582</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(&#x02212;2.53)</td>
<td valign="top" align="center">(0.71)</td>
<td valign="top" align="center">(&#x02212;1.33)</td>
<td valign="top" align="center">(&#x02212;1.03)</td>
<td valign="top" align="center">(&#x02212;2.49)</td>
<td valign="top" align="center">(0.83)</td>
<td valign="top" align="center">(&#x02212;1.27)</td>
<td valign="top" align="center">(&#x02212;1.07)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Football</td>
<td valign="top" align="center">1.544<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;1.000</td>
<td valign="top" align="center">0.055</td>
<td valign="top" align="center">0.396</td>
<td valign="top" align="center">1.405<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.983</td>
<td valign="top" align="center">0.116</td>
<td valign="top" align="center">0.438</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(2.63)</td>
<td valign="top" align="center">(&#x02212;1.48)</td>
<td valign="top" align="center">(0.07)</td>
<td valign="top" align="center">(0.80)</td>
<td valign="top" align="center">(2.40)</td>
<td valign="top" align="center">(&#x02212;1.45)</td>
<td valign="top" align="center">(0.15)</td>
<td valign="top" align="center">(0.89)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Volleyball</td>
<td valign="top" align="center">0.150</td>
<td valign="top" align="center">0.658</td>
<td valign="top" align="center">1.691<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.390</td>
<td valign="top" align="center">0.206</td>
<td valign="top" align="center">0.535</td>
<td valign="top" align="center">1.549<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">&#x02212;0.430</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(0.24)</td>
<td valign="top" align="center">(1.35)</td>
<td valign="top" align="center">(3.09)</td>
<td valign="top" align="center">(&#x02212;0.72)</td>
<td valign="top" align="center">(0.34)</td>
<td valign="top" align="center">(1.09)</td>
<td valign="top" align="center">(2.81)</td>
<td valign="top" align="center">(&#x02212;0.79)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Basketball</td>
<td valign="top" align="center">&#x02212;0.168</td>
<td valign="top" align="center">0.358</td>
<td valign="top" align="center">0.275</td>
<td valign="top" align="center">&#x02212;0.228</td>
<td valign="top" align="center">&#x02212;0.205</td>
<td valign="top" align="center">0.410</td>
<td valign="top" align="center">0.361</td>
<td valign="top" align="center">&#x02212;0.242</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(&#x02212;0.35)</td>
<td valign="top" align="center">(0.76)</td>
<td valign="top" align="center">(0.47)</td>
<td valign="top" align="center">(&#x02212;0.57)</td>
<td valign="top" align="center">(&#x02212;0.43)</td>
<td valign="top" align="center">(0.86)</td>
<td valign="top" align="center">(0.61)</td>
<td valign="top" align="center">(&#x02212;0.60)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Ice skating</td>
<td valign="top" align="center">2.897<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.677</td>
<td valign="top" align="center">3.030<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.179</td>
<td valign="top" align="center">2.834<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.641</td>
<td valign="top" align="center">2.928<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">1.190</td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(3.09)</td>
<td valign="top" align="center">(0.75)</td>
<td valign="top" align="center">(2.90)</td>
<td valign="top" align="center">(1.41)</td>
<td valign="top" align="center">(3.03)</td>
<td valign="top" align="center">(0.72)</td>
<td valign="top" align="center">(2.81)</td>
<td valign="top" align="center">(1.42)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Skiing</td>
<td valign="top" align="center">1.108</td>
<td valign="top" align="center">2.490<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.926</td>
<td valign="top" align="center">1.509<sup>&#x0002A;</sup></td>
<td valign="top" align="center">1.046</td>
<td valign="top" align="center">2.417<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.722</td>
<td valign="top" align="center">1.514<sup>&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(1.31)</td>
<td valign="top" align="center">(2.55)</td>
<td valign="top" align="center">(0.82)</td>
<td valign="top" align="center">(1.93)</td>
<td valign="top" align="center">(1.24)</td>
<td valign="top" align="center">(2.51)</td>
<td valign="top" align="center">(0.65)</td>
<td valign="top" align="center">(1.95)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Age</td>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">&#x02212;1.509<sup>&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.268</td>
