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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Psychol.</journal-id>
<journal-title>Frontiers in Psychology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychol.</abbrev-journal-title>
<issn pub-type="epub">1664-1078</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyg.2025.1531049</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Direct and indirect effects of coaching leadership style on athlete engagement</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Li</surname>
<given-names>Jingjing</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2899068/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/software/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xing</surname>
<given-names>Suxuan</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/resources/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
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</contrib-group>
<aff id="aff1"><sup>1</sup><institution>College of Physical Education (Gymnastics Academy), Chengdu Sport University, Eastern New District</institution>, <addr-line>Chengdu</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>College of Sport Training, Chengdu Sport University, Eastern New District</institution>, <addr-line>Chengdu</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/813429/overview">Matej Maksimiljan Tusak</ext-link>, University of Ljubljana, Slovenia</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2695145/overview">Jiajie Ning</ext-link>, Guangxi Medical University, China</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3065845/overview">Fan Xu</ext-link>, Ningbo University of Technology, China</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Jingjing Li, <email>784478290@qq.com</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>17</day>
<month>09</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1531049</elocation-id>
<history>
<date date-type="received">
<day>19</day>
<month>11</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>09</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Li and Xing.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Li and Xing</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>Introduction</title>
<p>This study examines how coaching leadership styles influence athlete engagement through the sequential mediating mechanisms of perceived social support and achievement goal orientation.</p>
</sec>
<sec>
<title>Methods</title>
<p>Using validated psychological scales, the research explores the interplay between democratic and authoritarian leadership approaches, athletes&#x2019; perceptions of social support, and their task- or ego-oriented goal pursuits.</p>
</sec>
<sec>
<title>Results</title>
<p>The findings reveal that democratic leadership significantly enhances athlete engagement by fostering a supportive environment that strengthens perceived social support, which subsequently promotes task-oriented goals. This dual pathway highlights the critical role of social support and mastery-focused motivation in cultivating athlete engagement. In contrast, authoritarian leadership does not demonstrate meaningful associations with engagement or its mediators.</p>
</sec>
<sec>
<title>Discussion</title>
<p>The results underscore the importance of democratic leadership in creating a psychologically empowering climate, offering actionable insights for coach development programs to emphasize autonomy-supportive and collaborative strategies. Theoretically, the study bridges Self-Determination Theory and Achievement Goal Theory by demonstrating how socially embedded support systems and task-oriented goals synergistically contribute to optimizing athlete performance and well-being.</p>
</sec>
</abstract>
<kwd-group>
<kwd>coaching leadership style</kwd>
<kwd>athletic engagement</kwd>
<kwd>perceived social support</kwd>
<kwd>achievement goal orientation</kwd>
<kwd>chain mediating effects</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="5"/>
<equation-count count="0"/>
<ref-count count="83"/>
<page-count count="12"/>
<word-count count="8476"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Sport Psychology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<title>Introduction</title>
<p>The coach-athlete relationship constitutes a dynamic, symbiotic microsystem (<xref ref-type="bibr" rid="ref46">Li, 2021</xref>) in which leadership styles simultaneously shape the immediate training climate and, via person-behavior-environment transactions (<xref ref-type="bibr" rid="ref3">Bandura, 1978</xref>), subtly govern how fully athletes invest themselves and how effectively they perform. Self-Determination Theory maintains that satisfaction of the basic psychological needs for autonomy, competence and relatedness is essential for sustaining intrinsic motivation (<xref ref-type="bibr" rid="ref13">Deci and Ryan, 1985</xref>; <xref ref-type="bibr" rid="ref66">Ryan and Deci, 2000</xref>), whereas situational leadership perspectives remind us that athletes&#x2019; technical and psychological states are in constant flux (<xref ref-type="bibr" rid="ref10">Chelladurai and Saleh, 1980</xref>). Coaches must therefore continuously recalibrate their behaviors in response to these fluctuations (<xref ref-type="bibr" rid="ref19">Fiedler, 1967</xref>; <xref ref-type="bibr" rid="ref35">House, 1971</xref>; <xref ref-type="bibr" rid="ref31">Hersey and Blanchard, 1982</xref>; <xref ref-type="bibr" rid="ref8">Cahyono et al., 2023</xref>) so that optimal levels of support and challenge are consistently supplied (<xref ref-type="bibr" rid="ref49">Mageau and Vallerand, 2003</xref>).</p>
<p>Within this process, leadership style first colours athletes&#x2019; subjective appraisal of available support. When coaches adopt a democratic orientation&#x2014;characterized by open communication, emotional concern and structured guidance rather than unilateral command (<xref ref-type="bibr" rid="ref25">Gonz&#x00E1;lez-Garc&#x00ED;a et al., 2021</xref>; <xref ref-type="bibr" rid="ref41">Jowett et al., 2016</xref>; <xref ref-type="bibr" rid="ref59">Podlog et al., 2015</xref>)&#x2014;athletes experience greater respect and understanding (<xref ref-type="bibr" rid="ref22">Gabana et al., 2022</xref>). Consequently, support originating from coaches, teammates and family is internalized as psychological safety (<xref ref-type="bibr" rid="ref83">Zimet et al., 1990</xref>; <xref ref-type="bibr" rid="ref62">Poucher et al., 2018</xref>), effectively buffering stress reactions during training and competition (<xref ref-type="bibr" rid="ref42">Katagami and Tsuchiya, 2016</xref>; <xref ref-type="bibr" rid="ref47">Liu et al., 2023</xref>). This heightened perceived social support not only elevates engagement directly (<xref ref-type="bibr" rid="ref32">Hodge et al., 2009</xref>; <xref ref-type="bibr" rid="ref53">Miao et al., 2022</xref>) but also strengthens self-efficacy, thereby guiding athletes toward a task-oriented achievement goal that centres on self-referenced skill improvement rather than normative superiority (<xref ref-type="bibr" rid="ref78">Wentzel, 1994</xref>; <xref ref-type="bibr" rid="ref30">Hernandez et al., 2016</xref>; <xref ref-type="bibr" rid="ref50">Mart&#x00ED;nez-L&#x00F3;pez et al., 2024</xref>). Task orientation, in turn, is associated with robust self-efficacy and positive achievement emotions (<xref ref-type="bibr" rid="ref4">Bandura and Kavussanu, 2018</xref>; <xref ref-type="bibr" rid="ref54">Miller et al., 2021</xref>), which feed back to consolidate intrinsic motivation and psychological well-being (<xref ref-type="bibr" rid="ref37">Jakobsen, 2021</xref>; <xref ref-type="bibr" rid="ref77">Wekesser et al., 2021</xref>), producing a cascading &#x201C;leadership &#x2192; support &#x2192; goal &#x2192; engagement&#x201D; sequence.</p>
<p>Conversely, an over-reliance on authoritarian leadership may instil discipline in the short term (<xref ref-type="bibr" rid="ref6">Bass and Riggio, 2006</xref>) yet simultaneously undercut athletes&#x2019; sense of autonomy (<xref ref-type="bibr" rid="ref72">Vallerand, 1997</xref>), diminish favorable appraisals of support, and precipitate ego-oriented social comparisons and performance anxiety (<xref ref-type="bibr" rid="ref51">Martins et al., 2017</xref>; <xref ref-type="bibr" rid="ref17">Elbe et al., 2023</xref>), ultimately undermining sustained engagement and health (<xref ref-type="bibr" rid="ref40">Jin et al., 2022</xref>).</p>
