Descriptive statistics
The descriptive statistics of variables in Table 1 revealed that the elderly’s health satisfaction was greater than self-assessment health. It indicated that the whole elderly had a better mentality and the self-assessment health and health satisfaction improved with income increased. In the community-built environment, the average of community leisure environment was often greater than the average of the community landscape environment. The mean value of all measurement variables in community-built environment reflected that the low-income elderly have lower than middle-income and high-income elderly. The low level of the elderly’s social participation and the average of all participation activities were both below 2, implying that the elderly’s participation occurred several times a year. Walking frequency was 4.2 times a week with a walking time of 28.57 minutes; walking frequency and time increased as income increased. In the control variables, the average age of the elderly was 72.7 years, with balanced the gender structure, and the overall education level was above senior high school, having a more than 22 years’ living time in average. With rising income, the average age of the old reduced, the level of education gradually increased, the number of men climbed, and the living time reduced.
Table 1. Variable descriptive statistics
|
|
Observed variable
|
Variable items
|
Mean scores
|
The total sample
|
Low income
|
Middle income
|
High income
|
Health of the elderly
|
Self-assessment health
|
Your health condition
|
2.35
|
2.22
|
2.26
|
2.52
|
Health satisfaction
|
satisfaction with your health status
|
3.61
|
3.38
|
3.56
|
3.80
|
Community environment
|
Walking environment
|
Walking attraction
|
Many people often walking in the residential district
|
3.32
|
3.17
|
3.30
|
3.39
|
Exercise attraction
|
Seeing other people often exercise in the residential district
|
3.18
|
2.99
|
3.18
|
3.26
|
Sports facilities
|
Abundant sports facilities in the residential district
|
2.95
|
2.76
|
2.93
|
3.04
|
Exercise opportunities
|
Offering exercise opportunities in the residential district
|
3.00
|
2.73
|
3.01
|
3.09
|
Enough trees
|
The trees in the residential district provide enough shade
|
3.14
|
3.09
|
3.16
|
3.13
|
Walking convenience
|
Many places can be walked from our residential district
|
3.65
|
3.60
|
3.68
|
3.65
|
Suitable for walking
|
Very pleasant walk in the residential district
|
3.31
|
3.22
|
3.31
|
3.34
|
Sensory environment
|
Interesting design
|
The buildings in the resident district are interesting
|
2.72
|
2.50
|
2.74
|
2.78
|
attractive
|
The community is attractive
|
2.92
|
2.66
|
2.95
|
2.99
|
cleanliness
|
The road and environment in the resident district are clean
|
2.87
|
2.69
|
2.85
|
2.95
|
Social participation
|
Interest groups
|
Frequency of participation in outdoor interest groups
|
1.87
|
1.93
|
1.78
|
1.94
|
Community activities
|
Frequency of participation in activities in the residential district
|
1.76
|
1.75
|
1.68
|
1.76
|
Lecture report
|
Frequency of learning lecture or reports
|
1.65
|
1.65
|
1.67
|
1.62
|
Mutual assistance groups
|
Frequency of participation in self-management or mutual assistance groups
|
1.50
|
1.55
|
1.53
|
1.42
|
volunteer
|
Frequency of being an volunteer
|
1.64
|
1.63
|
1.65
|
1.50
|
Outdoor exercise
|
Walking frequency
|
Walking several times a week (more than 10 minutes)
|
4.20
|
4.08
|
4.19
|
4.26
|
Walking time
|
How long is the walk(minute)
|
28.57
|
24.85
|
29.67
|
29.02
|
Control variable
|
age
|
age
|
72.74
|
80.62
|
71.43
|
70.74
|
gender
|
gender
|
0.58
|
0.687
|
0.61
|
0.49
|
education
|
education
|
2.25
|
1.76
|
1.90
|
2.90
|
Living time
|
Living time in the community
|
22.10
|
26.44
|
25.13
|
16.35
|
The study applied the SEM latent mean comparison approach to compare the community-built environment, social participation, outdoor exercise, and health status of the elderly with different income levels. The processing of the mean of latent variables was one advantage of the analysis method. Unlike other statistical methods that add the mean to latent variables, the structural equation model was systematically analyzed by the different weights of each measured variable and eventually appears as difference among the means of variables in different groups. MPLUS set the low-income group to 0 and used software analysis to determine the specific difference between middle-income group, high-income group, and low-income group. The use of a SEM latent mean comparison allows for a more precise measurement of the differences in variable means between various income groups (Figure 2).
