Table 3.
Simulation results for LCA with a binary distal outcome: Bias in proportion with Z = 1 given latent class membership
| Moderate Measurement | Strong Measurement | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Latent Class | Latent Class | ||||||||||
| Method | ES | 1 | 2 | 3 | 4 | 5 | 1 | 2 | 3 | 4 | 5 |
| n = 500 | |||||||||||
| Model | Zero | −0.003 | −0.000 | 0.009 | 0.005 | 0.006 | −0.000 | 0.002 | 0.002 | 0.002 | −0.002 |
| Assign | Zero | −0.002 | 0.001 | 0.002 | 0.002 | 0.004 | −0.000 | 0.002 | 0.003 | 0.002 | −0.002 |
| P-C | Zero | −0.002 | 0.000 | 0.003 | 0.002 | 0.004 | −0.000 | 0.002 | 0.002 | 0.002 | −0.001 |
| Model | Sm | −0.000 | 0.001 | −0.017 | −0.017 | −0.009 | −0.000 | −0.001 | −0.012 | −0.009 | −0.003 |
| Assign | Sm | 0.008 | 0.007 | −0.025 | −0.031 | −0.025 | 0.003 | 0.002 | −0.017 | −0.014 | −0.007 |
| P-C | Sm | 0.010 | 0.008 | −0.027 | −0.034 | −0.030 | 0.003 | 0.002 | −0.018 | −0.015 | −0.009 |
| Model | Med | 0.001 | 0.005 | −0.033 | −0.072 | −0.023 | 0.000 | 0.001 | −0.030 | −0.028 | −0.005 |
| Assign | Med | 0.023 | 0.020 | −0.066 | −0.097 | −0.078 | 0.009 | 0.006 | −0.050 | −0.041 | −0.018 |
| P-C | Med | 0.028 | 0.020 | −0.071 | −0.104 | −0.091 | 0.010 | 0.006 | −0.053 | −0.044 | −0.022 |
| Model | Lg | 0.010 | 0.003 | −0.037 | −0.115 | −0.029 | 0.001 | −0.001 | −0.034 | −0.027 | −0.008 |
| Assign | Lg | 0.039 | 0.028 | −0.103 | −0.150 | −0.113 | 0.012 | 0.008 | −0.074 | −0.056 | −0.026 |
| P-C | Lg | 0.046 | 0.030 | −0.111 | −0.159 | −0.135 | 0.013 | 0.009 | −0.080 | −0.061 | −0.032 |
| n = 1000 | |||||||||||
| Model | Zero | −0.000 | −0.001 | 0.003 | −0.002 | 0.001 | 0.001 | −0.000 | 0.001 | 0.003 | 0.001 |
| Assign | Zero | 0.000 | −0.000 | 0.002 | −0.003 | 0.001 | 0.002 | −0.000 | 0.000 | 0.002 | 0.001 |
| P-C | Zero | 0.000 | −0.000 | 0.002 | −0.002 | 0.000 | 0.001 | 0.000 | 0.001 | 0.002 | 0.001 |
| Model | Sm | −0.003 | 0.001 | −0.013 | −0.011 | −0.004 | 0.000 | −0.002 | −0.014 | −0.009 | 0.000 |
| Assign | Sm | 0.008 | 0.007 | −0.023 | −0.023 | −0.021 | 0.003 | 0.001 | −0.019 | −0.014 | −0.004 |
| P-C | Sm | 0.009 | 0.006 | −0.025 | −0.027 | −0.028 | 0.003 | 0.001 | −0.020 | −0.015 | −0.006 |
| Model | Med | −0.001 | −0.001 | −0.030 | −0.040 | −0.008 | 0.001 | −0.002 | −0.020 | −0.019 | −0.003 |
| Assign | Med | 0.023 | 0.015 | −0.070 | −0.077 | −0.061 | 0.009 | 0.006 | −0.048 | −0.037 | −0.016 |
| P-C | Med | 0.028 | 0.015 | −0.075 | −0.086 | −0.079 | 0.010 | 0.006 | −0.051 | −0.041 | −0.021 |
| Model | Lg | 0.003 | −0.002 | −0.016 | −0.061 | −0.010 | 0.000 | 0.001 | −0.018 | −0.022 | −0.005 |
| Assign | Lg | 0.035 | 0.022 | −0.105 | −0.115 | −0.091 | 0.012 | 0.011 | −0.075 | −0.056 | −0.024 |
| P-C | Lg | 0.042 | 0.023 | −0.112 | −0.130 | −0.120 | 0.013 | 0.010 | −0.081 | −0.062 | −0.032 |
Note: Model = model-based approach; Assign = maximum-probability assignment rule; P-C = multiple pseudo-class draws.