Table 2.
Parameter estimates for the two-class solution when the C on x path is omitted from the regression mixture model.
| True value |
Mean N=6,000 |
Std Error N=6,000 |
Bias N=6,000 |
RMSE N=6,000 |
Coverage N=6,000 |
Mean N=2,000 |
Std Error N=2,000 |
Bias N=2,000 |
RMSE N=2,000 |
Coverage N=2,000 |
|
|---|---|---|---|---|---|---|---|---|---|---|---|
| Class separation at sd=0 | |||||||||||
| Class 1 | |||||||||||
| Intercept | 0 | −.007 | .052 | −0.007 | .049 | .964 | −.030 | .107 | −0.030 | .126 | .940 |
| Slope | .2 | .196 | .044 | −0.004 | .046 | .952 | .189 | .082 | −0.011 | .083 | .932 |
| Residual | .96 | .958 | .039 | −0.002 | .077 | .942 | .941 | .077 | −0.019 | .093 | .948 |
| Class 2 | |||||||||||
| Intercept | .5 | .500 | .036 | 0.000 | .061 | .936 | .505 | .065 | 0.005 | .072 | .936 |
| Slope | .7 | .698 | .033 | −0.002 | .042 | .932 | .696 | .061 | −0.004 | .062 | .918 |
| Residual | .51 | .509 | .044 | −0.001 | .053 | .920 | .505 | .080 | −0.005 | .082 | .900 |
| Class 1 mean | 0 | −.011 | .252 | −0.011 | .260 | .924 | −.054 | .477 | −0.054 | .490 | .920 |
| Class separation at sd=.5 | |||||||||||
| Class 1 | |||||||||||
| Intercept | 0 | −.047 | .046 | −0.047 | .067 | .894 | −.056 | .104 | −0.056 | .116 | .932 |
| Slope | .2 | .199 | .030 | −0.001 | .032 | .942 | .196 | .055 | −0.004 | .054 | .948 |
| Residual | .96 | .871 | .035 | −0.089 | .106 | .271 | .864 | .073 | −0.096 | .123 | .665 |
| Class 2 | |||||||||||
| Intercept | .5 | .540 | .040 | 0.040 | .067 | .822 | .542 | .075 | 0.042 | .091 | .902 |
| Slope | .7 | .706 | .039 | 0.006 | .046 | .922 | .710 | .079 | 0.010 | .078 | .912 |
| Residual | .51 | .476 | .044 | −0.034 | .062 | .860 | .470 | .083 | −0.040 | .094 | .878 |
| Class 1 mean | 0 | .323 | .228 | 0.323 | .424 | .619 | .343 | .472 | 0.343 | .560 | .808 |
| Class separation at sd=1 | |||||||||||
| Class 1 | |||||||||||
| Intercept | 0 | −.084 | .046 | −0.084 | .097 | .586 | −.112 | .090 | −0.112 | .159 | .830 |
| Slope | .2 | .208 | .024 | 0.008 | .045 | .870 | .198 | .044 | −0.002 | .045 | .938 |
| Residual | .96 | .815 | .032 | −0.145 | .206 | .014 | .797 | .061 | −0.163 | .180 | .236 |
| Class 2 | |||||||||||
| Intercept | .5 | .563 | .050 | 0.063 | .139 | .691 | .561 | .089 | 0.061 | .109 | .860 |
| Slope | .7 | .700 | .050 | 0.000 | .085 | .823 | .693 | .086 | −0.007 | .087 | .884 |
| Residual | .51 | .460 | .050 | −0.050 | .112 | .685 | .464 | .084 | −0.046 | .097 | .864 |
| Class 1 mean | 0 | .593 | .256 | 0.593 | .638 | .403 | .548 | .460 | 0.548 | .736 | .631 |
| Class separation at sd=2 | |||||||||||
| Class 1 | |||||||||||
| Intercept | 0 | −.197 | .053 | −0.197 | .205 | .019 | −.217 | .099 | −0.217 | .246 | .261 |
| Slope | .2 | .231 | .020 | 0.031 | .174 | .270 | .223 | .037 | 0.023 | .059 | .741 |
| Residual | .96 | .744 | .031 | −0.216 | .545 | .000 | .738 | .058 | −0.222 | .257 | .058 |
| Class 2 | |||||||||||
| Intercept | .5 | .519 | .074 | 0.019 | .438 | .006 | .524 | .126 | 0.024 | .194 | .776 |
| Slope | .7 | .645 | .063 | −0.055 | .275 | .127 | .652 | .100 | −0.048 | .132 | .733 |
| Residual | .51 | .488 | .061 | −0.022 | .060 | .907 | .470 | .099 | −0.040 | .144 | .726 |
| Class 1 mean | 0 | .769 | .341 | 0.769 | .501 | .804 | .759 | .573 | 0.759 | .979 | .603 |
Note: Estimates for replications that selected the two-class solution using the Bayesian Information Criterion (BIC) are reported only; Class 1 mean refers to the probability of being in Class 1 over Class 2 (logit scale), a true value of 0 indicates classes were generated to be balanced. C indicates the latent class variable, x indicates the predictor, RMSE=Root Mean Squared Error, sd=standard deviation, N=sample size. Bolded values point to areas of poor performance.