## 4 Research Results
### Correlation Analysis  
[PERSON] and [PERSON] (2019) suggested that the sample size should be based on the model fit, measured as the ratio of the chi-square value (x\({}^{2}\)) to its degree of freedom. However, the chi-square value is very sensitive to the size of the sample being tested. With a larger sample size, it is easier for the chi-square value to reach significance, increasing the possibility of the theoretical model being rejected. Therefore, the normed chi-square (normed \(\chi^{2}\)) (x\({}^{2}\)/df) has been suggested as a better measure of the goodness of fit ratio. In order to test the model fit ratio, the present study used the chi-square degree of freedom ratio (x\({}^{2}\)/df). A ratio of less than 3 is an acceptable model fit ratio. The overall goodness of fit indices were \(\chi^{2}\)/df = 2.28, Goodness of Fit index (GFI) = 0.93, Adjusted Goodness of Fit Index (AGFI) = 0.90, Comparative Fit Index (CFI) = 0.97, Root Mean Square Residual (RMR) = 0.01 and Parsimonious Goodness of Fit Index (PGFI) = 0.76 (see Table 2). These results showed that all of the variables meet the criteria for validating research hypotheses.  
The latent variables include attitude, subjective norms, perceived behavioral control, sports commitment and ongoing participation. [PERSON]'s correlation analysis showed that the correlation coefficients between the attitude, subjective norms, perceived behavioral control, sports commitment and ongoing participation behavioral variables are 0.35 (\(p<0.001\)), 0.45 (\(p<0.001\)), 0.38 (\(p<0.001\)) and 0.27 (\(p<0.001\)), reaching the 0.5 significance level. The correlation coefficient for attitude and subjective norms is 0.52 (\(p<0.001\)). The correlation coefficient for perceived behavioral control and attitude is 0.32 (\(p<0.001\)). The correlation coefficient for perceived behavioral control and subjective norms is 0.42 (\(p<0.001\)). The correlation coefficient for sports commitment and attitude is 0.52 (\(p<0.001\)). The correlation coefficient for sports commitment and subjective norms is 0.33 (\(p<0.001\)). The correlation coefficient for sports commitment and perceived behavioral control is 0.23 (\(p<0.001\)). There is a significant positive relationship between each of the dimensions, with a moderate to low level of association (see Table 3).  
\begin{table}
\begin{tabular}{c c c c c} \hline \hline \multicolumn{1}{c}{**Variable**} & \multicolumn{1}{c}{**Mean**} & \multicolumn{1}{c}{**S.D.**} & \multicolumn{1}{c}{**Cronbach’s \(\alpha\)**} \\ \hline \multirow{4}{*}{SC} & CO1 & 3.77 & 0.88 & \multirow{4}{*}{0.73} \\  & CO2 & 3.92 & 0.73 & \\  & CO3 & 3.85 & 0.76 & \\  & CO4 & 4.11 & 0.70 & \\ \hline \multirow{4}{*}{AT} & AT1 & 4.05 & 0.66 & \multirow{4}{*}{0.84} \\  & AT2 & 4.04 & 0.68 & \\  & AT3 & 4.11 & 0.65 & \\ \hline \multirow{2}{*}{SN} & SN1 & 3.81 & 0.72 & \multirow{2}{*}{0.80} \\  & SN2 & 3.83 & 0.73 & \\ \hline \multirow{2}{*}{PBC} & PBC1 & 3.82 & 0.68 & \multirow{2}{*}{0.63} \\  & PBC2 & 3.73 & 0.67 & \\ \hline \multirow{4}{*}{CI} & IN1 & 3.63 & 0.69 & \multirow{4}{*}{0.84} \\  & IN2 & 3.74 & 0.68 & \\ \cline{1-1}  & IN3 & 3.73 & 0.68 & \\ \hline \hline \end{tabular}
\end{table}
Table 2: Reliability of variables.