The health status of the elderly and community-built environment both show a trend of gradual improvement as income level rise, especially the health status of the elderly showing a larger increase. The difference in health between the elderly with high-income and middle-income and the elderly with low-income was 0.125 and 0.490, respectively, and the difference in community-built environment was 0.189 and 0.918. According to the study’s findings, there are significant difference in the health of the elderly based on their income. As a result, it is extremely important to discuss the health path of the elderly of different income. With the increase of income, the elderly’s frequency of social participation activities gradually reduced as their income level increased; outdoor exercise exhibited an inverted V-shaped relationship, with middle-income elderly people having the highest intensity and low-income elderly people having the lowest. The differences in social participation were -0.92 and -0.148, respectively, while the differences in outdoor exercise were 0.144 and 0.106.
The results of the model fitting based on the entire sample are shown in Table 2 and figure 3. After controlling for age, gender, education, and community living time, the total effect value for community-built environment, social participation, and outdoor exercise on the health of the elderly were 0.230, 0.136, and 0.240, respectively.
The direct and indirect effects of community-built environment on elderly health are significant, indicating that there were some intermediary variables in the path, with the intermediary effect value of social participation was 0.021 and the intermediary effect value of outdoor exercise was 0.053. It proposed that the positive impact of community-built environment on elderly health should be realized by promoting outdoor exercise and social participation.
Table 2 Total, direct and indirect effects of the overall model path
Independent variable
|
Intermediate variable
|
Dependent variable
|
social participation
|
Outdoor exercise
|
the elderly’s health
|
Total effect
|
Direct effect
|
Indirect effect
|
community built environment
|
0.152***
|
0.222***
|
0.230***
|
0.156***
|
0.074***
|
social participation
|
----
|
----
|
0.136***
|
0.136***
|
----
|
Outdoor exercise
|
----
|
----
|
0.240***
|
0.240***
|
----
|
Note: *** represents significant at the 1% level,
** represents significant at the 5% confidence level,
* represents significant at the 10% confidence level
Comparison of Model Differences among Different income Groups
We compared the model path of different elderly income groups, and the output results showed that the path coefficient was set to the same P value<0.05, indicating that there were significant differences in group model paths of different income levels. The results of model fitting based on different income groups were compared in Table 5, Figure 3 and 5.
The total effect value of community-built environment and outdoor exercise on the health of the low-income elderly were 0.340 and 0.231, respectively. On the other hand, social participation had no effect on them. The direct effect of community-built environment on the low-income elderly health was significant, but the indirect effect was not significant, indicating there was no intermediary effect in the path, which mean the effect of community-built environment on the low-income elderly health was direct and would not be interfered by the outdoor exercise and social participation.
Community built environment, outdoor exercise and social participation all had significantly positively effects on the health of middle-income elderly, with effect values were 0.223, 0.157, and 0.154, respectively. The direct and indirect impacts of the community-built environment on the health of middle-income elderly people were both significant, indicating that there was a section of the path that had an intermediary effect, including the intermediary effect value of social participation was 0.029. It suggested that outdoor exercise and social participation would help to achieve the positive effect of community-built environment on the health of the middle-income elderly.
The community-built environment, outdoor exercise and social participation all had significantly positively affected on the health of the high-income elderly, with impact values of 0.225, 0.118 and 0.187, respectively. The direct and indirect effects of the community-built environment on the health of middle-income elderly people were both significant, indicating that there was a part of the path with intermediary effect, including the intermediary effect value of social participation was 0.035, and the intermediary effect of outdoor exercise was 0.056. It suggested that outdoor exercise and social participation would help to realize the positive effect of community-built environment on the health of the elderly. The total effect (0.225), direct effect (0.144), and indirect effect (0.081) of the community-built environment on the path of the high-income elderly can be seen, and outdoor exercise and social participation could reach 36%. This means that outdoor exercise and social participation play an essential intermediary role in how the community-built environment influenced the health of the high-income elderly.
Independent variable
|
Intermediate variable
|
Dependent variable
|
social participation
|
Outdoor exercise
|
the elderly’s health
|
Total effect
|
Direct effect
|
Indirect effect
|
low income
|
community built environment
|
0.040
|
0.077
|
0.362***
|
0.340***
|
0.022
|
social participation
|
----
|
----
|
0.110
|
0.110
|
----
|
Outdoor exercise
|
----
|
----
|
0.231**
|
0.231**
|
----
|
middle income
|
community built environment
|
0.159**
|
0.186***
|
0.223***
|
0.169***
|
0.054**
|
social participation
|
----
|
----
|
0.157***
|
0.157***
|
----
|
Outdoor exercise
|
----
|
----
|
0.154**
|
0.154**
|
----
|
high income
|
community built environment
|
0.212**
|
0.302***
|
0.225***
|
0.144***
|
0.081**
|
social participation
|
----
|
----
|
0.118**
|
0.118**
|
----
|
Outdoor exercise
|
----
|
----
|
0.187***
|
0.187***
|
----
|
Table 3 Comparison of different income elderly model paths