<td valign="top" align="center">&#x02212;1.214<sup>&#x0002A;</sup></td>
<td valign="top" align="center">0.375</td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">(&#x02212;2.26)</td>
<td valign="top" align="center">(0.48)</td>
<td valign="top" align="center">(&#x02212;1.69)</td>
<td valign="top" align="center">(0.76)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Socioeconomic status</td>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">0.108</td>
<td valign="top" align="center">0.199<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.197<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">0.109<sup>&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">(1.57)</td>
<td valign="top" align="center">(3.73)</td>
<td valign="top" align="center">(2.84)</td>
<td valign="top" align="center">(2.00)</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Constant</td>
<td valign="top" align="center">56.047<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">45.526<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">53.332<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">48.982<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">75.516<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">37.015<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">66.477<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
<td valign="top" align="center">40.784<sup>&#x0002A;&#x0002A;&#x0002A;</sup></td>
</tr>
 <tr>
<td/>
<td valign="top" align="center">(35.57)</td>
<td valign="top" align="center">(32.90)</td>
<td valign="top" align="center">(28.60)</td>
<td valign="top" align="center">(43.49)</td>
<td valign="top" align="center">(7.62)</td>
<td valign="top" align="center">(4.31)</td>
<td valign="top" align="center">(6.09)</td>
<td valign="top" align="center">(5.43)</td>
</tr> <tr>
<td valign="top" align="left">Observations</td>
<td valign="top" align="center">3,020</td>
<td valign="top" align="center">3,392</td>
<td valign="top" align="center">2,678</td>
<td valign="top" align="center">3,734</td>
<td valign="top" align="center">3,020</td>
<td valign="top" align="center">3,392</td>
<td valign="top" align="center">2,678</td>
<td valign="top" align="center">3,734</td>
</tr> <tr>
<td valign="top" align="left">N</td>
<td valign="top" align="center">1,510</td>
<td valign="top" align="center">1,696</td>
<td valign="top" align="center">1,339</td>
<td valign="top" align="center">1,867</td>
<td valign="top" align="center">1,510</td>
<td valign="top" align="center">1,696</td>
<td valign="top" align="center">1,339</td>
<td valign="top" align="center">1,867</td>
</tr> <tr>
<td valign="top" align="left">R2</td>
<td valign="top" align="center">0.152</td>
<td valign="top" align="center">0.112</td>
<td valign="top" align="center">0.180</td>
<td valign="top" align="center">0.096</td>
<td valign="top" align="center">0.157</td>
<td valign="top" align="center">0.121</td>
<td valign="top" align="center">0.188</td>
<td valign="top" align="center">0.099</td>
</tr> <tr>
<td valign="top" align="left">Adj. R2</td>
<td valign="top" align="center">0.147</td>
<td valign="top" align="center">0.108</td>
<td valign="top" align="center">0.175</td>
<td valign="top" align="center">0.0920</td>
<td valign="top" align="center">0.151</td>
<td valign="top" align="center">0.116</td>
<td valign="top" align="center">0.182</td>
<td valign="top" align="center">0.0945</td>
</tr> <tr>
<td valign="top" align="left">F</td>
<td valign="top" align="center">14.11</td>
<td valign="top" align="center">8.736</td>
<td valign="top" align="center">15.37</td>
<td valign="top" align="center">9.274</td>
<td valign="top" align="center">13.51</td>
<td valign="top" align="center">8.513</td>
<td valign="top" align="center">14.67</td>
<td valign="top" align="center">8.653</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p><sup>&#x0002A;&#x0002A;&#x0002A;</sup>p &#x0003C; 0.01; <sup>&#x0002A;&#x0002A;</sup>p &#x0003C; 0.05; <sup>&#x0002A;</sup>p &#x0003C; 0.1. Robust t-statistics in parentheses.</p>
</table-wrap-foot>
</table-wrap>
