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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.2022.858191</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>The effects of health insurance and physical exercise participation on life satisfaction of older people in China&#x02014;Based on CHNS panel data from 2006 to 2015</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Luo</surname> <given-names>Lin</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x02020;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1073509/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Zeng</surname> <given-names>Xiaojin</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x02020;</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Wang</surname> <given-names>Xiangfei</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>College of Physical Education, Guizhou Normal University</institution>, <addr-line>Guiyang</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>Basic Education Research Center, Southwest University</institution>, <addr-line>Chongqing</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>East China Normal University&#x02014;Xuhui Education Group Postdoctoral Workstation</institution>, <addr-line>Shanghai</addr-line>, <country>China</country></aff>
<aff id="aff4"><sup>4</sup><institution>Research Institute of Sports Science, Wuhan Sports University</institution>, <addr-line>Wuhan</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Marcia G. Ory, Texas A&#x00026;M University, United States</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Guifu Chen, Xiamen University, China; Kedsaraporn Kenbubpha, Ministry of Public Health, Thailand</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Xiangfei Wang <email>694009618&#x00040;qq.com</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Aging and Public Health, a section of the journal Frontiers in Public Health</p></fn>
<fn fn-type="equal" id="fn002"><p>&#x02020;These authors share first authorship</p></fn></author-notes>
<pub-date pub-type="epub">
<day>26</day>
<month>08</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>858191</elocation-id>
<history>
<date date-type="received">
<day>19</day>
<month>01</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>11</day>
<month>08</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2022 Luo, Zeng and Wang.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Luo, Zeng and Wang</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>In China, the problem of aging population has become more and more serious. The factors influencing life satisfaction of older people are becoming a significant issue. This study explores the effects of health insurance and physical exercise on life satisfaction of older people in China.</p>
</sec>
<sec>
<title>Method</title>
<p>This study used an unbalanced panel dataset (<italic>n</italic> = 6,393, T = 4) of older adults aged 60&#x02013;80 years from the 2006 to 2015 China Health and Nutrition Survey (CHNS). A panel ordered logistic regression model was developed to examine the effects of health insurance and physical exercise on older people&#x00027; life satisfaction. Mediation tests were used to examine the mediating role of physical exercise in the effect of health insurance on life satisfaction of older people.</p>
</sec>
<sec>
<title>Result</title>
<p>Life satisfaction of older people was positively associated with participation in health insurance (OR = 1.439) and physical exercise (OR = 1.033). Participation in government health insurance, urban employee health insurance (UEBMI), new rural cooperative health insurance (NRCMI), and other commercial health insurance all have positive effects on life satisfaction of older people. Physical exercise plays a masking role in the effect of health insurance on life satisfaction of older people.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>Participation in health insurance and physical exercise are important means to promote life satisfaction among older people. Physical exercise affects the impact of health insurance on older people&#x00027;s life satisfaction.</p>
</sec></abstract>
<kwd-group>
<kwd>older people</kwd>
<kwd>active aging</kwd>
<kwd>physical exercise</kwd>
<kwd>health insurance</kwd>
<kwd>CHNS</kwd>
</kwd-group>
<counts>
<fig-count count="1"/>
<table-count count="3"/>
<equation-count count="0"/>
<ref-count count="79"/>
<page-count count="13"/>
<word-count count="10353"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Over the past three decades, China has experienced rapid economic growth and tremendous demographic change (<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B2">2</xref>). By the end of 2017, China&#x00027;s population aged over 60 reached 241 million, accounting for 17.3% of the total population (<xref ref-type="bibr" rid="B3">3</xref>), with a serious trend of population aging (<xref ref-type="bibr" rid="B4">4</xref>). Actively coping with population aging is not only related to the quality of life of the elderly, but will also have far-reaching effects on the whole society and economy.</p>
<p>The World Health Organization (WHO) adopted the term active aging in the late 1990s and played an important role in its rapid spread (<xref ref-type="bibr" rid="B5">5</xref>). The WHO envisages active aging as a broad process of optimizing opportunities for health, participation, and security to improve the quality of life of people as they age (<xref ref-type="bibr" rid="B6">6</xref>). The WHO states that the goal of active aging is to improve the quality of life of older people (<xref ref-type="bibr" rid="B7">7</xref>). Life satisfaction is not only a subjective perception of older people&#x00027;s living conditions, but also an important indicator of their quality of life (<xref ref-type="bibr" rid="B8">8</xref>). Therefore, a more detailed and in-depth study of the factors influencing the life satisfaction of older people will help to further improve the quality of life of older people and has important practical significance in promoting the formulation of public policies on active aging.</p>
</sec>
<sec id="s2">
<title>Literature review</title>
<sec>
<title>Factors influencing the life satisfaction of older people</title>
<p>In addition to reflecting an individual&#x00027;s life evaluation of emotions, happiness, and subjective wellbeing, life satisfaction indirectly reflects an individual&#x00027;s perception and judgement of the difference between their expectations and the reality of their quality of life (<xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B10">10</xref>). Changes in older people&#x00027;s life satisfaction are a complex and dynamic process that may be the result of a combination of subtle individual and environmental changes over time (<xref ref-type="bibr" rid="B6">6</xref>). As the process of population aging continues, the factors influencing older people&#x00027;s life satisfaction have received increasing attention.</p>
<p>Research findings are inconsistent in terms of the impact of gender on life satisfaction among older adults. Li and Liu and Du and Wang found that older men had lower life satisfaction than women (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B12">12</xref>). Akifusa et al. found that older men were more satisfied with their lives than women (<xref ref-type="bibr" rid="B13">13</xref>). Massey et al. found no significant relationship between gender and life satisfaction in older people (<xref ref-type="bibr" rid="B14">14</xref>). In terms of the effect of age on life satisfaction among older people, Angelini et al. and Liu et al. found a positive relationship between age and life satisfaction among older people (<xref ref-type="bibr" rid="B15">15</xref>, <xref ref-type="bibr" rid="B16">16</xref>), but Li et al. only observed this relationship in older people aged 80 years and above (<xref ref-type="bibr" rid="B11">11</xref>). George et al. found little age variability in life satisfaction among older adults (<xref ref-type="bibr" rid="B17">17</xref>). Although Li et al. and Du and Wang found that life satisfaction was higher among urban older people than rural older people in the early years (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B12">12</xref>). However, the gap in life satisfaction between the urban and rural elderly populations is gradually narrowing as people&#x00027;s income levels in rural areas increase (<xref ref-type="bibr" rid="B12">12</xref>). In terms of the effect of spouse status on older adults&#x00027; life satisfaction, Massey et al. and Liu et al. found that older adults with a spouse had higher life satisfaction (<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B16">16</xref>). However, Li et al. found that spousal status did not significantly affect older adults&#x00027; life satisfaction (<xref ref-type="bibr" rid="B11">11</xref>). Li et al. and Du and Wang found that educational attainment had a significant positive impact on older people&#x00027;s life satisfaction (<xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B12">12</xref>). However, Knight et al. found that educational attainment <italic>per se</italic> did not affect older people&#x00027;s life satisfaction. It is the