<p>Integrating Self-Determination Theory with achievement-goal perspectives, the present research therefore examines the chain-mediated pathway through which coaching leadership styles influence athlete engagement via perceived social support and achievement goal orientation. The findings are expected to provide both theoretical depth and actionable evidence for the precision-tuning of coaching behaviors in high-performance sport settings (<xref ref-type="bibr" rid="ref64">Reynders et al., 2019</xref>; <xref ref-type="bibr" rid="ref7">Borghi et al., 2017</xref>).</p>
<p>In summary, we developed hypotheses H1a, H1b, H2a, H2b, H3a, H3b, H4a, H4b.</p>
<disp-quote>
<p>H1a: Coaches&#x2019; democratic leadership style has a significant positive effect on athlete engagement.</p>
</disp-quote>
<disp-quote>
<p>H1b: Coaches&#x2019; authoritarian leadership style has a significant negative effect on athlete engagement.</p>
</disp-quote>
<disp-quote>
<p>H2a: Perceived social support mediates the relationship between coaches&#x2019; democratic leadership style and athlete engagement.</p>
</disp-quote>
<disp-quote>
<p>H2b: Perceived social support mediates the relationship between coaches&#x2019; authoritarian leadership style and athlete engagement.</p>
</disp-quote>
<disp-quote>
<p>H3a: Athlete task orientation influences the relationship between democratic leadership styles and athlete engagement.</p>
</disp-quote>
<disp-quote>
<p>H3b: Athlete ego orientation influences the relationship between authoritarian leadership styles and athlete engagement.</p>
</disp-quote>
<disp-quote>
<p>H4a: perceived social support and athlete task orientation act as chain mediators between democratic leadership styles and athlete engagement.</p>
</disp-quote>
<disp-quote>
<p>H4b: perceived social support and athlete ego orientation act as chain mediators between authoritarian leadership styles and athlete engagement.</p>
</disp-quote>
<sec id="sec2">
<title>Current research</title>
<p>The present study constructed a chain mediation model in order to deeply explore the mechanism of the influence of coaches&#x2019; leadership styles on athlete engagement and the mediating roles of perceived social support and goal-achievement orientation between them, aiming to provide new ideas for the effect enhancement and effective intervention strategies of athlete engagement (see <xref ref-type="fig" rid="fig1">Figure 1</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>The proposed multiple mediation model.</p>
</caption>
<graphic xlink:href="fpsyg-16-1531049-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Flowchart illustrating the pathways from democratic and authoritarian leadership styles to athlete engagement. Democratic leadership influences perceived social support, task orientation, and athlete engagement. Authoritarian leadership affects perceived social support, ego orientation, and athlete engagement. Perceived social support impacts both task and ego orientations, which in turn influence athlete engagement. Arrows represent the direction of influence among these variables.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="materials|methods" id="sec3">
<title>Materials and methods</title>
<sec id="sec4">
<title>Data collection methods</title>
<p>The study received ethical approval from Chengdu Sport University&#x2019;s Institutional Review Board (Approval No.: 2024&#x2013;90). Used G&#x002A;Power 3.1.9.7 for a multiple-regression model with five predictors, <italic>&#x03B1;</italic> =&#x202F;0.05, powe<italic>r</italic> =&#x202F;0.80, and a medium effect size f<sup>2</sup> =&#x202F;0.15; the required <italic>N</italic> =&#x202F;119. To offset potential attrition and allow subgroup analyses, we doubled this number to 240 and ultimately collected 290 valid responses. From May 13 to June 20, 2024, the research team recruited 300 athletes through on-site visits and email contacts across four Chinese provinces: Sichuan, Shandong, Guangdong, and Heilongjiang. Interested athletes received detailed information about the study&#x2019;s purpose, requirements, and expectations, along with an informed consent form. Participants who signed the consent form completed a multi-part online questionnaire via the &#x201C;Questionnaire Star&#x201D; platform. A total of 290 valid responses were collected, representing both individual and team sports, including field hockey (<italic>n</italic> =&#x202F;38, 13.1%), sparring (<italic>n</italic> =&#x202F;30, 10.3%), basketball (<italic>n</italic> =&#x202F;24, 8.3%), and artistic gymnastics (<italic>n</italic> =&#x202F;23, 7.9%). Athletics (<italic>n</italic> =&#x202F;70, 24.1%), Swimming (<italic>n</italic> =&#x202F;55, 19.0%), Badminton (<italic>n</italic> =&#x202F;30, 10.3%), Shooting (<italic>n</italic> =&#x202F;20, 6.9%).</p>
<p>Participant demographic characteristics are summarized in <xref ref-type="table" rid="tab1">Table 1</xref>. The sample included 147 female athletes (50.7%) and 143 male athletes (49.3%), aged 13&#x2013;34&#x202F;years (mean age <italic>M</italic>&#x202F;=&#x202F;18.73, SD&#x202F;=&#x202F;&#x00B1;3.72). Average training experience was 6.87&#x202F;years (SD&#x202F;=&#x202F;&#x00B1;4.45). Competitive levels comprised: &#x201C;National Master Athlete&#x201D; (<italic>n</italic> =&#x202F;88, 30.3%), &#x201C;National Level Athlete&#x201D; (<italic>n</italic> =&#x202F;69, 23.8%), &#x201C;National Secondary Level Athlete&#x201D; (<italic>n</italic> =&#x202F;49, 16.9%), and &#x201C;Developmental Athletes&#x201D; (<italic>n</italic> =&#x202F;84, 29.0%).</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Demographic characteristics of participants (<italic>N</italic> =&#x202F;290).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">Category</th>
<th align="center" valign="top">Count (Percentage)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="2">Gender</td>
<td align="center" valign="middle">Female</td>
<td align="center" valign="middle">147 (50.7%)</td>
</tr>
<tr>
<td align="center" valign="middle">Male</td>
<td align="center" valign="middle">143 (49.3%)</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">Age</td>
<td align="center" valign="middle">13&#x2013;17&#x202F;years</td>
<td align="center" valign="middle">124 (42.8%)</td>
</tr>
<tr>
<td align="center" valign="middle">18&#x2013;25&#x202F;years</td>
<td align="center" valign="middle">136 (46.9%)</td>
</tr>
<tr>
<td align="center" valign="middle">&#x2265;26&#x202F;years</td>
<td align="center" valign="middle">30 (10.3%)</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">Sport type</td>
<td align="center" valign="middle">Individual</td>
<td align="center" valign="middle">142 (49.0%)</td>
</tr>
<tr>
<td align="center" valign="middle">Team</td>
<td align="center" valign="middle">148 (51.0%)</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="4">Competitive level</td>
<td align="center" valign="middle">National Master Athlete</td>
<td align="center" valign="middle">88 (30.3%)</td>
</tr>
<tr>
<td align="center" valign="middle">National Level Athlete</td>
<td align="center" valign="middle">69 (23.8%)</td>
</tr>
<tr>
<td align="center" valign="middle">National Secondary Level Athlete</td>
<td align="center" valign="middle">49 (16.9%)</td>
</tr>
<tr>
<td align="center" valign="middle">Developmental Athletes</td>
<td align="center" valign="middle">84 (29.0%)</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">Training experience</td>
<td align="center" valign="middle">&#x2264;5&#x202F;years</td>
<td align="center" valign="middle">129 (44.5%)</td>
</tr>
<tr>
<td align="center" valign="middle">6&#x2013;10&#x202F;years</td>
<td align="center" valign="middle">112 (38.6%)</td>
</tr>
<tr>
<td align="center" valign="middle">&#x2265;11&#x202F;years</td>
<td align="center" valign="middle">49 (16.9%)</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec5">
<title>Measures</title>