<p>We found that the relationship between PA and ASB varied by gender. Swimming, skateboarding, football, ice skating, and skiing had significant gender differences in their impact on ASB. Specifically, swimming (Girls: &#x003B2; = 1.387, t = 2.23) and skiing (Girls: &#x003B2; = 2.417, t = 2.51) tended to increase girls&#x00027; ASB, with no effect on boys. Skateboarding (Boys: &#x003B2; = &#x02212;1.762, t = &#x02212;2.49) tended to decrease boys&#x00027; ASB, with no effect on girls. Football (Boys: &#x003B2; = 1.405, t = 2.40) and ice skating (Boys: &#x003B2; = 2.834, t = 3.03) tended to increase boys&#x00027; ASB, with no effect on girls. Additionally, skipping rope (Boys: &#x003B2; = &#x02212;2.219, t = &#x02212;5.37; Girls: &#x003B2; = &#x02212;0.896, t = &#x02212;2.51), walking (Boys: &#x003B2; = &#x02212;2.034, t = &#x02212;5.23; Girls: &#x003B2; = &#x02212;1.569, t = &#x02212;5.11), cycling (Boys: &#x003B2; = &#x02212;1.174, t = &#x02212;3.03; Girls: &#x003B2; = &#x02212;0.932, t = &#x02212;2.65), and jogging (Boys: &#x003B2; = &#x02212;2.070, t = &#x02212;4.11; Girls: &#x003B2; = &#x02212;1.078, t = &#x02212;2.97) tended to reduce ASB in both boys and girls, with no gender differences.</p>
<p>We also found that swimming, dancing, badminton, volleyball, ice skating, and cross&#x02013;country skiing had different effects on ASB based on only&#x02013;child status. Specifically, swimming (Non&#x02013;only children: &#x003B2; = 1.264, t = 2.55) and skiing (Non&#x02013;only children: &#x003B2; = 1.514, t = 1.95) tended to increase ASB in non&#x02013;only children, with no significant effect on only children. Dancing (Only Children: &#x003B2; = 1.988, t = 3.10), volleyball (Only Children: &#x003B2; = 1.549, t = 2.81), and ice skating (Only Children: &#x003B2; = 2.928, t = 2.81) tended to increase ASB in only children, with no significant effect on non&#x02013;only children. Badminton (Only Children: &#x003B2; = &#x02212;1.022, t = &#x02212;1.76) tended to decrease ASB in only children, with no effect on non&#x02013;only children. Furthermore, skipping rope (Only Children: &#x003B2; = &#x02212;1.672, t = &#x02212;3.50; Non&#x02013;only children: &#x003B2; = &#x02212;1.295, t = &#x02212;3.94), walking (Only Children: &#x003B2; = &#x02212;2.746, t = &#x02212;6.98; Non&#x02013;only children: &#x003B2; = &#x02212;1.309, t = &#x02212;4.10), cycling (Only Children: &#x003B2; = &#x02212;1.341, t = &#x02212;2.85; Non&#x02013;only children: &#x003B2; = &#x02212;0.840, t = &#x02212;2.80), and jogging (Only Children: &#x003B2; = &#x02212;2.302, t = &#x02212;4.76; Non&#x02013;only children: &#x003B2; = &#x02212;1.079, t = &#x02212;2.82) tended to reduce ASB in both only children and non&#x02013;only children.</p></sec></sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>This study conducted a two-year longitudinal survey of Chinese adolescents, using FE to investigate the impact of PA on social skills and ASB in 1,510 boys and 1,696 girls, and conducted a heterogeneity analysis based on only-child status and gender. Our research findings are as follows:</p>
<p>(1) Not all PA improved the social skills of Chinese adolescents or reduced their ASB. The relationship between PA and these outcomes varied by gender and only-child status. (2) Boys had significantly higher participation rates in PA such as roller skating, tag games, cycling, other aerobic exercises, baseball or softball, badminton, skateboarding, football, basketball, volleyball, ice skating, and skiing compared to girls, with the exception of dancing, where girls had a significantly higher participation rate. There were no significant gender differences in skipping rope, walking, and jogging. (3) Only children had higher participation rates in skipping rope, baseball or softball, and volleyball compared to non-only children, but non-only children had higher participation rates in walking, cycling, jogging, other aerobic exercises, and badminton. There were no significant differences in participation rates in roller skating, swimming, dancing, skateboarding, football, basketball, ice skating, and skiing based on only-child status. (4) Girls had higher social skills, but boys had significantly higher rates of ASB. (5) Only children had significantly higher rates of ASB compared to non-only children, while there was no difference in social skills based on only-child status.</p>
<p>PA is widely recognized as influencing adolescents&#x00027; social skills and ASB. Participation in PA can enhance social and emotional development, fostering the ability to handle relationships with oneself, others, and the community (<xref ref-type="bibr" rid="B35">35</xref>, <xref ref-type="bibr" rid="B36">36</xref>). Engaging in PA promotes better social skills among adolescents (<xref ref-type="bibr" rid="B37">37</xref>). At the same time, adolescents with psychosocial problems are also associated with lower levels of PA participation (<xref ref-type="bibr" rid="B38">38</xref>), leading to a potential vicious cycle. Therefore, we believe that society, schools, and teachers should take further measures to promote PA among students. However, it is worth noting that some scholars have reported inconsistent results, suggesting that PA indices are unrelated to social and emotional factors (<xref ref-type="bibr" rid="B39">39</xref>). These inconsistencies may arise from the variety of PA, as different activities have different health outcomes. Therefore, we further explored the impact of different types of PA on social skills and ASB.</p>