other material and spiritual income gained through education that is an important factor in older people&#x00027;s life satisfaction (<xref ref-type="bibr" rid="B18">18</xref>). In terms of the relationship between income and life satisfaction, Wu and Chen found a &#x0201C;threshold effect&#x0201D; between income levels and older people&#x00027;s life satisfaction, with the effect of income on life satisfaction decreasing after a certain level is reached (<xref ref-type="bibr" rid="B19">19</xref>). Tavares&#x00027; study found that income was a driver of life satisfaction among older people (<xref ref-type="bibr" rid="B20">20</xref>). In terms of the impact of health status on life satisfaction in older adults, Celso et al. and Celik et al. found a statistically significant relationship between health status and life satisfaction in older adults (<xref ref-type="bibr" rid="B21">21</xref>, <xref ref-type="bibr" rid="B22">22</xref>). Jung et al. found that older adults with chronic conditions had significantly lower life satisfaction compared to those without chronic conditions (<xref ref-type="bibr" rid="B23">23</xref>). Wiesmann et al. found that the higher the number of chronic conditions, the lower the life satisfaction scores of older people (<xref ref-type="bibr" rid="B24">24</xref>). There are also environmental factors that may have an impact on the life satisfaction of older people. There are also environmental factors that may have an impact on the life satisfaction of older people. For example, Proto et al. found that regional GDP also influences people&#x00027;s life satisfaction (<xref ref-type="bibr" rid="B25">25</xref>). Rajani et al. (<xref ref-type="bibr" rid="B26">26</xref>) found that higher GDP was associated with higher life satisfaction scores. Dingemans et al., however, found that in regions with poorer GDP, it was continuing to work after retirement that had a positive effect on older people&#x00027;s life satisfaction (<xref ref-type="bibr" rid="B27">27</xref>). In summary, existing studies have found that gender, age, educational attainment, income, Chronic disease, GDP, and work after retirement may all have a significant impact on older people&#x00027;s life satisfaction.</p>
</sec>
<sec>
<title>Health insurance and life satisfaction of older people</title>
<p>Chinese scholars have used data from the China Longevity Health Influence Survey (CLHLS), the China Health and Aging Tracking Survey (CHARLS), the China Sample Survey on the Living Conditions of the Elderly in Urban and Rural Areas (SSAPUR), the China Elderly Social Tracking Survey (CLASS), the Sixth Population Census, or survey data collected independently by researchers to conduct an in-depth study of older people&#x00027;s Life satisfaction has been explored in depth. Easterlin et al., Walker, and Li et al., found that although economic development has led to a significant increase in life satisfaction among Chinese residents, the growth trend of their life satisfaction has been declining (<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B5">5</xref>, <xref ref-type="bibr" rid="B9">9</xref>). Yu et al., Appleton et al., and Knight et al., found that changes in life satisfaction among Chinese residents were mainly related to two factors: the transition of the Chinese economy (from a planned to a free market economy) accompanied by an increase in income inequality and the disintegration of the traditional social security system (<xref ref-type="bibr" rid="B28">28</xref>&#x02013;<xref ref-type="bibr" rid="B30">30</xref>). Wang et al. found that despite the increase in household income among urban residents, income inequality and fear of unemployment reduced their life satisfaction (<xref ref-type="bibr" rid="B31">31</xref>). Ng et al. found that the change in the social security system from an employer-based system to an insurance-based system led to uncertainty about unemployment, which in turn reduced people&#x00027;s life satisfaction (<xref ref-type="bibr" rid="B32">32</xref>). Wang et al. and WTO found that this inequality and insecurity was particularly present among vulnerable groups, such as the elderly and economically economically disadvantaged people (<xref ref-type="bibr" rid="B31">31</xref>, <xref ref-type="bibr" rid="B33">33</xref>).</p>
<p>Older people are often particularly concerned about the disintegration of the traditional social security system and the high cost of health care in a market-oriented healthcare system. As older people age, they are at high risk of deteriorating health status. For example, Cai and Wang found that over 100 million people aged 60 and over suffered from at least one chronic disease (e.g., stroke, heart disease). Approximately 5 million older people suffer from mental health problems (e.g., depression and dementia) (<xref ref-type="bibr" rid="B34">34</xref>). Health insurance is therefore particularly important for older people with chronic diseases and other illnesses, and can go some way to safeguarding their quality of life (<xref ref-type="bibr" rid="B33">33</xref>). Yip and Hsiao point out that the cost of healthcare services has been rising under the influence of economic restructuring and the marketisation of the healthcare delivery system (<xref ref-type="bibr" rid="B35">35</xref>). Data from the World Bank shows that more and more elderly people are falling into poverty due to high out-of-pocket health care costs (<xref ref-type="bibr" rid="B36">36</xref>). Li and Liu found that in 2008 &#x0007E;31% of rural older people reported that they were unable to access adequate health services (<xref ref-type="bibr" rid="B11">11</xref>). Sun et al. found that 14% of urban older self-reported illnesses were the main cause of financial insecurity (<xref ref-type="bibr" rid="B37">37</xref>).</p>
<p>In response to this situation, the Chinese government has initiated a series of comprehensive health insurance system reforms to provide basic health insurance services to all citizens, including the elderly. In 2003 and 2007, the New Rural Cooperative Medical Scheme (NCMS) and the Urban Residents Basic Health Insurance (URBMI) for rural residents were set up. Together with the Government Health Insurance (GMI) and the Urban Employees&#x00027; Health Insurance (UEMI) for staff of government agencies or state institutions, they form the country&#x00027;s universal health insurance system. Older people in particular also benefit from the government&#x00027;s expanded health insurance services. In 2012, Sun et al. found that 98.4% of older Chinese reported being covered by some kind of health insurance (<xref ref-type="bibr" rid="B37">37</xref>).</p>
<p>Although the coverage and scope of different health insurance schemes vary, studies by Keng et al. and Tran et al. found that access to health insurance can counter the insecurity associated with health shocks and uncertainty about health expenditures. This is particularly important for older people who are at greater risk of deteriorating health and financial status (<xref ref-type="bibr" rid="B38">38</xref>, <xref ref-type="bibr" rid="B39">39</xref>). Rao and Gao found that people with health insurance tended to make greater use of health services and reported better health and wellbeing (<xref ref-type="bibr" rid="B40">40</xref>). Wu and Li found that health insurance could help older people feel secure and was positively associated with their physical and mental health (<xref ref-type="bibr" rid="B41">41</xref>). Kim and Koh found that lack of health insurance had a negative impact on the subjective wellbeing of the general population after controlling for individual self-assessed health status and other socioeconomic factors (<xref ref-type="bibr" rid="B42">42</xref>). While the aim of universal health coverage is to ensure equal access to health services, Liao et al. found that universal health coverage also improved subjective wellbeing among older people, particularly older women (<xref ref-type="bibr" rid="B43">43</xref>). A previous study by Yang and Hanewald reported that the life satisfaction of middle-aged and older Chinese (aged 45&#x02013;60 years) was not related to whether they had health insurance, but rather to the type of health insurance they chose. Compared to residents who participated in government health insurance, those who participated in urban employees&#x00027; health insurance, urban residents&#x00027; health insurance and the New Agricultural Cooperative had lower life satisfaction scores of 0.155, 0.106, and 0.112 standard deviations, respectively (<xref ref-type="bibr" rid="B44">44</xref>).</p>
</sec>
<sec>
<title>Physical exercise and life satisfaction of older people</title>
