TABLE 7.
Coverage Rate of Latent Interaction Effect (Statistical Power = 0.7)
| |||||||||
---|---|---|---|---|---|---|---|---|---|
Sample Size | Distribution | CPI
|
GAPI
|
UPI
|
LMS | ||||
ML | SB | ML | SB | ML | SB | ||||
100 | Normal | 0.947 * | 0.903 * | 0.954 * | 0.923 * | 0.932 * | 0.904 * | 0.948 * | |
Uniform | 0.923 * | 0.880 | 0.960 * | 0.931 * | 0.948 * | 0.915 * | 0.927 * | ||
K1 | 0.910 * | 0.856 | 0.925 * | 0.891 | 0.914 * | 0.869 | 0.956 * | ||
K2 | 0.888 | 0.807 | 0.929 * | 0.876 | 0.918 * | 0.871 | 0.962 * | ||
|
0.822 | 0.724 | 0.933 * | 0.904 * | 0.931 * | 0.898 | 0.924 * | ||
| |||||||||
200 | Normal | 0.956 * | 0.941 * | 0.956 * | 0.949 * | 0.958 * | 0.941 * | 0.958 * | |
Uniform | 0.940 * | 0.902 * | 0.955 * | 0.946 * | 0.959 * | 0.947 * | 0.932 * | ||
K1 | 0.892 | 0.891 | 0.918 * | 0.899 | 0.917 * | 0.893 | 0.931 * | ||
K2 | 0.879 | 0.864 | 0.930 * | 0.887 | 0.926 * | 0.875 | 0.913 * | ||
|
0.691 | 0.672 | 0.924 * | 0.928 * | 0.933 * | 0.922 * | 0.755 | ||
| |||||||||
500 | Normal | 0.955 * | 0.947 * | 0.952 * | 0.955 * | 0.954 * | 0.952 * | 0.950 * | |
Uniform | 0.956 * | 0.916 * | 0.958 * | 0.956 * | 0.963 * | 0.955 * | 0.943 * | ||
K1 | 0.849 | 0.901 * | 0.931 * | 0.909 * | 0.935 * | 0.908 * | 0.870 | ||
K2 | 0.811 | 0.874 | 0.899 | 0.868 | 0.906 * | 0.869 | 0.813 | ||
|
0.375 | 0.479 | 0.916 * | 0.916 * | 0.926 * | 0.921 * | 0.269 | ||
| |||||||||
1000 | Normal | 0.954 * | 0.953 * | 0.953 * | 0.960 * | 0.947 * | 0.951 * | 0.964 * | |
Uniform | 0.953 * | 0.941 * | 0.958 * | 0.962 * | 0.956 * | 0.958 * | 0.946 * | ||
K1 | 0.855 | 0.935 * | 0.932 * | 0.920 * | 0.932 * | 0.921 * | 0.841 | ||
K2 | 0.741 | 0.879 | 0.923 * | 0.896 | 0.924 * | 0.900 | 0.735 | ||
|
0.149 | 0.266 | 0.913 * | 0.918 * | 0.926 * | 0.922 * | 0.049 | ||
| |||||||||
5000 | Normal | 0.947 * | 0.943 * | 0.944 * | 0.951 * | 0.945 * | 0.950 * | 0.943 * | |
Uniform | 0.955 * | 0.930 * | 0.958 * | 0.960 * | 0.957 * | 0.960 * | 0.950 * | ||
K1 | 0.776 | 0.946 * | 0.940 * | 0.930 * | 0.944 * | 0.931 * | 0.763 | ||
K2 | 0.667 | 0.907 * | 0.937 * | 0.923 * | 0.935 * | 0.921 * | 0.649 | ||
|
0.000 | 0.003 | 0.927 * | 0.946 * | 0.936 * | 0.945 * | 0.000 |
Coverage Rate of Latent Interaction Effect (Statistical Power = 0.9)
| |||||||||