<p>The study utilized four validated instruments to assess coaching and athlete-related constructs in <xref ref-type="table" rid="tab2">Table 2</xref>. The Coaching Leadership Style Scale (CLSS; <xref ref-type="bibr" rid="ref10">Chelladurai and Saleh, 1980</xref>), adapted for Chinese contexts by <xref ref-type="bibr" rid="ref80">Yang (2008)</xref>, measures coaching strategies through 10 items across two subscales (democratic and authoritarian leadership) rated on a 5-point Likert scale (<italic>&#x03B1;</italic>&#x202F;=&#x202F;0.866 and 0.815, respectively). The Perceived Social Support Scale (PSSS; <xref ref-type="bibr" rid="ref82">Zimet et al., 1988</xref>), modified with Jiang and Blumenthal revisions, evaluates subjective social support perceptions via 12 items across three domains (family, peer, and significant others) using a 7-point Likert scale (<italic>&#x03B1;</italic>&#x202F;=&#x202F;0.948). Task and Ego Orientation in Sport Questionnaire (TEOSQ; <xref ref-type="bibr" rid="ref16">Duda and Nicholls, 1992</xref>), validated for Chinese populations by, captures motivational patterns with 13 items divided into task (7 items) and ego orientation (6 items) subscales on a 5-point Likert scale (<italic>&#x03B1;</italic>&#x202F;=&#x202F;0.909 and 0.768, respectively). Finally, the Athlete Engagement Questionnaire (AEQ; <xref ref-type="bibr" rid="ref48">Lonsdale et al., 2007</xref>), cross-culturally validated by <xref ref-type="bibr" rid="ref39">Jiang et al. (2023)</xref>, assesses athlete engagement through 16 items across four dimensions (confidence, vigor, dedication, and enthusiasm) rated on a 5-point Likert scale (<italic>&#x03B1;</italic> =&#x202F;0.972). All scales demonstrated strong psychometric properties, with internal consistency coefficients exceeding the recommended threshold of <italic>&#x03B1;</italic>&#x202F;&#x003E;&#x202F;0.70.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Elements for measuring coaching leadership style on athlete engagement.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">Item</th>
<th align="left" valign="top">Content</th>
<th align="left" valign="top">Reference</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="10">CLSS</td>
<td align="center" valign="middle">DL1</td>
<td align="left" valign="middle">1. Seeks athletes&#x2019; input on specific competition strategies</td>
<td align="left" valign="middle" rowspan="10"><xref ref-type="bibr" rid="ref10">Chelladurai and Saleh (1980)</xref> and <xref ref-type="bibr" rid="ref80">Yang (2008)</xref></td>
</tr>
<tr>
<td align="center" valign="middle">AL1</td>
<td align="left" valign="middle">2. Maintains a cold, distant attitude toward athletes</td>
</tr>
<tr>
<td align="center" valign="middle">DL2</td>
<td align="left" valign="middle">3. Involves athletes in the decision-making process</td>
</tr>
<tr>
<td align="center" valign="middle">AL2</td>
<td align="left" valign="middle">4. Dislikes athletes asking questions during instruction</td>
</tr>
<tr>
<td align="center" valign="middle">DL3</td>
<td align="left" valign="middle">5. Consults athletes on major training and competition matters</td>
</tr>
<tr>
<td align="center" valign="middle">AL3</td>
<td align="left" valign="middle">6. Demands unconditional acceptance of his/her opinions</td>
</tr>
<tr>
<td align="center" valign="middle">DL4</td>
<td align="left" valign="middle">7. Encourages athletes to suggest training methods</td>
</tr>
<tr>
<td align="center" valign="middle">AL4</td>
<td align="left" valign="middle">8. Uses a commanding tone during training and competitions</td>
</tr>
<tr>
<td align="center" valign="middle">DL5</td>
<td align="left" valign="middle">9. Seeks team input on significant decisions</td>
</tr>
<tr>
<td align="center" valign="middle">AL5</td>
<td align="left" valign="middle">10. Prohibits others from participating in decision-making</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="12">PSSS</td>
<td align="center" valign="middle">MF1</td>
<td align="left" valign="middle">1. Some people (teachers, classmates, relatives) are present when I encounter problems</td>
<td align="left" valign="middle" rowspan="12">
<xref ref-type="bibr" rid="ref82">Zimet et al. (1988)</xref>
</td>
</tr>
<tr>
<td align="center" valign="middle">MF2</td>
<td align="left" valign="middle">2. I can share happiness and sadness with others</td>
</tr>
<tr>
<td align="center" valign="middle">MF3</td>
<td align="left" valign="middle">3. My family provides tangible support to me</td>
</tr>
<tr>
<td align="center" valign="middle">MF4</td>
<td align="left" valign="middle">4. I receive emotional support from my family when needed</td>
</tr>
<tr>
<td align="center" valign="middle">MP1</td>
<td align="left" valign="middle">5. Some people (teachers, classmates, relatives) comfort me genuinely</td>
</tr>
<tr>
<td align="center" valign="middle">MP2</td>
<td align="left" valign="middle">6. My friends genuinely help me</td>
</tr>
<tr>
<td align="center" valign="middle">MP3</td>
<td align="left" valign="middle">7. I can rely on my friends during difficulties</td>
</tr>
<tr>
<td align="center" valign="middle">MP4</td>
<td align="left" valign="middle">8. I discuss my problems with my family</td>
</tr>
<tr>
<td align="center" valign="middle">MS1</td>
<td align="left" valign="middle">9. My friends share happiness and sadness with me</td>
</tr>
<tr>
<td align="center" valign="middle">MS2</td>
<td align="left" valign="middle">10. There are people (teachers, classmates, relatives) who care about my feelings</td>
</tr>
<tr>
<td align="center" valign="middle">MS3</td>
<td align="left" valign="middle">11. My family willingly assists me in making decisions</td>
</tr>
<tr>
<td align="center" valign="middle">MS4</td>
<td align="left" valign="middle">12. I discuss my problems with friends</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="13">TEOSQ</td>
<td align="center" valign="middle">TO1</td>
<td align="left" valign="middle">1. Learning a new technique motivates me to practice more</td>
<td align="left" valign="middle" rowspan="13">
<xref ref-type="bibr" rid="ref16">Duda and Nicholls (1992)</xref>
</td>
</tr>
<tr>
<td align="center" valign="middle">EO1</td>
<td align="left" valign="middle">2. When I am the only one mastering a technique/skill</td>
</tr>
<tr>
<td align="center" valign="middle">TO2</td>
<td align="left" valign="middle">3. Learning a technique that makes me feel joyful</td>
</tr>
<tr>
<td align="center" valign="middle">EO2</td>
<td align="left" valign="middle">4. When I outperform my peers</td>
</tr>
<tr>
<td align="center" valign="middle">TO3</td>
<td align="left" valign="middle">5. Learning a new technique through effort</td>
</tr>
<tr>
<td align="center" valign="middle">EO3</td>
<td align="left" valign="middle">6. When others cannot perform as well as me</td>
</tr>
<tr>
<td align="center" valign="middle">TO4</td>
<td align="left" valign="middle">7. When I train with great effort</td>
</tr>
<tr>
<td align="center" valign="middle">EO4</td>
<td align="left" valign="middle">8. When others have problems but I do not</td>
</tr>
<tr>
<td align="center" valign="middle">TO5</td>
<td align="left" valign="middle">9. Learning a technique that motivates me to practice more</td>
</tr>
<tr>
<td align="center" valign="middle">EO5</td>
<td align="left" valign="middle">10. When I achieve the best/highest performance</td>
</tr>
<tr>
<td align="center" valign="middle">TO6</td>
<td align="left" valign="middle">11. Mastering a newly learned movement effectively</td>
</tr>
<tr>
<td align="center" valign="middle">EO6</td>
<td align="left" valign="middle">12. When I am the best performer</td>
</tr>
<tr>
<td align="center" valign="middle">TO7</td>
<td align="left" valign="middle">13. When I give my maximum effort</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="16">AEQ</td>
<td align="center" valign="middle">C1</td>
<td align="left" valign="middle">1. I believe I can achieve my personal sports goals</td>
<td align="left" valign="middle" rowspan="16"><xref ref-type="bibr" rid="ref48">Lonsdale et al. (2007)</xref> and <xref ref-type="bibr" rid="ref39">Jiang et al. (2023)</xref></td>
</tr>
<tr>
<td align="center" valign="middle">V1</td>
<td align="left" valign="middle">2. I am passionate during training and competitions</td>
</tr>
<tr>
<td align="center" valign="middle">D1</td>