<p>Physical exercise is an active and healthy lifestyle. Physical exercise can have physiological, psychological and social effects. Reyes et al. and Leitner and Leitner found a positive relationship between Physical exercise and personal life satisfaction (<xref ref-type="bibr" rid="B45">45</xref>, <xref ref-type="bibr" rid="B46">46</xref>). Sardeli et al. and Papi and Cheraghi found that greater acquisition of physical ability can promote individuals to have a sense of competence and increased motivation to make motivation to make decisions. This in turn promotes intrinsic motivation through the achievement of practical satisfaction (<xref ref-type="bibr" rid="B47">47</xref>, <xref ref-type="bibr" rid="B48">48</xref>). Physical exercise is a self-selected experience with a sense of freedom and intrinsic motivation. In addition, Physical exercise may have additional health benefits for older adults. Hao et al. and Dai and Yao found that Physical exercise increased muscle mass, reduced the risk of fat and obesity, improved balance and reduced fear of falling in older adults (<xref ref-type="bibr" rid="B49">49</xref>, <xref ref-type="bibr" rid="B50">50</xref>). Papi and Cheraghi and Liao et al. found that older adults&#x00027; cognitive abilities, such as short-term and long-term memory, verbal reasoning and risk of cognitive impairment, were also positively influenced by Physical exercise (<xref ref-type="bibr" rid="B48">48</xref>, <xref ref-type="bibr" rid="B51">51</xref>). However, previous literature suggests that not all Physical exercise contributes to life satisfaction in older adults. Life satisfaction may depend on the type of exercise or the duration of the exercise. For example, Mudr&#x000E1;k et al. found a significant relationship between participation in Physical exercise and life satisfaction. Participants who achieved the recommended level of Physical exercise (moderate and/or vigorous exercise) were more satisfied with their lives (<xref ref-type="bibr" rid="B52">52</xref>). In a Swedish study of 176 community-dwelling older adults, Hao et al. found that older participants in the moderate and vigorous Physical exercise groups had higher life satisfaction than those in the low Physical exercise group (<xref ref-type="bibr" rid="B49">49</xref>). However, there are studies with different perspectives, such as Dai and Yao, which found no direct relationship between Physical exercise and life satisfaction in older adults. Physical exercise only indirectly influences older people&#x00027;s life satisfaction through self-efficacy and the support of friends (<xref ref-type="bibr" rid="B50">50</xref>).</p>
<p>Numerous scholars have conducted a large number of studies on life satisfaction among the elderly and its influencing factors, from which it can be concluded that the influencing factors of life satisfaction among the elderly may be complex, involving various aspects of the individual, family and society. Existing research has begun to actively focus on the relationship between health insurance and life satisfaction among older people. However, the relationship between health insurance participation and life satisfaction among older people over 60 years of age in China is not yet clear. Also, further confirmation is needed as to whether physical exercise also has a positive effect on enhancing life satisfaction among older people in China. In terms of data, scholars have mostly used census data, sample survey data or tracking survey data for their analyses, however, most studies have used cross-sectional data for their analyses. The limited sample size of survey data other than census makes it difficult to achieve panel data studies with large samples. In terms of research methods, descriptive statistical analysis, logistic regression models and other generalized linear models or multiple linear regression analysis are mostly used. Although significant factors affecting the life satisfaction of older people can be identified, it is difficult to control for variables that do not change over time and to identify the significant influencing factors that cause changes in life satisfaction of older people. In view of this, this study uses the theory of &#x0201C;active coping theory&#x0201D; as the theoretical support to explore the effects of health insurance coverage and physical exercise participation on older people&#x00027;s life satisfaction based on previous studies. At the same time, based on the China Health and Nutrition Survey (CHNS) data from 2006 to 2015, a random effects ordered logistic regression model is used to analyse the large sample panel data, which can control for individual heterogeneity and identify potential factors affecting changes in life satisfaction of the elderly, and then determine the effects and mechanisms of health insurance participation and physical exercise participation on life satisfaction of the elderly. This study will provide a reference for the formulation of public policies on active aging.</p>
</sec>
</sec>
<sec id="s3">
<title>Research hypothesis</title>
<p>In 1997, Aspinwall and Taylor introduced the well-known &#x0201C;active coping theory,&#x0201D; which considers active coping as efforts made before a potentially stressful event occurs (<xref ref-type="bibr" rid="B53">53</xref>). Parada and Verlhiac define coping as activities that master, tolerate, reduce, or minimize environmental or psychological demands (<xref ref-type="bibr" rid="B54">54</xref>). There are important differences between active coping and anticipatory coping for stressful events. Active coping refers to the need for skills and activities that are different from, and potentially more successful than, coping with an existing stressor prior to coping and anticipatory coping. Lee et al. argue that active coping theory can provide an adequate theoretical context for Physical exercise and health insurance participation among older adults (<xref ref-type="bibr" rid="B55">55</xref>). Older adults have potential health and economic stressors due to their declining physical and economic status. Therefore, Salamene et al. suggest that physical exercise and health insurance participation can be seen as a positive coping behavior and a positive action to prevent future health stress (<xref ref-type="bibr" rid="B56">56</xref>). Based on active coping theory and combined with the findings of previous studies, this study proposes the following hypotheses.</p>
<p><italic>H1</italic>: Participation in health insurance is positively associated with life satisfaction among older adults.</p>
<p><italic>H2</italic>: Physical exercise participation is positively associated with life satisfaction among older adults.</p>
<p>In addition, Salamene et al. found that older adults&#x00027; coping resources and current health status can significantly influence active coping styles (<xref ref-type="bibr" rid="B56">56</xref>). Physical and mental health of older adults found by Cao and Lu (<xref ref-type="bibr" rid="B57">57</xref>) and Lawless et al. (<xref ref-type="bibr" rid="B58">58</xref>) can influence physical exercise behavior. Hyun and Ku, Vannini et al., and Aldwin et al. found that coping resources such as income (<xref ref-type="bibr" rid="B59">59</xref>), education (<xref ref-type="bibr" rid="B60">60</xref>), and other factors that may influence stressors (<xref ref-type="bibr" rid="B61">61</xref>), such as chronic illness, may also influence older adults&#x00027; physical exercise behavior. Blanco-Molina et al. found that health insurance was one of the factors that may influence one of the factors of stressors (<xref ref-type="bibr" rid="B62">62</xref>). Therefore, health insurance may also influence physical exercise behavior of older adults. For example, de Boer et al. found that societies with a higher proportion of sports club members had lower average health insurance consumption (<xref ref-type="bibr" rid="B63">63</xref>). Cheah et al. found that exercisers who participated in sporting activities were more likely to have health insurance (<xref ref-type="bibr" rid="B64">64</xref>), which may of course be related to the potentially higher socioeconomic status of the participants. Zhang et al. found in values for older adults aged 55&#x02013;75 years that those with more health insurance had less physical exercise behavior compared to the group without health insurance (<xref ref-type="bibr" rid="B65">65</xref>). While it is not possible to determine whether participation in health insurance has a positive effect on physical exercise among older adults based on the available studies, it can be hypothesized that health insurance can influence individuals&#x00027; physical exercise behavior. Therefore, physical exercise may be a mediating variable in the mechanism of the effect of health insurance participation on life satisfaction of older adults. To this end, the following hypotheses were formulated for this study.</p>
<p><italic>H3</italic>: The impact of physical exercise-mediated health insurance participation on older people&#x00027;s life satisfaction.</p>
<p>Based on theoretical assumptions, a theoretical model was developed for this study (see <xref ref-type="fig" rid="F1">Figure 1</xref>). The model suggests that health insurance participation can directly affect older people&#x00027;s life satisfaction (path a). Physical exercise can directly affect older people&#x00027;s life satisfaction (path b). And participation in health insurance can indirectly affect older people&#x00027;s life satisfaction through physical exercise (path c). Other factors such as gender, age, education level, health status, urban/rural category, spousal status, annual income, and regional economic development may also influence older people&#x00027;s life satisfaction (path d).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Theoretical assumptions model.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpubh-10-858191-g0001.tif"/>
