Table 3

Fit statistics for the models. Comparisons of conditions using measurement invariance procedures.

Goodness-of-fit indices and model comparisons for tested models
ModelCMINDFCMIN/DFCFIRMSEAECVIAIC
0463.2692401.930.959.0501.594583.269
0a463.0952401.930.954.0531.762583.095
0b299.1562401.246.958.0544.990419.156
1806.3324801.680.953.0382.2501046.332
2834.8035011.666.952.0382.2211032.803
3844.6305071.666.952.0382.2161030.630
4848.1135111.660.952.0382.2071026.113
5900.3825401.667.948.0382.1941020.382
Comparison of conditions using measurement invariance procedures
ModelDif. DFDif. CMINpDif. CFIDif. RMSEA
Assuming that model 1 is correct22128.471.127.001.000
32738.298.073.001.000
43141.781.094.001.000
56094.050.003.004.000
Assuming that model 2 is correct369.827.019.000.000
41013.310.000.000.000
53965.579.000.006.000
Assuming that model 3 is correct443.483.001.000.000
53355.752.000.004.000
Assuming that model 4 is correct52952.269.005.004.000
Note:  Model 0, total runners; model 0a male runners; model 0b, female runners; model 1, indicates that no parameters are restricted to being equal in all groups; model 2, factorial loads restricted to being equal; model 3, observed strctural weights and factorial loads restricted to being equal; model 4, observed structural covariances, structural weights and factorial loads restricted to being equal; model 5, observed structural residues, structural covariances, structural weights and factorial loads restrictied to being equal. Dif. CMIN, difference between the model and the other models;, Dif. DF. difference between the model and the other models; p, level of significance across models.