<p>The findings indicate that skipping rope, walking, cycling, jogging, and badminton have a positive impact on adolescents&#x00027; social skills, while tag games, swimming, dancing, and skiing have a negative impact. Conversely, skipping rope, walking, cycling, and jogging can reduce ASB, whereas tag games, swimming, ice skating, and skiing can increase it. A possible explanation for this pattern is that activities like skipping rope, walking, cycling, and jogging are more structured and are often part of daily routines or school physical education, while tag games, swimming, ice skating, and skiing are unstructured leisure time PA (<xref ref-type="bibr" rid="B40">40</xref>). Participation in structured activities is linked to lower levels of ASB, while participation in unstructured activities is associated with higher levels of ASB (<xref ref-type="bibr" rid="B41">41</xref>). Therefore, we suggest that adolescents should engage in more structured PA as part of their daily routine or in school settings.</p>
<p>Interestingly, we also found demographic differences in the impact of PA. For social skills, badminton only had a positive effect on girls, while other aerobic activities had a significant positive effect on boys. Non-only children&#x00027;s participation in roller skating, basketball, and ice skating was beneficial for their social skills, while dancing and skiing reduced social skills. Additionally, participation in other aerobic activities improved the social skills of only children. Regarding ASB, swimming and skiing were found to increase ASB in girls and only children. Skateboarding reduced ASB in boys, while football and ice skating increased it. Dancing, volleyball, and ice skating increased ASB in only children, while badminton reduced it. Moreover, skipping rope, walking, cycling, and jogging were found to reduce ASB and improve social skills without demographic differences.</p>
<p>From the perspective of differential analysis, the reasons for these differences may stem from the different environments in which PA are participated in. For example, boys may dislike structured exercise classes the most, while girls dislike completely solitary exercise environments the most (<xref ref-type="bibr" rid="B42">42</xref>). Swimming, being a solitary activity, may lead to a rejection of the sport due to the exercise environment and lacks a social context, which is not conducive to social behavior. In addition to the exercise environment, the intensity of the exercise is also a factor, as research has shown that vigorous PA can increase criminal behavior in males (<xref ref-type="bibr" rid="B43">43</xref>). Other studies have shown the opposite, that PA can reduce the risk of bullying for males (<xref ref-type="bibr" rid="B44">44</xref>). Another potential factor is the significant differences in sensitivity, ASB, and social emotional issues among boys and girls, and between only children and non-only children, which contribute to the marked inconsistencies (<xref ref-type="bibr" rid="B45">45</xref>&#x02013;<xref ref-type="bibr" rid="B48">48</xref>). While gender differences are well-documented, the differences between only children and non-only children provide new evidence and a unique perspective for related research.</p>
<p>Our findings support previous research on gender differences in PA. Despite the higher participation of girls in dancing and no significant gender differences in jogging, skipping rope, and walking, overall PA was lower among girls (<xref ref-type="bibr" rid="B45">45</xref>, <xref ref-type="bibr" rid="B49">49</xref>&#x02013;<xref ref-type="bibr" rid="B51">51</xref>). This discrepancy is reflected in activities like roller skating, tag games, cycling, other aerobic exercises, baseball or softball, badminton, skateboarding, football, basketball, volleyball, ice skating, and skiing. We suggest that psychological enjoyment and cultural background may play roles in these differences (<xref ref-type="bibr" rid="B52">52</xref>). Boys may have a stronger preference for PA due to their greater physical capabilities (<xref ref-type="bibr" rid="B53">53</xref>), while girls may have a higher innate talent and preference for dance. Girls may also experience negative emotions due to internalized behaviors, such as dissatisfaction with their body shape or athletic ability (<xref ref-type="bibr" rid="B46">46</xref>), and may lack the motivation to engage in PA due to a lack of enjoyment, social support, and past experience (<xref ref-type="bibr" rid="B47">47</xref>). Overall, girls may have a more complex emotional landscape and greater barriers to PA participation compared to boys (<xref ref-type="bibr" rid="B45">45</xref>, <xref ref-type="bibr" rid="B47">47</xref>).</p>