</fig>
</sec>
<sec id="s4">
<title>Research subjects and methods</title>
<sec>
<title>Research sample</title>
<p>This study used original data from the China Health and Nutrition Tracking Survey (CHNS) conducted by the Population Center of the University of Carolina at Chapel Hill and the Chinese Center for Disease Control and Prevention since 1989 (<xref ref-type="bibr" rid="B66">66</xref>). The CHNS is longitudinal and includes 1989, 1991, 1993, 1997, 2000, 2004, 2006, 2009, 2011, and 2015, with a total of 10 waves covering nine provinces (Heilongjiang, Liaoning, Jiangsu, Shandong, Henan, Henan, Hubei, Hunan, Guangxi, and Guizhou) and three autonomous cities (Beijing, Shanghai, and Chongqing). The questionnaires used in each wave were kept as similar as possible.</p>
<p>In order to achieve the aims of the study, the research team used three criteria to limit the sample for the study. Firstly, the CHNS survey team has only been studying people&#x00027;s physical exercise since 2004 and their life satisfaction since 2006. Therefore, this study aimed to use data from 2006 and onwards for the analysis of the study. Secondly, given the timing of retirement and the actual physical exercise of most Chinese residents, the age range of the study population was restricted to 60&#x02013;80 years. Thirdly, those with limitations in activities of daily living were excluded. After considering these inclusion and exclusion criteria and after data cleaning, this study resulted in an unbalanced short panel dataset (<italic>n</italic> = 6393, T = 4).</p>
</sec>
<sec>
<title>Dependent and independent variables</title>
<p>CHNS used the question &#x0201C;How do you feel about your life now?&#x0201D; to survey the life satisfaction of older people (<xref ref-type="bibr" rid="B67">67</xref>). This study defines the sum of various health-related insurance policies purchased by residents as the main explanatory variable health insurance for this study. The CHNS survey on individual health insurance covers various types of health insurance, including Urban Employees&#x00027; Health Insurance (UEBMI), New Rural Cooperative Health Insurance (NRCMI), Urban Residents&#x00027; Basic Health Insurance (URBMI), and the purchase of various commercial health insurance policies. The Urban Employees&#x00027; Health Insurance (<xref ref-type="bibr" rid="B68">68</xref>) is a medical benefit provided to employees of Chinese companies, but the amount of contribution varies from company to company. In addition to the company&#x00027;s contribution, individuals are also required to pay a portion of their own costs. The New Rural Cooperative Health Insurance Scheme is a highly subsidized voluntary health insurance scheme (<xref ref-type="bibr" rid="B69">69</xref>). The Basic Health Insurance for Urban Residents is a subsidized voluntary public health insurance scheme introduced by the Chinese government for urban residents who are not formally employed (<xref ref-type="bibr" rid="B70">70</xref>). There are some differences in the categorization of health-related insurance surveys conducted by CHNS in different years. And with reference to the relevant category settings of the 2015 questionnaire, this study combined the insurance categories of health insurance for the elderly into three categories: employee health insurance (EMI), resident health insurance (RMI) (both NPS and resident) and commercial health insurance (CHI).Thus, the &#x0201C;health insurance&#x0201D; variable in the study is actually a combination of RMI, EMI, and CHI. In addition, a focus on annual individual health insurance premiums (including all types of health insurance premiums paid by individuals) was added. The CHNS survey covers questions on physical exercise participation, including how much time residents spend on martial arts (kung fu, etc.), gymnastics, dance, acrobatics, athletics (running), swimming, football, basketball, tennis, badminton, volleyball, and other sports. It asks all older people &#x0201C;How much time (minutes) do you spend on average each day doing the following physical activities, Monday to Friday or Saturday to Sunday? In this study, the time spent by older people on physical exercise during the week was aggregated and named as physical exercise (minutes/week).</p>
</sec>
<sec>
<title>Covariates</title>
<p>In this study, gender, age, education level, spouse status, place of residence, chronic illness, annual income, GDP per capita, and work were selected as Covariates. With reference to Cheng&#x00027;s study (<xref ref-type="bibr" rid="B68">68</xref>), GDP per capita in this study was used as the source of data from the China Urban Statistical Yearbook published by the National Bureau of Statistics in the current year. This study also controls for the dummy variables of province and occupation of the study population.</p>
</sec>
<sec>
<title>Description of variables</title>
<p>Annual income, GDP per capita, physical exercise, and health insurance premiums were continuous variables in this study and their logarithmic form was used when included in the analytical model. The remaining variables are categorical, with life satisfaction being an ordered categorical variable. The results of the descriptive analysis of the study variables are shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Descriptive statistics for variables (<italic>n</italic> = 6,393).</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="left"><bold>Description</bold></th>
<th valign="top" align="center"><bold><italic>Mean (SD)</italic></bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Health insurance participation</td>
<td valign="top" align="left">EMI/RMI/CHI (No = 0, Yes = 1)</td>
<td valign="top" align="center">0.874 (0.276)</td>
</tr>
<tr>
<td valign="top" align="left">Health insurance premium</td>
<td valign="top" align="left">The total annual payment of individual healthl insurance (RMB). Take the logarithm for analysis</td>
<td valign="top" align="center">175.203 (0.802)</td>
</tr>
<tr>
<td valign="top" align="left">EMI</td>
<td valign="top" align="left">Government Health Insurance (GMI)/UEBMI(No = 0, Yes = 1)</td>
<td valign="top" align="center">0.240 (0.406)</td>
</tr>
<tr>
<td valign="top" align="left">RMI</td>
<td valign="top" align="left">NRCMI/URBMI(No = 0, Yes = 1)</td>
<td valign="top" align="center">0.596 (0.446)</td>
</tr>
<tr>
<td valign="top" align="left">CHI</td>
<td valign="top" align="left">Various commercial health insurance/commercial medical insurance (No = 0, Yes = 1)</td>
<td valign="top" align="center">0.021 (0.125)</td>
</tr>
<tr>
<td valign="top" align="left">Life satisfaction</td>
<td valign="top" align="left">How do you think your life is now? (1 = very bad &#x0007E; 5 = very good)</td>
<td valign="top" align="center">3.595 (0.763)</td>
</tr>
<tr>
<td valign="top" align="left">Gender</td>
<td valign="top" align="left">Male = 0, Female = 1</td>
<td valign="top" align="center">0.527 (0.499)</td>
</tr>
<tr>
<td valign="top" align="left">Age (year)</td>
<td valign="top" align="center">60&#x02013;64 = 1; 65&#x02013;69 = 2; 70&#x02013;74 = 3; 75&#x02013;80 = 4</td>
<td valign="top" align="center">2.140 (1.050)</td>
</tr>
<tr>
<td valign="top" align="left">Education attainment</td>
<td valign="top" align="left">Primary school and below = 1; Junior high school = 2; High School/Higher Vocational School/Secondary School = 3; College and above = 4</td>
<td valign="top" align="center">1.602 (0.908)</td>
</tr>
<tr>
<td valign="top" align="left">Spouse status</td>
<td valign="top" align="left">None (single, divorced) = 0, Yes (married, separated, widowed) = 1</td>
<td valign="top" align="center">0.983 (0.123)</td>
</tr>
<tr>
<td valign="top" align="left">Residence</td>
<td valign="top" align="left">City = 0, Rural = 1</td>
<td valign="top" align="center">0.505 (0.484)</td>
</tr>
<tr>
<td valign="top" align="left">Chronic disease</td>
<td valign="top" align="left">Whether you have high blood pressure, diabetes, myocardial infarction, stroke, tumor, asthma? (No = 0, Yes = 1, total number of diseases)</td>
<td valign="top" align="center">0.251 (0.408)</td>
</tr>
<tr>
<td valign="top" align="left">Annual income</td>
<td valign="top" align="left">Annual salary income &#x0002B; annual bonus &#x0002B; annual pension &#x0002B; annual income from other sources (RMB). Take the logarithm for analysis</td>
<td valign="top" align="center">12350.240 (3285.940)</td>
</tr>
<tr>
<td valign="top" align="left">GDP per capita</td>
<td valign="top" align="left">GDP per capita (RMB). Take the logarithm for analysis</td>
<td valign="top" align="center">41422.860 (5787.601)</td>
</tr>
<tr>
<td valign="top" align="left">Physical exercise (PE)</td>
<td valign="top" align="left">Average weekly physical exercise time (min/week)</td>
<td valign="top" align="center">157.580 (394.511)</td>
</tr>
<tr>
<td valign="top" align="left">Job</td>
<td valign="top" align="left">Are you still working? No = 0, Yes = 1</td>
<td valign="top" align="center">0.223 (0.363)</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec>
<title>Statistical methods</title>