<td align="left" valign="middle">3. I am committed to achieving my sports goals</td>
</tr>
<tr>
<td align="center" valign="middle">E1</td>
<td align="left" valign="middle">4. I am excited about my sport</td>
</tr>
<tr>
<td align="center" valign="middle">C1</td>
<td align="left" valign="middle">5. I believe I can succeed in sports</td>
</tr>
<tr>
<td align="center" valign="middle">V1</td>
<td align="left" valign="middle">6. I feel energetic during training and competitions</td>
</tr>
<tr>
<td align="center" valign="middle">D1</td>
<td align="left" valign="middle">7. I am determined to achieve my sports goals</td>
</tr>
<tr>
<td align="center" valign="middle">E1</td>
<td align="left" valign="middle">8. I am enthusiastic about my sport</td>
</tr>
<tr>
<td align="center" valign="middle">C1</td>
<td align="left" valign="middle">9. I believe I have the skills to succeed in sports</td>
</tr>
<tr>
<td align="center" valign="middle">V1</td>
<td align="left" valign="middle">10. I feel vigorous during training and competitions</td>
</tr>
<tr>
<td align="center" valign="middle">D1</td>
<td align="left" valign="middle">11. I fully devote myself to my sport</td>
</tr>
<tr>
<td align="center" valign="middle">E1</td>
<td align="left" valign="middle">12. I enjoy my sport</td>
</tr>
<tr>
<td align="center" valign="middle">C1</td>
<td align="left" valign="middle">13. I am confident in my abilities</td>
</tr>
<tr>
<td align="center" valign="middle">V1</td>
<td align="left" valign="middle">14. I remain highly alert during training and competitions</td>
</tr>
<tr>
<td align="center" valign="middle">D1</td>
<td align="left" valign="middle">15. I hope to achieve my sports goals through effort</td>
</tr>
<tr>
<td align="center" valign="middle">E1</td>
<td align="left" valign="middle">16. I find great enjoyment in my sport</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>CLSS: DL, democratic leadership; AL, authoritarian leadership. PSSS: F, family; P, peer; S, significant others. TEOSQ: TO, task orientation; EO: ego orientation. AEQ: C, confidence; V, vigor; D, dedication; E, enthusiasm.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec6">
<title>Control variables</title>
<p>In addition to the primary research variables, this study controlled for variables of athletes&#x2019; demographic characteristics including gender, age, and years of training to explore the unique effects of coaching leadership style on athlete engagement. The impact of coaching leadership style on athlete engagement may vary based on these demographic factors, and it has been shown that gender and age moderate the impact of leadership style on athlete motivation and engagement (<xref ref-type="bibr" rid="ref67">Smith and Smoll, 1990</xref>; <xref ref-type="bibr" rid="ref75">Vella et al., 2013</xref>). In addition, training experience may also influence athletes&#x2019; responses to different leadership styles, with more experienced athletes potentially differing in their motivation and engagement patterns from those with less training experience (<xref ref-type="bibr" rid="ref33">Horn, 2008</xref>). Therefore, controlling for gender, age, and years of training can more clearly analyze the independent effects of coaching leadership style on athlete engagement.</p>
</sec>
<sec id="sec7">
<title>Data analysis</title>
<p>Descriptive statistics and Pearson&#x2019;s correlation analysis were implemented using SPSS 26.0 to depict data profiles and explore correlations between variables. Variance inflation factor (VIF) covariance test was conducted, setting VIF&#x202F;&#x003E;&#x202F;10 as the criterion for seriousness of multicollinearity. Chain mediation effect analysis was performed using <xref ref-type="bibr" rid="ref29">Hayes (2012)</xref> model 6, and the bias-corrected percentile Bootstrap method was used to verify the significance of the mediation effect, with the 95% confidence interval not containing 0 as the basis for determining statistical significance (<xref ref-type="bibr" rid="ref18">Erceg-Hurn and Mirosevich, 2008</xref>). Prior to data analysis, the Harman one-way test was implemented to assess and reduce the effect of common method variance (<xref ref-type="bibr" rid="ref60">Podsakoff et al., 2003</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="sec8">
<title>Results</title>
<sec id="sec9">
<title>Common method bias test</title>
<p>Due to the use of an anonymous survey where all variables were self-reported by the athletes, the findings may have been influenced by common method bias. To address this issue, a Harman one-way test was conducted on all items. The results showed that nine factors had eigenvalues greater than 1, with the largest factor explaining 37% of the variance, which was below the critical criterion of 40%. It indicates that there is no serious common method bias in this study.</p>
</sec>
<sec id="sec10">
<title>Descriptive statistics and correlation analysis of each variable</title>
<p><xref ref-type="table" rid="tab3">Table 3</xref> presents the means, standard deviations, and Pearson correlation coefficients for the studied variables, providing insights into the relationships between coaching leadership styles, perceived social support, task orientation, ego orientation, and athlete engagement. The results indicate a significant positive correlation between democratic leadership style and perceived social support [<italic>r</italic> =&#x202F;0.428, <italic>p</italic> &#x003C;&#x202F;0.001], task orientation [<italic>r</italic> =&#x202F;0.387, <italic>p</italic> &#x003C;&#x202F;0.001], and athlete engagement [<italic>r</italic> =&#x202F;0.531, <italic>p</italic> &#x003C;&#x202F;0.001]. However, no significant relationship was found between democratic leadership style and ego orientation [<italic>r</italic> =&#x202F;0.007, <italic>p</italic> &#x003E;&#x202F;0.05] or autocratic leadership style[<italic>r</italic> =&#x202F;&#x2212;0.016, <italic>p</italic> &#x003E;&#x202F;0.05].</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>The correlation of the main study variables (<italic>N</italic>&#x202F;=&#x202F;290).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="left" valign="top">Mean</th>
<th align="center" valign="top">SD</th>
<th align="center" valign="top">DLS</th>
<th align="center" valign="top">ALS</th>
<th align="center" valign="top">PSS</th>
<th align="center" valign="top">TO</th>
<th align="center" valign="top">EO</th>
<th align="center" valign="top">AE</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">DLS</td>
<td align="center" valign="middle">3.869</td>
<td align="center" valign="middle">0.919</td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">ALS</td>
<td align="center" valign="middle">2.091</td>
<td align="center" valign="middle">0.990</td>
<td align="center" valign="middle">&#x2212;0.016</td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">PSS</td>
<td align="center" valign="middle">65.53</td>
<td align="center" valign="middle">13.885</td>
<td align="center" valign="middle">0.428<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.024</td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">TO</td>
<td align="center" valign="middle">4.128</td>
<td align="center" valign="middle">0.720</td>
<td align="center" valign="middle">0.387<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.092</td>
<td align="center" valign="middle">0.553<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">EO</td>
<td align="center" valign="middle">3.421</td>
<td align="center" valign="middle">0.834</td>
<td align="center" valign="middle">0.007</td>
<td align="center" valign="middle">0.223<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.265<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.479<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">AE</td>
<td align="center" valign="middle">16.562</td>
<td align="center" valign="middle">3.254</td>
<td align="center" valign="middle">0.531<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">&#x2212;0.114</td>
<td align="center" valign="middle">0.570<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.625<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">0.263<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">1</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05; &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01;&#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001.</p>