---|---|---|---|---|---|---|---|---|---|
Sample Size | Distribution | CPI
|
GAPI
|
UPI
|
LMS | ||||
ML | SB | ML | SB | ML | SB | ||||
100 | Normal | 0.928 * | 0.891 | 0.949 * | 0.919 * | 0.937 * | 0.905 * | 0.931 * | |
Uniform | 0.941 * | 0.879 | 0.970 * | 0.945 * | 0.949 * | 0.922 * | 0.939 * | ||
K1 | 0.906 * | 0.844 | 0.921 * | 0.876 | 0.914 * | 0.865 | 0.954 * | ||
K2 | 0.870 | 0.815 | 0.912 * | 0.877 | 0.888 | 0.838 | 0.952 * | ||
|
0.785 | 0.706 | 0.904 * | 0.873 | 0.890 | 0.866 | 0.915 * | ||
| |||||||||
200 | Normal | 0.933 * | 0.908 * | 0.950 * | 0.942 * | 0.951 * | 0.931 * | 0.956 * | |
Uniform | 0.942 * | 0.908 * | 0.959 * | 0.950 * | 0.956 * | 0.946 * | 0.944 * | ||
K1 | 0.857 | 0.881 | 0.886 | 0.884 | 0.892 | 0.876 | 0.920 * | ||
K2 | 0.839 | 0.851 | 0.909 * | 0.892 | 0.904 * | 0.877 | 0.899 | ||
|
0.667 | 0.671 | 0.879 | 0.863 | 0.882 | 0.865 | 0.732 | ||
| |||||||||
500 | Normal | 0.957 * | 0.943 * | 0.943 * | 0.957 * | 0.945 * | 0.950 * | 0.951 * | |
Uniform | 0.938 * | 0.921 * | 0.949 * | 0.948 * | 0.948 * | 0.952 * | 0.937 * | ||
K1 | 0.836 | 0.900 | 0.899 | 0.891 | 0.892 | 0.884 | 0.843 | ||
K2 | 0.779 | 0.858 | 0.898 | 0.903 * | 0.891 | 0.888 | 0.803 | ||
|
0.392 | 0.511 | 0.914 * | 0.920 * | 0.921 * | 0.923 * | 0.238 | ||
| |||||||||
1000 | Normal | 0.945 * | 0.941 * | 0.945 * | 0.949 * | 0.948 * | 0.948 * | 0.952 * | |
Uniform | 0.936 * | 0.921 * | 0.945 * | 0.952 * | 0.946 * | 0.952 * | 0.955 * | ||
K1 | 0.794 | 0.902 * | 0.900 | 0.894 | 0.898 | 0.895 | 0.776 | ||
K2 | 0.739 | 0.886 | 0.895 | 0.887 | 0.895 | 0.888 | 0.681 | ||
|
0.157 | 0.295 | 0.905 * | 0.912 * | 0.906 * | 0.913 * | 0.043 | ||
| |||||||||
5000 | Normal | 0.952 * | 0.951 * | 0.946 * | 0.951 * | 0.945 * | 0.953 * | 0.960 * | |
Uniform | 0.945 * | 0.925 * | 0.938 * | 0.943 * | 0.936 * | 0.940 * | 0.940 * | ||
K1 | 0.728 | 0.934 * | 0.921 * | 0.907 * | 0.916 * | 0.898 | 0.700 | ||
K2 | 0.639 | 0.910 * | 0.931 * | 0.921 * | 0.931 * | 0.916 * | 0.572 | ||
|
0.000 | 0.006 | 0.917 * | 0.935 * | 0.932 * | 0.938 * | 0.000 |
Note. ML means maximum likelihood. SB means Satorra-Bentler correction.
means (Coverage Rate > 0.9) criterion met.
Note. ML means maximum likelihood. SB means Satorra-Bentler correction.
means (Coverage Rate > 0.9) criterion met.