<p>This study used STATA 16.0 software for statistical processing of the survey data. Logistic regression models were used in analyzing the effects of physical exercise and health insurance participation on the life satisfaction of older people. CHNS is an unbalanced panel. This study conducted a joint F-test for time effects and found no significant time effect (<italic>p</italic> = 0.419) on the change in life satisfaction of older people. A Sobel test was used to analyse the mediating effect of participation in health insurance on the life satisfaction of older people.</p>
</sec>
<sec>
<title>Ethics, approval, and informed consent</title>
<p>We used the public dataset from CHNS official website (<ext-link ext-link-type="uri" xlink:href="https://www.cpc.unc.edu/projects/china">https://www.cpc.unc.edu/projects/china</ext-link>). Therefore, the Academic Committee of the School of Physical Education of Guizhou Normal University waived the requirement for ethical approval. CHNS provides interviewees with guarantees of privacy and confidentiality. All participants provided written informed consent. Detailed information about the research design is on its official website.</p>
</sec>
</sec>
<sec id="s5">
<title>Result</title>
<sec>
<title>Factors influencing the life satisfaction of older people</title>
<p>Before conducting an ordered logistic regression model analysis, in order for the model to fit better, the relationship between the independent and dependent variables needs to be tested first and unnecessary variables eliminated. The stepwise regression analysis revealed no significant relationship between gender, spouse status and life satisfaction of the elderly, so these two variables were excluded. To prevent endogeneity, the variables needed to be tested for independence from each other and the absence of multicollinearity. Therefore, the study continued with the regression analysis of the remaining independent and dependent variables, and all independent variables had VIF &#x0003C; 10 and 1/VIF &#x0003E; 0.1, suggesting that there was no serious co-linearity between the independent variables. The study included all independent variables, except gender and spouse status, in the subsequent analysis model. This study used a random effects ordered logistic regression model to analyse the factors influencing life satisfaction among older people, with the output being the Odds Ratio (OR) (see <xref ref-type="table" rid="T2">Table 2</xref>). Model (1) is a regression of age, education attainment, residence, chronic disease, log annual income, log GDP, and job on life satisfaction. Model (2) is a regression incorporating log health insurance premiums based on model (1). Model (3) is a regression that incorporates health insurance participation based on model (1). Model (4) is a regression based on model (1) that continues to include different health insurance participation. Model (5) is a regression based on model (3) that continues to include log physical exercise. All regression models control for dummy variables for individual&#x00027;s previous occupation and province.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Results of randomized ordered logistic regression of factors influencing older people&#x00027;s life satisfaction (<italic>n</italic> = 6,393).</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="center" colspan="5" style="border-bottom: thin solid #000000;"><bold>Health insurance participation</bold></th>
</tr>
<tr>
<th/>
<th valign="top" align="center"><bold>Model (1)</bold></th>
<th valign="top" align="center"><bold>Model (2)</bold></th>
<th valign="top" align="center"><bold>Model (3)</bold></th>
<th valign="top" align="center"><bold>Model (4)</bold></th>
<th valign="top" align="center"><bold>Model (5)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><bold>Age</bold><sup><bold>a</bold></sup></td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">65&#x02013;69</td>
<td valign="top" align="center">0.910<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (0.042)</td>
<td valign="top" align="center">0.911<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (0.042)</td>
<td valign="top" align="center">0.915<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (0.042)</td>
<td valign="top" align="center">0.918<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (0.042)</td>
<td valign="top" align="center">0.913<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (0.042)</td>
</tr>
<tr>
<td valign="top" align="left">70&#x02013;74</td>
<td valign="top" align="center">0.859<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.046)</td>
<td valign="top" align="center">0.859<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.046)</td>
<td valign="top" align="center">0.862<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.046)</td>
<td valign="top" align="center">0.859<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.046)</td>
<td valign="top" align="center">0.864<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.046)</td>
</tr>
<tr>
<td valign="top" align="left">75&#x02013;80</td>
<td valign="top" align="center">0.840<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.050)</td>
<td valign="top" align="center">0.841<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.051)</td>
<td valign="top" align="center">0.849<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.051)</td>
<td valign="top" align="center">0.843<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.051)</td>
<td valign="top" align="center">0.858<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.051)</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Education attainment</bold><sup><bold>b</bold></sup></td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Middle school</td>
<td valign="top" align="center">1.382<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.078)</td>
<td valign="top" align="center">1.382<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.075)</td>
<td valign="top" align="center">1.365<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.074)</td>
<td valign="top" align="center">1.343<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.074)</td>
<td valign="top" align="center">1.330<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.074)</td>
</tr>
<tr>
<td valign="top" align="left">High/Higher Vocational/Secondary School</td>
<td valign="top" align="center">1.865<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.132)</td>
<td valign="top" align="center">1.862<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.124)</td>
<td valign="top" align="center">1.828<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.122)</td>
<td valign="top" align="center">1.756<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.122)</td>
<td valign="top" align="center">1.736<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.122)</td>
</tr>
<tr>
<td valign="top" align="left">College and above</td>
<td valign="top" align="center">1.912<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.202)</td>
<td valign="top" align="center">1.917<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.185)</td>
<td valign="top" align="center">1.872<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.180)</td>
<td valign="top" align="center">1.775<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.180)</td>
<td valign="top" align="center">1.749<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.180)</td>
</tr>
<tr>
<td valign="top" align="left">Residence<sup>c</sup></td>
<td valign="top" align="center">0.709<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.036)</td>
<td valign="top" align="center">0.707<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (0.039)</td>
<td valign="top" align="center">0.711<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.044)</td>
<td valign="top" align="center">0.758<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.044)</td>
<td valign="top" align="center">0.745<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.044)</td>
</tr>
<tr>
<td valign="top" align="left">Chronic disease</td>
<td valign="top" align="center">0.763<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.041)</td>
<td valign="top" align="center">0.763<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.041)</td>
<td valign="top" align="center">0.764<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.041)</td>
<td valign="top" align="center">0.759<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.041)</td>
<td valign="top" align="center">0.770<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.041)</td>
</tr>
<tr>
<td valign="top" align="left">Ln annual income</td>
<td valign="top" align="center">1.009<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (0.003)</td>
<td valign="top" align="center">1.009<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (0.003)</td>
<td valign="top" align="center">1.009<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (0.003)</td>
<td valign="top" align="center">1.009<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (0.003)</td>
<td valign="top" align="center">1.009<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (0.003)</td>
</tr>
<tr>
<td valign="top" align="left">Ln GDP</td>