<p>PA preferences also varied between only children and non-only children. Non-only children had higher participation rates in walking, cycling, jogging, other aerobic exercises, and badminton. These activities are often categorized as daily PA due to their universality, convenience, and widespread availability. Therefore, it can be seen that the participation of non-only children in sports activities in daily life is higher than that of only children (<xref ref-type="bibr" rid="B54">54</xref>, <xref ref-type="bibr" rid="B55">55</xref>). This is consistent with studies by scholars that non-only children have higher levels of moderate and vigorous PA (<xref ref-type="bibr" rid="B31">31</xref>). However, only children had higher participation rates in skipping rope, baseball or softball, and volleyball. This could be due to parental support (<xref ref-type="bibr" rid="B56">56</xref>), as these activities may not be as universally accessible and could be influenced by limited attention theory (<xref ref-type="bibr" rid="B57">57</xref>). Additionally, skipping rope is a physical education requirement in China&#x00027;s compulsory education system, which may also contribute to higher participation rates among only children.</p>
<p>The study revealed that girls had higher social skills than boys, but boys exhibited significantly higher rates of ASB. This aligns with some scholars&#x00027; findings that girls have better environmental adaptability and social skills (<xref ref-type="bibr" rid="B58">58</xref>). According to social role theory, girls may appear warmer than boys (<xref ref-type="bibr" rid="B59">59</xref>). Girls tend to excel in social behavior and social responsibility compared to boys (<xref ref-type="bibr" rid="B60">60</xref>). However, despite having stronger interpersonal relationship skills, girls often experience more stress and negative emotions due to their sensitivity (<xref ref-type="bibr" rid="B21">21</xref>), which can lead to poorer psychological wellbeing than boys. In terms of ASB, boys show more overt behaviors such as aggression, truancy, smoking, and alcohol consumption (<xref ref-type="bibr" rid="B61">61</xref>). Boys&#x00027; social cognitive style, status, and agentic goals, as well as their information processing methods, contribute to their higher rates of aggression (<xref ref-type="bibr" rid="B21">21</xref>, <xref ref-type="bibr" rid="B48">48</xref>). Therefore, parents and teachers should pay more attention to the ASB of adolescent boys, enhancing their social behavior and interpersonal communication skills. At the same time, attention should be given to the internalizing behaviors of adolescent girls to prevent psychological disorders or negative health outcomes due to social pressures and negative emotions.</p>
<p>Additionally, the study found that only children had significantly higher rates of ASB than non-only children, while there was no difference in social skills based on only-child status. Contrary to our findings, some scholars have suggested that non-only children are more prone to engaging in aggressive behaviors such as fighting, self-harm, and suicidal ideation than only children (<xref ref-type="bibr" rid="B62">62</xref>). Potential explanations for these discrepancies may lie in the different family structures, family environments, and access to human and material resources for only child and non-only children (<xref ref-type="bibr" rid="B28">28</xref>). Family structure and environment are complex factors strongly associated with adolescents&#x00027; ASB (<xref ref-type="bibr" rid="B63">63</xref>, <xref ref-type="bibr" rid="B64">64</xref>). Moreover, parents&#x00027; social skills play a crucial role in how children interact with their peers at school (<xref ref-type="bibr" rid="B65">65</xref>). Therefore, we believe that regardless of whether they are only child or not, parents should provide a healthy family environment, pay attention to their social skills and ASB to promote their healthy development (<xref ref-type="bibr" rid="B66">66</xref>).</p>