</table-wrap-foot>
</table-wrap>
<p>Autocratic leadership style, in contrast, showed a significant positive correlation with ego orientation [<italic>r</italic> =&#x202F;0.223, <italic>p</italic> &#x003C;&#x202F;0.001] but no significant relationships with perceived social support [<italic>r</italic> =&#x202F;&#x2212;0.024, <italic>p</italic> &#x003E;&#x202F;0.05], task orientation [<italic>r</italic> =&#x202F;&#x2212;0.092, <italic>p</italic> &#x003E;&#x202F;0.05], or athlete engagement [<italic>r</italic> =&#x202F;&#x2212;0.114, <italic>p</italic> &#x003E;&#x202F;0.05]. This divergence highlights the distinct effects of leadership styles on athletes&#x2019; psychological and behavioral outcomes, emphasizing the more constructive role of democratic leadership in fostering positive athlete engagement and motivation.</p>
<p>Further, perceived social support exhibited strong positive correlations with task orientation [<italic>r</italic> =&#x202F;0.553, <italic>p</italic> &#x003C;&#x202F;0.001] and athlete engagement [<italic>r</italic> =&#x202F;0.570, <italic>p</italic> &#x003C;&#x202F;0.001], underscoring its pivotal role as a mediator. Similarly, task orientation demonstrated the highest correlation with athlete engagement [<italic>r</italic> =&#x202F;0.625, <italic>p</italic> &#x003C;&#x202F;0.001], suggesting its critical influence on athletes&#x2019; sustained involvement in sports. Ego orientation was positively correlated with task orientation [<italic>r</italic> =&#x202F;0.479, <italic>p</italic> &#x003C;&#x202F;0.001] and athlete engagement [<italic>r</italic> =&#x202F;0.263, <italic>p</italic> &#x003C;&#x202F;0.001], albeit to a lesser extent, reflecting its more limited impact compared to task orientation.</p>
<p>These findings validate several hypotheses (H1a, H2a, H3a, H4a) while rendering others invalid (H1b, H2b, H3b, H4b). The results reinforce the importance of democratic leadership and task orientation in enhancing athlete engagement and the moderating influence of perceived social support.</p>
</sec>
<sec id="sec11">
<title>Relationship between coaches&#x2019; leadership styles and athlete engagement: a chain-mediation model</title>
<p>Based on the correlation analysis between the variables, it was found that the correlation coefficients between coaches&#x2019; authoritarian leadership styles and athlete engagement were not significant (<italic>P</italic> &#x003E;&#x202F;0.05), and the correlations of perceived social support and athletes&#x2019; task orientation were not significant (<italic>P</italic> &#x003E;&#x202F;0.05); therefore, only the chain mediating effects of perceived social support and athletes&#x2019; task orientation on the relationship between coaches&#x2019; democratic leadership styles and athlete engagement were examined. Chain mediating effect was tested. Prior to testing the effects, the predictor variables in the equations were standardized and covariance diagnostics were performed. The results showed that the variance inflation factors for all predictor variables (1.375, 1.989, and 1.568) were less than 5. Therefore, the data used in this study did not suffer from serious covariance problems and were suitable for further testing of the mediating effect. The process plug-in developed by Hayes was used to assess the 95% confidence interval (CI) of the mediating effect of perceived social support and task orientation in the effect of democratic leadership style on athlete engagement (bootstrap sample size of 5,000), and the results of the chain mediation model were developed as shown in <xref ref-type="table" rid="tab4">Table 4</xref>.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Testing for the multiple mediating effects.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="top" colspan="2">Regression equation (<italic>N</italic> =&#x202F;290)</th>
<th align="center" valign="top" colspan="3">Fitting index</th>
<th align="center" valign="top" colspan="2">Coefficient and<break/>significance</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Outcome Variables</td>
<td align="left" valign="middle">Predictor Variables</td>
<td align="center" valign="middle">R</td>
<td align="center" valign="middle">R<sup>2</sup></td>
<td align="center" valign="middle">F</td>
<td align="center" valign="middle"><italic>&#x03B2;</italic></td>
<td align="center" valign="middle">t</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="2">PSS</td>
<td align="left" valign="middle">Constants</td>
<td align="center" valign="middle" rowspan="2">0.428</td>
<td align="center" valign="middle" rowspan="2">0.183</td>
<td align="center" valign="middle" rowspan="2">64.617</td>
<td align="center" valign="middle">10.123<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">12.650</td>
</tr>
<tr>
<td align="left" valign="middle">DLS</td>
<td align="center" valign="middle">1.618<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">8.039</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">TO</td>
<td align="left" valign="middle">Constants</td>
<td align="center" valign="middle" rowspan="3">0.578</td>
<td align="center" valign="middle" rowspan="3">0.333</td>
<td align="center" valign="middle" rowspan="3">71.689</td>
<td align="center" valign="middle">1.960<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">10.456</td>
</tr>
<tr>
<td align="left" valign="middle">DLS</td>
<td align="center" valign="middle">0.145<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">3.455</td>
</tr>
<tr>
<td align="left" valign="middle">PSS</td>
<td align="center" valign="middle">0.099<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">8.882</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="4">AE</td>
<td align="left" valign="middle">Constants</td>
<td align="center" valign="middle" rowspan="4">0.725</td>
<td align="center" valign="middle" rowspan="4">0.525</td>
<td align="center" valign="middle" rowspan="4">105.427</td>
<td align="center" valign="middle">1.882<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">2.236</td>
</tr>
<tr>
<td align="left" valign="middle">DLS</td>
<td align="center" valign="middle">0.994<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">6.095</td>
</tr>
<tr>
<td align="left" valign="middle">PSS</td>
<td align="center" valign="middle">0.221<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">4.639</td>
</tr>
<tr>
<td align="left" valign="middle">TO</td>
<td align="center" valign="middle">1.746<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="center" valign="middle">7.743</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05; &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01;&#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001.</p>
</table-wrap-foot>
</table-wrap>
<p>The results showed that coaches&#x2019; democratic leadership style had a positive and significant predictive effect on athlete engagement [<italic>&#x03B2;</italic>&#x202F;=&#x202F;0.531, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001]. Also, coaches&#x2019; democratic leadership styles had a positive and significant predictive effect [<italic>&#x03B2;</italic>&#x202F;=&#x202F;0.428, <italic>p</italic> &#x003C;&#x202F;0.001; <italic>&#x03B2;</italic>&#x202F;=&#x202F;0.387, <italic>p</italic> &#x003C;&#x202F;0.001] on perceived social support and athletes&#x2019; task orientation, and hypothesis H1a was supported. Perceived social support had a significant positive predictive effect on athlete task orientation and athlete engagement [<italic>&#x03B2;</italic>&#x202F;=&#x202F;0.553, <italic>p</italic> &#x003C;&#x202F;0.001; <italic>&#x03B2;</italic>&#x202F;=&#x202F;0.570, <italic>p</italic> &#x003C;&#x202F;0.001]. Athlete task orientation was a significant positive predictor of athlete engagement [<italic>&#x03B2;</italic>&#x202F;=&#x202F;0.625, <italic>p</italic> &#x003C;&#x202F;0.001] (see <xref ref-type="fig" rid="fig2">Figure 2</xref>).</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>The multiple mediating effects of perceived social support and achievement goal orientation. The dotted line indicates that the path coefficient is not significant.</p>