<td valign="top" align="center">1.488<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.068)</td>
<td valign="top" align="center">1.476<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.068)</td>
<td valign="top" align="center">1.330<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.069)</td>
<td valign="top" align="center">1.323<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.069)</td>
<td valign="top" align="center">1.185<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.069)</td>
</tr>
<tr>
<td valign="top" align="left">Job<sup>d</sup></td>
<td valign="top" align="center">3.350<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (1.684)</td>
<td valign="top" align="center">3.354<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (1.839)</td>
<td valign="top" align="center">3.223<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (1.847)</td>
<td valign="top" align="center">3.195<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (1.767)</td>
<td valign="top" align="center">3.531<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (1.767)</td>
</tr>
<tr>
<td valign="top" align="left">Ln Health insurance premium</td>
<td/>
<td valign="top" align="center">1.001 (0.005)</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Health insurance participation<sup>e</sup></td>
<td/>
<td/>
<td valign="top" align="center">1.404<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.094)</td>
<td/>
<td valign="top" align="center">1.439<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;</sup></xref> (0.097)</td>
</tr>
<tr>
<td valign="top" align="left">EMI<sup>f</sup></td>
<td/>
<td/>
<td/>
<td valign="top" align="center">1.506<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.108)</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">RMI<sup>i</sup></td>
<td/>
<td/>
<td/>
<td valign="top" align="center">1.208<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.083)</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">CHI<sup>j</sup></td>
<td/>
<td/>
<td/>
<td valign="top" align="center">1.581<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.207)</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">Ln PE</td>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center">1.033<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.004)</td>
</tr> <tr style="border-top: thin solid #000000;">
<td valign="top" align="left"><bold>Dummy province variable</bold></td>
<td valign="top" align="center" colspan="5"><bold>Control</bold></td>
</tr> <tr style="border-top: thin solid #000000;">
<td valign="top" align="left">Cut1</td>
<td valign="top" align="center">&#x02212;1.069 (0.519)</td>
<td valign="top" align="center">&#x02212;1.156 (0.544)</td>
<td valign="top" align="center">&#x02212;1.952 (0.607)</td>
<td valign="top" align="center">&#x02212;2.081 (0.617)</td>
<td valign="top" align="center">&#x02212;3.156 (0.638)</td>
</tr>
<tr>
<td valign="top" align="left">Cut2</td>
<td valign="top" align="center">1.041 (0.514)</td>
<td valign="top" align="center">&#x02212;0.955 (0.538)</td>
<td valign="top" align="center">0.161 (0.602)</td>
<td valign="top" align="center">0.313 (0.612)</td>
<td valign="top" align="center">&#x02212;1.042 (0.633)</td>
</tr>
<tr>
<td valign="top" align="left">Cut3</td>
<td valign="top" align="center">3.929 (0.516)</td>
<td valign="top" align="center">23.842 (0.540)</td>
<td valign="top" align="center">3.049 (0.603)</td>
<td valign="top" align="center">2.921 (0.613)</td>
<td valign="top" align="center">1.845 (0.633)</td>
</tr>
<tr>
<td valign="top" align="left">Cut4</td>
<td valign="top" align="center">6.112 (0.519)</td>
<td valign="top" align="center">6.025 (0.542)</td>
<td valign="top" align="center">5.231 (0.605)</td>
<td valign="top" align="center">5.108 (0.614)</td>
<td valign="top" align="center">4.031 (0.635)</td>
</tr>
<tr>
<td valign="top" align="left">Sigma_u</td>
<td valign="top" align="center">0.772 (0.069)</td>
<td valign="top" align="center">0.772 (0.069)</td>
<td valign="top" align="center">0.759 (0.068)</td>
<td valign="top" align="center">0.765 (0.068)</td>
<td valign="top" align="center">0.746 (0.068)</td>
</tr>
<tr>
<td valign="top" align="left">Wald test value</td>
<td valign="top" align="center">1061.91</td>
<td valign="top" align="center">1062.06</td>
<td valign="top" align="center">1088.21</td>
<td valign="top" align="center">1098.31</td>
<td valign="top" align="center">1133.55</td>
</tr>
<tr>
<td valign="top" align="left">Chibar2</td>
<td valign="top" align="center">228.54</td>
<td valign="top" align="center">228.56</td>
<td valign="top" align="center">222.73</td>
<td valign="top" align="center">224.53</td>
<td valign="top" align="center">216.68</td>
</tr>
</tbody>
</table><table-wrap-foot>
<p>The values outside and inside the brackets are the OR and standard errors, respectively.</p> 
<fn id="TN1">
<p><sup>&#x0002A;&#x0002A;</sup>, and <sup>&#x0002A;&#x0002A;&#x0002A;</sup> indicate significance at the 5%, and 1% levels, respectively.</p></fn>
<p>Reference groups: a for 60&#x02013;64 group, b for Primary school and below group, c for City group, d for no job group, e for no health insurance participation, f for no EMI group, i for no RMI group, j for no CMI group.</p>
</table-wrap-foot>
</table-wrap>
<p>From the regression results of the five models, age, education attainment, residence, chronic disease, log annual income, log GDP, job, health insurance participation, EMI, RMI, CMI, and log physical exercise all had significant effects on life satisfaction of the elderly, indicating that these factors play an important role in terms of life satisfaction of the elderly. However, the relationship between log health insurance premiums and life satisfaction of the elderly was not significant.</p>
<p>Specifically, the results from Model 1 reveal that there is a negative relationship between age and life satisfaction of older people. Compared to the reference group of 60&#x02013;64 year old, the OR of increased life satisfaction for 65&#x02013;69, 70&#x02013;74, and 75&#x02013;80 year olds decreased by 9.0, 14.1, and 16% respectively. There was a positive relationship between education attainment and life satisfaction of older people. Compared to the primary school and below reference group, the OR for increased life satisfaction increased by 38.2, 86.5, and 91.2% for Middle school, High/Higher Vocational/Secondary School, College and above, respectively. The OR of increased life satisfaction for rural older adults decreased by 29.4% compared to the city reference group. There was a negative relationship between the number of Chronic disease and life satisfaction of older people. For each unit increase in chronic disease, the OR of increased life satisfaction for older people decreased by 23.7%. There was a positive relationship between log annual income and life satisfaction among older people. For each unit increase in log annual income, the OR for increase in life satisfaction of older people increased by 0.9%. There was a positive relationship between log GDP and older people&#x00027;s life satisfaction. For each unit increase in log GDP, the OR for increased life satisfaction of older people increased by 48.8%. Compared to the no job reference group, the OR of increase in life satisfaction for older people with a job increased by 235%.</p>
<p>The results from model 2 show that the relationship between the independent variables and life satisfaction of older people remains significant after the inclusion of log health insurance premiums, but the effect of log health insurance premiums on health insurance for older people is not significant.</p>
<p>The results of model 3 showed that the relationship between the independent variable and life satisfaction of the elderly remained significant after the inclusion of health insurance premiums, and that there was a significant effect of health insurance premiums on the life satisfaction of the elderly. There was a 40.4% increase in the likelihood of increased life satisfaction for those with health insurance participation compared to those without health insurance participation. The results of Model 4 showed that participation in EMI, RMI, and CMI all had a positive effect on the increase in life satisfaction of older people. Compared to uninsured older adults, the ORs of increased life satisfaction for EMI, RMI, and CMI were 50.6, 20.8, and 58.1%, respectively. The results from Model 5 revealed that the relationship between the independent variables and life satisfaction of older adults remained significant after the inclusion of log physical exercise, and log physical exercise had a significant effect on life satisfaction of older adults. Each unit increase in log physical exercise was associated with a 3.3% increase in life satisfaction OR for older people.</p>
<p>The results of Models 1, 3, and 5 show that health insurance participation and log physical exercise moderate the effects of age and educational attainment on older people&#x00027;s life satisfaction to some extent. Logarithmic physical exercise is more likely to increase life satisfaction among rural older people than health insurance participation. Logarithmic physical exercise also improves the life satisfaction of older people with chronic diseases. Health insurance participation moderates the effect of job on older people&#x00027;s satisfaction and increases the life satisfaction of older people who are no job. Both health insurance participation and log physical exercise moderate the effect of GDP on older people&#x00027;s life satisfaction and reduce the effect of regional economic development on older people&#x00027;s life satisfaction.</p>