<p>The study aims to draw attention to the potential of PA as a tool for interventions targeting adolescent social behavior. Our results provide a novel understanding that can inform interventions and improvements in social behavior among Chinese adolescents. By recognizing the differential impacts of PA on social skills and ASB, stakeholders such as educators, policymakers, and health professionals can develop more tailored and effective strategies to promote positive social development among adolescents. This could include the design of PA programs that are sensitive to gender and family structure, as well as the incorporation of activities that have been shown to positively influence social skills and reduce ASB in different demographic groups.</p>
<sec>
<title>4.1 Limitation</title>
<p>Despite the contributions of this study to the understanding of PA, social skills, and ASB among Chinese adolescents, and the consideration of gender and only-child status in the differential analysis, it is important to acknowledge its limitations.</p>
<p>Firstly, beyond SES, gender age, and only-child status, there are many potential confounding factors that were not included in this study. For instance, the stigmatization of overweight and obesity can have a detrimental impact on adolescents&#x00027; participation in PA and social interaction, which may potentially influence the outcomes. Future research should consider including obesity indices (<xref ref-type="bibr" rid="B67">67</xref>). Secondly, adolescents&#x00027; PA is influenced by school environment and parental PA behavior. Further research should explore the complex social context of adolescents to investigate the relationship between these factors more thoroughly. Thirdly, the types of PA collected in this study were limited to those commonly practiced by Chinese adolescents, and did not cover all possible activities. A broader range of activities should be considered in future research to provide a more comprehensive picture. Fourthly, there are significant urban-rural disparities in China, which may affect the outcomes for adolescents. Future research should delve deeper into these disparities to understand their impact on adolescents&#x00027; social skills and ASB. In conclusion, while this study offers valuable insights into the relationship between PA, social skills, and ASB among Chinese adolescents, there is room for improvement in terms of the range of factors considered and the depth of analysis. Future research should aim to address these limitations to provide a more robust and nuanced understanding of the complex interplay between PA and social outcomes in adolescent populations.</p></sec>
</sec>
<sec sec-type="conclusions" id="s5">
<title>5 Conclusion</title>
<p>Our findings highlight the importance of considering gender and only-child status when examining the relationships between PA, social skills, and ASB. Additionally, the inconsistent results across different types of PA, as well as the gender and only-child differences observed, underscore the complex nature of these relationships. These insights are particularly significant for shaping the health and wellbeing of Chinese adolescents.</p></sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found below: Database of Youth Health (<ext-link ext-link-type="uri" xlink:href="https://www.ncmi.cn/index.html">https://www.ncmi.cn/index.html</ext-link>).</p>
</sec>
<sec sec-type="ethics-statement" id="s7">
<title>Ethics statement</title>
<p>The studies involving humans were approved by Ethics Committee of Shandong University (20180517). The studies were conducted in accordance with the local legislation and institutional requirements. Written informed consent for participation in this study was provided by the participants&#x00027; legal guardians/next of kin.</p>
</sec>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>YY: Data curation, Validation, Writing &#x02013; original draft. YG: Funding acquisition, Methodology, Writing &#x02013; review &#x00026; editing. XY: Formal analysis, Supervision, Writing &#x02013; review &#x00026; editing. YH: Conceptualization, Methodology, Writing &#x02013; review &#x00026; editing. LZ: Validation, Writing &#x02013; review &#x00026; editing. LC: Formal analysis, Writing &#x02013; review &#x00026; editing. WS: Methodology, Validation, Writing &#x02013; review &#x00026; editing. SZ: Conceptualization, Supervision, Writing &#x02013; review &#x00026; editing. SM: Supervision, Writing &#x02013; review &#x00026; editing.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work was supported by the National Social Science Fund of China (grant number: 21BTY054).</p>
</sec>
<ack><p>We appreciate the contributions of all staff who helped collect the data. Thanks to the support of the National Social Science Fund of China and Shandong University.</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="s10">
<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>
<ref-list>
<title>References</title>
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