</caption>
<graphic xlink:href="fpsyg-16-1531049-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Diagram showing relationships between leadership styles, orientations, and athlete engagement. Democratic leadership positively affects perceived social support and task orientation, enhancing athlete engagement. Authoritarian leadership negatively affects these factors. Path coefficients are shown, with asterisks indicating significance levels.</alt-text>
</graphic>
</fig>
<p><xref ref-type="table" rid="tab5">Table 5</xref> further examination of the mediating effects revealed that the Bootstrap 95% confidence interval for the total indirect effect of perceived social support and athlete task orientation in the effect of democratic leadership styles on athletic commitment was (0.562, 1.251), which did not contain zero, indicating that perceived social support and athlete task orientation play a mediating role. The total indirect effect of the two was 0.888, accounting for 47.18% of the total effect. This mediating effect consisted of three main pathways.</p>
<list list-type="order">
<list-item>
<p>Democratic leadership style&#x2192;perceived social support&#x2192;athlete engagement [95%CI&#x202F;=&#x202F;(0.172, 0.611), standard error (SE)&#x202F;=&#x202F;0.115], with a mediating effect of 0.358, accounting for 19.02% of the total effect. Hypothesis H2a was supported.</p>
</list-item>
<list-item>
<p>Democratic leadership style&#x2192;Task orientation&#x2192;Athlete engagement [95%CI&#x202F;=&#x202F;(0.060, 0.490), standard error (SE)&#x202F;=&#x202F;0.109], with a mediating effect of 0.252, accounting for 13.39% of the total effect. Hypothesis H3a was supported.</p>
</list-item>
<list-item>
<p>Democratic leadership style&#x2192;Perceived social support&#x2192;Task orientation&#x2192;Athlete engagement [95%CI&#x202F;=&#x202F;(0.145, 0.451), standard error (SE)&#x202F;=&#x202F;0.079, with a mediating effect of 0.079], with a mediating effect of 0.278, accounting for 14.77% of the total effect. Hypothesis H4a was supported.</p>
</list-item>
</list>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>The estimates of total, direct and indirect effects of the model.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">Effect</th>
<th align="center" valign="top">Boot SE</th>
<th align="center" valign="top">Boot LL CI</th>
<th align="center" valign="top">Boot UL CI</th>
<th align="center" valign="top">Relative mediation effect</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Total Indirect effect</td>
<td align="center" valign="middle">0.888</td>
<td align="center" valign="middle">0.178</td>
<td align="center" valign="middle">0.562</td>
<td align="center" valign="middle">1.251</td>
<td align="center" valign="middle">47.18%</td>
</tr>
<tr>
<td align="left" valign="middle">Indirect effect 1</td>
<td align="center" valign="middle">0.358</td>
<td align="center" valign="middle">0.115</td>
<td align="center" valign="middle">0.172</td>
<td align="center" valign="middle">0.611</td>
<td align="center" valign="middle">19.02%</td>
</tr>
<tr>
<td align="left" valign="middle">Indirect effect 2</td>
<td align="center" valign="middle">0.252</td>
<td align="center" valign="middle">0.109</td>
<td align="center" valign="middle">0.060</td>
<td align="center" valign="middle">0.490</td>
<td align="center" valign="middle">13.39%</td>
</tr>
<tr>
<td align="left" valign="middle">Indirect effect 3</td>
<td align="center" valign="middle">0.278</td>
<td align="center" valign="middle">0.079</td>
<td align="center" valign="middle">0.145</td>
<td align="center" valign="middle">0.451</td>
<td align="center" valign="middle">14.77%</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Indirect effect 1: democratic leadership style&#x2192;perceived social support&#x2192;athlete engagement; Indirect effect 2: democratic leadership style&#x2192;task orientation&#x2192;Athlete engagement; Indirect effect 3: democratic leadership style&#x2192;perceived social support&#x2192;task orientation&#x2192;athlete engagement.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="sec12">
<title>Discussion</title>
<p>After controlling for gender, age, years of training, and type of sport, this study found that democratic coaching leadership style had a significant positive effect on athlete participation. This result is consistent with previous research suggesting that democratic leadership styles can significantly enhance intrinsic motivation and participation by satisfying athletes&#x2019; feelings of autonomy, competence, and belonging (<xref ref-type="bibr" rid="ref14">Deci and Ryan, 1975</xref>; <xref ref-type="bibr" rid="ref67">Smith and Smoll, 1990</xref>; <xref ref-type="bibr" rid="ref74">Vella et al., 2024</xref>) Self-determination theory suggests that environments that support autonomy help to increase motivation and decrease feelings of disengagement, thereby sustaining athletes&#x2019; long-term engagement (<xref ref-type="bibr" rid="ref66">Ryan and Deci, 2000</xref>; <xref ref-type="bibr" rid="ref68">Standage et al., 2003</xref>).</p>
<p>In the present study, perceived social support and achievement goal orientation served as mediators, further illustrating how coaching support promotes athletes&#x2019; focus on task orientation and self-improvement rather than simply seeking external recognition (<xref ref-type="bibr" rid="ref63">Reinboth et al., 2004</xref>). These findings suggest that emotional support from coaches not only enhances athletes&#x2019; sense of psychological security, but also encourages them to set meaningful goals and stay persistent in the face of challenges, which in turn reduces the risk of burnout (<xref ref-type="bibr" rid="ref49">Mageau and Vallerand, 2003</xref>).</p>
<p>In addition, this study highlights the importance of democratic leadership in both team and individual sport programs (<xref ref-type="bibr" rid="ref11">Curran et al., 2015</xref>), where supportive coaching helps athletes to better cope with competitive pressures and increase satisfaction with sport participation, which in turn reduces dropout rates (<xref ref-type="bibr" rid="ref76">Weiss and Ferrer-Caja, 2002</xref>; <xref ref-type="bibr" rid="ref73">Vallerand and Losier, 1999</xref>). These findings support existing hypotheses and are consistent with the established sport psychology literature on the effects of leadership style on athlete behavior.</p>
<sec id="sec13">
<title>The direct effect of coach&#x2019;s leadership style and athletic engagement</title>
<p>The results of the present study found that democratic leadership styles positively predicted athlete engagement, i.e., the more democratic the coach&#x2019;s leadership style, the more focused the athlete engagement. This is consistent with existing findings (<xref ref-type="bibr" rid="ref28">Gunnarsson and &#x00DE;&#x00F3;risson, 2017</xref>; <xref ref-type="bibr" rid="ref9">Calvo and Topa, 2019</xref>). Furthermore, research has shown that authoritarian leadership styles, on the other hand, have a negative effect on athlete engagement, meaning that the more coaches tend to use controlling or high-pressure management styles (<xref ref-type="bibr" rid="ref55">Nasiruddin et al., 2020</xref>), the less engaged athletes are (<xref ref-type="bibr" rid="ref58">Olsson et al., 2022</xref>; <xref ref-type="bibr" rid="ref70">Tait et al., 2020</xref>). This result is consistent with previous research and emphasizes the positive role that democratic leadership styles play in sports teams. By giving athletes more autonomy and participation, democratic leadership styles not only increase their level of engagement, but also enhance team cohesion and satisfaction (<xref ref-type="bibr" rid="ref81">Yasuda, 2019</xref>). <xref ref-type="bibr" rid="ref52">McMorris and Hale (2006)</xref> argued that authoritarian leadership styles may improve discipline and execution in the short term, but in the long term may lead to athlete burnout and an increased psychological stress(<xref ref-type="bibr" rid="ref26">Gra&#x00F1;a et al., 2021</xref>), which in turn affects their athletic performance. The non-significant relationship between authoritarian leadership and athlete engagement may reflect cultural nuances in China&#x2019;s sports environment. Authoritarian coaching, characterized by centralized decision-making, is traditionally prevalent in Chinese sports training systems (<xref ref-type="bibr" rid="ref34">Hou, 2024</xref>). Athletes in this context may normalize strict control as a standard practice, thereby attenuating its negative association with engagement. Future studies should explore contextual moderators to clarify this phenomenon. Such as dynamics and sport type. These findings further support an athlete-centered coaching model that promotes intrinsic motivation and passion for sport through open communication and supportive approaches (<xref ref-type="bibr" rid="ref43">Knight, 2014</xref>).</p>