</sec>
<sec>
<title>Intermediary test</title>
<p>The results of the regression analysis of this study (<xref ref-type="table" rid="T2">Table 2</xref>) showed that older people&#x00027;s participation in physical exercise and health insurance had a positive impact on their life satisfaction. However, the pathways through which health insurance participation affects older people&#x00027;s life satisfaction merit further research. A review analysis of past studies suggests that health insurance participation may affect older people&#x00027;s life satisfaction by either promoting or discouraging their physical exercise. Therefore, in this paper, regular physical activity was chosen as a mediating variable to examine the potential mechanisms of health insurance participation on older people&#x00027;s life satisfaction. Models (6)&#x02014;(8) in <xref ref-type="table" rid="T3">Table 3</xref> report the regression results of the mediation test for the effect of health insurance participation on older people&#x00027;s life satisfaction. Model (6) reflects the results of the test without the inclusion of mediating variables. It can be seen that, similar to the previous section, there is a significant positive effect of health insurance participation on older people&#x00027;s life satisfaction. The results of model (7) show that participation in health insurance has a significant negative effect on log physical exercise among older people. Model (8) reflects the results of the test after the inclusion of mediating variables, showing that the effect of health insurance participation on older people&#x00027;s life satisfaction remains significantly positive after the inclusion of log physical exercise, and the regression coefficient becomes larger. The results suggest that the variable log physical exercise masks to some extent the effect of health insurance participation on older people&#x00027;s life satisfaction. Controlling for the variable log physical exercise significantly increases the effect of health insurance participation on life satisfaction. This suggests that some older adults with health insurance may reduce their physical exercise time, thereby affecting their life satisfaction.</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Intermediary test results.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th/>
<th valign="top" align="center"><bold>Model (6)</bold></th>
<th valign="top" align="center"><bold>Model (7)</bold></th>
<th valign="top" align="center"><bold>Model (8)</bold></th>
</tr>
<tr>
<th/>
<th valign="top" align="center"><bold>Life satisfaction</bold></th>
<th valign="top" align="center"><bold>Ln PE</bold></th>
<th valign="top" align="center"><bold>Life satisfaction</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Health insurance participation</td>
<td valign="top" align="center">0.163<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.027)</td>
<td valign="top" align="center">&#x02212;0.235<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;</sup></xref> (0.136)</td>
<td valign="top" align="center">0.166<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.027)</td>
</tr>
<tr>
<td valign="top" align="left">Ln PE</td>
<td/>
<td/>
<td valign="top" align="center">0.015<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref> (0.002)</td>
</tr> <tr style="border-top: thin solid #000000;">
<td valign="top" align="left"><bold>Control variable</bold></td>
<td valign="top" align="center" colspan="3"><bold>Control</bold></td>
</tr> <tr style="border-top: thin solid #000000;">
<td valign="top" align="left">_cons</td>
<td valign="top" align="center">2.305<break/> (0.249)</td>
<td valign="top" align="center">&#x02212;45.113 (1.247)</td>
<td valign="top" align="center">2.960<break/> (0.262)</td>
</tr>
<tr>
<td valign="top" align="left">R-squared</td>
<td valign="top" align="center">0.109</td>
<td valign="top" align="center">0.241</td>
<td valign="top" align="center">0.114</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>The control variables are individual characteristics, regional macroeconomic characteristics, and provincial dummy variables.</p> 
<p>Values outside and in parentheses are estimated coefficients and standard errors, respectively.</p>
<fn id="TN2">
<p><sup>&#x0002A;</sup>, and <sup>&#x0002A;&#x0002A;&#x0002A;</sup> indicate significance at the 10 and 1% levels.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="s6">
<title>Discussion</title>
<p>In this study research hypotheses H1, H2, and H3 were all validated by the empirical data. The regression results showed that after controlling for age, educational attainment, residence, chronic disease, annual income, GDP, job, occupation, and province, there was a significant positive effect on older people&#x00027;s life satisfaction, regardless of the type of health insurance participation. Consistent with the findings of Rao and Gao (<xref ref-type="bibr" rid="B40">40</xref>) and Wu and Li (<xref ref-type="bibr" rid="B41">41</xref>), but different from the findings of Yang and Hanewald (<xref ref-type="bibr" rid="B44">44</xref>). Yang and Hanewald concluded that older adults&#x00027; life satisfaction was not related to whether they participated in health insurance, but rather to the type of health insurance they chose. Although the ORs of EMI, RMI, and CMI on the increase of life satisfaction in old age were not the same in this study, simply having health insurance could have a significant positive effect on the life satisfaction of older adults. The main reason for analyzing the difference between the results of this study and those of Yang et al. may be related to the age of the study population in that study, which was 45&#x02013;60 years old (<xref ref-type="bibr" rid="B44">44</xref>). Those aged 45&#x02013;60 were more likely to be involved in the workforce and to receive work-plus-health insurance benefits than those aged 60 and beyond. Also in this study, no significant relationship was found between health insurance premiums and life satisfaction among older adults. A previous study by Liao et al. found that the impact of health insurance premiums on older people&#x00027;s life satisfaction varied by gender, with women being more affected than men (<xref ref-type="bibr" rid="B43">43</xref>).</p>
<p>This study found that health insurance participation and physical activity moderated the effect of age on life satisfaction among older people to some extent. As older people age, their physical functioning will continue to decline at any time. At the same time, physical exercise for older people decreases as some of the physical activities they used to do are gradually reduced or replaced by other tasks due to changes in lifestyle. In addition, physical exercise for older people not only enhances physical fitness, prevents disease and improves immunity, but also increases their social participation and social interaction (<xref ref-type="bibr" rid="B33">33</xref>), which in turn improves the impact of age or older people&#x00027;s life satisfaction. As age increases, older people&#x00027;s health risks increase, and increased health risks can increase the level of health care consumption among older people. Without the help of health insurance, this may result in an increased financial burden for older people&#x00027;s families. Therefore, participation in health insurance can increase older people&#x00027;s sense of security against uncertain future health risks and financial risks (<xref ref-type="bibr" rid="B65">65</xref>).</p>
<p>This study found that health insurance participation and physical exercise moderated to some extent the effect of educational attainment on life satisfaction among older adults.&#x0201C; Data collected by the &#x0201C;Gallup World Poll&#x0201D; shows a positive relationship between education and life satisfaction (<xref ref-type="bibr" rid="B71">71</xref>). Although the components of life satisfaction are complex, research suggests that social and emotional skills play a role in determining life satisfaction. Social and emotional skills come primarily from schooling, but also from the family and cultural environment (<xref ref-type="bibr" rid="B72">72</xref>). In countries with greater educational differences, higher educational attainment increases the proportion of adults who self-report life satisfaction (<xref ref-type="bibr" rid="B73">73</xref>). In countries with greater educational disparities, higher educational attainment increases the proportion of adults who self-report life satisfaction (<xref ref-type="bibr" rid="B74">74</xref>). Physical exercise is beneficial in promoting health equity (<xref ref-type="bibr" rid="B75">75</xref>). This study found that physical exercise reduces the significant effect of education on older adults&#x00027; life satisfaction, which may be related to the fact that physical exercise helps to reduce health disparities between older adults with different levels of education, which in turn reduces the effect of educational attainment on older adults&#x00027; life satisfaction. Health insurance participation reduced the significant effect of education on older adults&#x00027; life satisfaction, which may be related to the fact that health insurance helps to reduce health disparities and health coverage disparities among older adults with different levels of education, increasing the accessibility of health care for older adults with different levels of education, and thus reducing the effect of education on older adults&#x00027; life satisfaction. Sun et al. used data from a nationwide panel and confirmed improved health outcomes for residents who utilized health insurance coverage provided to urban residents (<xref ref-type="bibr" rid="B37">37</xref>). Su et al. found that older adults with health insurance participation had higher subjective wellbeing than those without health insurance participation. Health insurance participation helped to reduce health inequities associated with education and thus increased life satisfaction among older adults with different levels of education (<xref ref-type="bibr" rid="B75">75</xref>).</p>
<p>This study found that health insurance participation and physical exercise helped to reduce the impact of urban-rural differences on older people&#x00027;s life satisfaction. Looking at the urban and rural typologies, life satisfaction was significantly lower among rural older people than urban older people. A previous study reported that urban older people with chronic diseases had higher life satisfaction than rural older people with chronic diseases (<xref ref-type="bibr" rid="B76">76</xref>). There are significant differences between urban and rural areas in terms of lifestyle, household economic level and social security, and these factors may contribute to the differences in life satisfaction between urban and rural older people (<xref ref-type="bibr" rid="B77">77</xref>). Health insurance participation increases the level of health care coverage for older people in both urban and rural areas. Health insurance is particularly important for older people, which basically guarantees their quality of life (<xref ref-type="bibr" rid="B78">78</xref>). With socio-economic development, the health needs of older people have escalated and physical exercise can improve not only their health but also their lifestyles. Physical exercise can reduce the impact of urban-rural differences on older people&#x00027;s life satisfaction and help to improve the life satisfaction of rural older people.</p>
<p>Physical exercise can also improve the life satisfaction of older people with chronic illnesses, as the decline in physical function and health risks are more pronounced with age than when they were younger. This confirms the adage that &#x0201C;life is about exercise.&#x0201D; Health insurance participation moderates the impact of work on older people&#x00027;s satisfaction and increases the life satisfaction of older people who are not working. Individuals who are employed are also likely to have higher health insurance contributions, which may potentially reduce their sense of security against uncertain future health and financial risks, thereby increasing their life satisfaction. The &#x0201C;Easterlin paradox&#x0201D; suggests that the relationship between the level of economic development and life satisfaction in a country or region is not a positive one (<xref ref-type="bibr" rid="B79">79</xref>). Xiang and Yao found a positive correlation between life satisfaction and household income in China, while there was no significant correlation between life satisfaction and regional economic development at the macro level (<xref ref-type="bibr" rid="B76">76</xref>). In contrast, this study found that GDP of the elderly significantly affects the life satisfaction of the elderly. The original intention of our government to set up different types of health insurance was to promote equity in health protection for different residents (<xref ref-type="bibr" rid="B79">79</xref>). However, due to regional differences in the level of economic development, the accessibility of health insurance for older people in economically developed regions may be better than that in less economically developed regions. Health insurance plays an important role in reducing the impact of differences in economic development on the life satisfaction of older people. Physical activity and health insurance both have a significant impact on life satisfaction among older people. Therefore, encouraging older people to take part in health insurance and physical exercise is one of the important means to achieve active aging strategies.</p>
<p>Cheah et al. study reported that individuals who participated in physical exercise were more likely to have health insurance (<xref ref-type="bibr" rid="B64">64</xref>). However, Zhang et al. the higher the amount of health insurance purchase, the less physical exercise behavior (<xref ref-type="bibr" rid="B65">65</xref>). The results of this study found that the effect of health insurance participation on older adults&#x00027; life satisfaction remained significantly positive after the inclusion of regular physical exercise, and the regression coefficient became larger, thus indicating that physical exercise masked the effect of health insurance participation on older adults&#x00027; life satisfaction to some extent, and that controlling for the variable of physical exercise significantly amplified the effect of health insurance participation on life satisfaction. The results of the study suggest that in the process of promoting active aging and healthy aging in China, special attention should be paid to those older people who have reduced their physical activity behavior as a result of their participation in health insurance.</p>
<p>This study also has some limitations, which should be taken into account when interpreting the results of this study. First, health insurance and physical exercise in this study were derived from self-reports by participants. Consequently, the results may have been affected by false positives, which may have weakened the associations observed in the study. Second, although many factors influencing life satisfaction in older adults have been documented in the literature, this study was unable to control for them as covariates in the study because they were not in the original study and these data were not available for this study. This study does not use instrumental variables and other test analysis methods for the endogeneity of variables, and hopes to further improve in future research. Finally, due to the second-hand public data used in this study, which is affected by the sampling method and sample distribution of the CHNS database, the relevant conclusions of this study need to be further verified in other large national samples in the future.</p>
</sec>
<sec sec-type="conclusions" id="s7">
<title>Conclusion</title>
<p>Participation in health insurance and physical exercise are important means to promote life satisfaction among older people. Physical exercise affects the impact of health insurance on older people&#x00027;s life satisfaction.</p>
</sec>
<sec sec-type="data-availability" id="s8">
<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/supplementary material.</p>
</sec>
<sec id="s9">
<title>Ethics statement</title>
<p>The studies involving human participants were reviewed and approved by CHNS provides interviewees with guarantees of privacy and confidentiality. All participants provided written informed consent. Detailed information about the research design is on its official website. The patients/participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="s10">
<title>Author contributions</title>
<p>LL conceived the study and performed the data analysis and interpretation. LL, XZ, and XW drafted the manuscript. LL and XZ participated in the refinement of the manuscript. All authors have read and approved the final manuscript.</p>
</sec>
<sec sec-type="funding-information" id="s11">
<title>Funding</title>
<p>This research used data from the China Health and Nutrition Survey (CHNS). We thank the National Institute of Nutrition and Food Safety, China Center for Disease Control and Prevention, Carolina Population Center, the University of North Carolina at Chapel Hill, the NIH (R01-HD30880, DK056350, and R01-HD38700) and the Fogarty International Center, NIH for financial support for the CHNS data collection and analysis files from 1989 to 2006, and both parties and the China&#x02013;Japan Friendship Hospital, Ministry of Health for support for the CHNS 2009 and future surveys. Funding for this research came from the East China Normal University-Xuhui Postdoctoral Workstation Fund (No. 2019001), the Guizhou Provincial Department of Education Youth Growth Project Fund [Qianjiao He KY (2021) 291], and the Guizhou Province Education Planning Fund Project (2021A058).</p>
</sec>
<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="s12">
<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>
</body>
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