<p>According to Self-Determination Theory, individuals are more intrinsically motivated when they fulfill autonomy, relatedness, and competence. This study suggests that a democratic leadership style can satisfy athletes&#x2019; need for autonomy and thus intrinsic motivation by empowering them to be more involved. Therefore, coaches can encourage athletes to participate in the training and decision-making process by respecting their opinions and making them feel valued and recognized in the team. This not only helps to increase athletes&#x2019; commitment to their sport, but also enhances their performance in competition and long-term development potential. To foster athlete engagement, sports organizations should prioritize democratic leadership training programs that emphasize collaborative decision-making, open communication, and autonomy support. For instance, coaches could implement weekly team meetings for goal-setting and integrate athlete feedback into training plans. Policymakers might establish mentorship systems pairing experienced democratic coaches with novices to disseminate effective practices. Additionally, institutional support structure should reinforce social support networks to amplify the benefits of democratic leadership.</p>
</sec>
<sec id="sec14">
<title>The mediating role of perceived social support</title>
<p>This study demonstrated that perceived social support partially influenced the relationship between democratic leadership styles and athlete engagement. That is, the more democratic the coach&#x2019;s leadership style, the higher the athlete&#x2019;s level of perceived social support and therefore the higher the state of sport engagement. Furthermore, it was found that the mediating role of perceived social support(<xref ref-type="bibr" rid="ref21">Gabana et al., 2017</xref>) between democratic leadership styles and athlete engagement implies that coaches, by creating supportive and encouraging environments, can enhance athletes&#x2019; sense of belonging and being recognized, which further motivates their sport engagement (<xref ref-type="bibr" rid="ref24">Gayles et al., 2018</xref>). This finding reveals the critical role of social support in enhancing athletes&#x2019; motivation and persistence. Specifically, democratic leadership styles encourage positive interactions among athletes and between athletes and coaches, making them more willing to take on challenges and feel safe and valued on the team (<xref ref-type="bibr" rid="ref20">Fogaca, 2021</xref>). In this atmosphere of high social support, athletes are more inclined to put their own efforts into training and competition because they feel that they are not only playing for themselves, but also for the trust and expectations of their team and coach (<xref ref-type="bibr" rid="ref45">Lee, 2019</xref>). These results suggest that coaches should emphasize the establishment of a supportive team culture when adopting a democratic leadership approach to further enhance athletes&#x2019; psychological security and engagement levels (<xref ref-type="bibr" rid="ref57">Norris et al., 2017</xref>). This approach not only helps to enhance athletic performance, but also reduces athletes&#x2019; anxiety and stress levels, thereby creating better training and competition outcomes.</p>
<p>Based on Social Support Theory (<xref ref-type="bibr" rid="ref36">House et al., 1988</xref>), social support plays an important role in individuals&#x2019; mental health and stress management. This study reveals the key moderating role of perceived l social support between democratic leadership style and athletes&#x2019; sport commitment (<xref ref-type="bibr" rid="ref23">Gao et al., 2021</xref>). Therefore, coaches should actively build supportive relationships to help athletes feel cared for and supported on the team by providing emotional support, recognition, and encouragement. Such a supportive atmosphere not only reduces athletes&#x2019; anxiety, but also enhances their mental toughness, thereby increasing the depth and durability of their athletic engagement.</p>
</sec>
<sec id="sec15">
<title>The mediating role of sense of achievement goal orientation</title>
<p>The results of this study propose that task orientation partially influences the relationship between democratic leadership styles and athlete engagement. That is, the more democratic the coach&#x2019;s leadership style, the higher the self-efficacy and positive psychological state the athletes will exhibit, and therefore the higher their state of sport engagement. Task orientation has a significant impact on athletes&#x2019; physical and mental health. Further, the mediating role of task orientation suggests that a democratic leadership style not only directly affects athlete engagement, but also indirectly contributes to their engagement level by enhancing their self-efficacy and achievement motivation (<xref ref-type="bibr" rid="ref1">Alesi et al., 2019</xref>). When coaches adopt a democratic leadership style, athletes feel recognized for their efforts and accomplishments, which in turn enhances their self-efficacy and adherence to goals (<xref ref-type="bibr" rid="ref5">Barr et al., 2015</xref>). This task-oriented environment allows athletes to focus more on personal growth and skill enhancement rather than solely on winning or losing competitions, which reduces external pressures and enhances long-term commitment and interest in the sport (<xref ref-type="bibr" rid="ref44">Lange-Smith et al., 2024</xref>). By supporting athletes&#x2019; personal goals and developmental pathways, democratic leadership styles help foster intrinsic motivation to maintain a positive mental state and high level of engagement in the face of challenges. Also, task orientation creates a culture within the team that values individual progress and motivates athletes to give their best in the context of psychological well-being (<xref ref-type="bibr" rid="ref15">Domingues et al., 2024</xref>). In summary, this mediating mechanism further emphasizes the importance of a democratic leadership style combined with task-oriented strategies to help achieve more efficient and sustainable athlete development outcomes.</p>
<p>Achievement Goal Theory (<xref ref-type="bibr" rid="ref56">Nicholls, 1984</xref>) emphasizes that task orientation can help individuals seek self-development and skill enhancement in the process. The present study suggests that task orientation plays an important role in the chain of pathways through which democratic leadership styles influence athletic engagement. Coaches should emphasize growth and skill-enhancement goals rather than singularly pursuing performance in their daily training so that athletes focus on personal progress and ability development. This not only enhances athletes&#x2019; self-efficacy, but also enables them to be more focused and engaged in training and competition.</p>
</sec>
<sec id="sec16">
<title>The multiple mediating effects</title>
<p>This study found that perceived social support and task orientation are closely related, and they constitute a chain mediating effect that influences the path of democratic leadership style &#x2192; perceived social support &#x2192; task orientation &#x2192; athlete engagement. That is, the more democratic the coach&#x2019;s leadership style, the higher the level of perceived social support of the athlete, and therefore better task orientation and higher state of athlete engagement. Perceived social support and task orientation are closely related. Higher levels of perceived social support imply that individuals achieve a more positive state in task orienting. Conversely, lower levels of perceived social support represent individuals in a more negative emotional experience in task orienting. This chain-mediated effect reveals how a democratic leadership approach ultimately promotes higher levels of sport engagement by progressively enhancing athletes&#x2019; psychological support and task orientation. Specifically, when coaches adopt a democratic leadership style, athletes perceive higher levels of social support, which not only enhances their sense of psychological safety, but also boosts positive attitudes toward training and competition (<xref ref-type="bibr" rid="ref38">Jawoosh et al., 2022</xref>). In the process, perceived social support provides athletes with emotional support and a sense of belonging, which in turn improves their task orientation to focus more on self-growth and skill development in training rather than being purely outcome-oriented (<xref ref-type="bibr" rid="ref61">Pope and Wilson, 2012</xref>; <xref ref-type="bibr" rid="ref12">De Backer et al., 2021</xref>). Higher levels of social support motivate athletes in task orientation, leading to greater self-confidence and positive responses to challenges, resulting in deeper engagement in sport (<xref ref-type="bibr" rid="ref39">Jiang et al., 2023</xref>). Conversely, lower social support tends to cause athletes to experience negative emotions such as anxiety and stress during task orienting, which in turn inhibits their state of sport engagement (<xref ref-type="bibr" rid="ref65">Roby, 2023</xref>). Furthermore, this chain-mediated mechanism suggests that task orienting serves as a bridge between social support and athletic engagement, and is able to transform the psychological resources from social support into motivation and sustained engagement for athletes, creating positive feedback (<xref ref-type="bibr" rid="ref71">Ulvick, 2015</xref>). Coaches should consider the synergistic effects of social support and task orientation when enhancing athletic performance to promote overall psychological well-being and long-term development of athletes (<xref ref-type="bibr" rid="ref27">Gray, 2022</xref>).</p>
<p>The study demonstrated the chain-mediated effects of perceived social support and task orientation, suggesting that coaches can integrate the two to enhance athletes&#x2019; psychological well-being and sport engagement. This integration strategy is consistent with <xref ref-type="bibr" rid="ref2">Bandura (1977)</xref> theory of self-efficacy, which suggests that by providing positive social support and task orientation, athletes&#x2019; self-efficacy can be enhanced (<xref ref-type="bibr" rid="ref69">Sullivan and Kent, 2003</xref>), resulting in greater self-confidence in the face of challenges. Coaches should provide encouraging feedback and reasonably challenging tasks to progressively enhance athletes&#x2019; skills and mental toughness, ultimately leading to sustained high engagement and performance.</p>
</sec>
<sec id="sec17">
<title>Limitations and implications</title>
<p>This study is not without its limitations. The use of cross-sectional data constrains the ability to establish causal relationships between variables. Additionally, the reliance on convenience sampling introduces potential selection bias, which may affect the generalizability of the findings. Moreover, due to time constraints, the study did not incorporate an intervention component within the questionnaire design. To address these limitations, Future intervention studies could implement short, coach-led workshops that emphasize democratic leadership behaviors to empirically test the chain-mediated pathway identified here. Incorporating an intervention component and conducting follow-up studies would provide more robust evidence to validate the causal relationships among the key variables identified in this research.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec18">
<title>Conclusion</title>
<p>This study examined how democratic leadership styles promote athlete engagement through perceived social support and task orientation, offering novel insights into the psychological and behavioral impact of leadership behaviors. The findings revealed that democratic leadership not only directly enhances athlete engagement but also establishes a clear indirect pathway through perceived social support and task orientation. Notably, task orientation emerged as a critical mediating variable, translating social support into higher intrinsic motivation and engagement by fostering athletes&#x2019; focus and effort toward specific goals. This provides a nuanced perspective on the mechanisms linking leadership styles to athlete performance.</p>
<p>The mediating role of task orientation further underscores that perceived social support extends beyond emotional and psychological benefits, functioning as a psychological mechanism that strengthens athletes&#x2019; self-efficacy and goal focus. By enhancing task orientation, social support promotes positive psychological states and behaviors, ensuring sustained athletic engagement and performance over time.</p>
<p>These findings hold significant practical implications for sports leadership. Coaches are encouraged to adopt democratic leadership practices that elevate athletes&#x2019; perceptions of social support while simultaneously fostering task-oriented behaviors. This dual approach could further unlock athletes&#x2019; potential for enhanced engagement and performance. Future research should explore the longitudinal effects of task orientation and consider moderating factors such as cultural and contextual influences to construct a more comprehensive theoretical framework (<xref ref-type="bibr" rid="ref79">Woods et al., 2020</xref>). By elucidating the mediating role of task orientation, this study contributes to a deeper understanding of how democratic leadership fosters athlete engagement, advancing theoretical and empirical knowledge in sports psychology.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec19">
<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 in the article/<xref ref-type="sec" rid="sec26">Supplementary material</xref>.</p>
</sec>
<sec sec-type="ethics-statement" id="sec20">
<title>Ethics statement</title>
<p>The studies involving humans were approved by the Chengdu University of Physical Education (Approval No. 2024&#x2013;90). 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&#x2019; legal guardians/next of kin.</p>
</sec>
<sec sec-type="author-contributions" id="sec21">
<title>Author contributions</title>
<p>JL: Conceptualization, Data curation, Funding acquisition, Project administration, Software, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. SX: Data curation, Investigation, Resources, Validation, Writing &#x2013; original draft.</p>
</sec>
<sec sec-type="funding-information" id="sec22">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This study was supported by the Major Special Project of the National Social Science Foundation of China 2023 (Project No. 23&#x0026;ZD191), and the Key Project of the Philosophy and Social Science Foundation of Sichuan Province 2024 (SCIJ24ND026).</p>
</sec>
<ack>
<p>The authors would like to thank the participants for their involvement in this study. The authors would also like to take this opportunity to express our sincere acknowledgment to Shuguang Shan for his suggestions.</p>
</ack>
<sec sec-type="COI-statement" id="sec23">
<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="ai-statement" id="sec24">
<title>Generative AI statement</title>
<p>The authors declare that no Gen AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="sec25">
<title>Publisher&#x2019;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>
<sec sec-type="supplementary-material" id="sec26">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/fpsyg.2025.1531049/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/fpsyg.2025.1531049/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table_1.XLSX" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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