Table 4.
Likelihood Ratio Tests of One-Class Versus Two-Class Models (of 500 Samples).
| Distribution | VLMR-LRT | LMR-Adjusted LRT | BLRT |
|---|---|---|---|
| N = 200 | |||
| Skewness 0, kurtosis 0 | 67 (0.13) | 64 (0.13) | 25 (0.05) |
| Skewness 0, kurtosis 2 | 123 (0.25) | 119 (0.24) | 62 (0.12) |
| Skewness 0, kurtosis 4 | 138 (0.28) | 132 (0.26) | 72 (0.14) |
| Skewness 1, kurtosis 0 | 97 (0.19) | 88 (0.18) | 32 (0.06) |
| Skewness 1.6, kurtosis 0 | 118 (0.24) | 109 (0.22) | 35 (0.07) |
| N = 400 | |||
| Skewness 0, kurtosis 0 | 92 (0.18) | 85 (0.17) | 38 (0.08) |
| Skewness 0, kurtosis 2 | 169 (0.34) | 158 (0.32) | 57 (0.11) |
| Skewness 0, kurtosis 4 | 173 (0.35) | 167 (0.33) | 72 (0.14) |
| Skewness 1, kurtosis 0 | 148 (0.30) | 137 (0.27) | 45 (0.09) |
| Skewness 1.6, kurtosis 0 | 190 (0.38) | 183 (0.37) | 29 (0.06) |
| N = 800 | |||
| Skewness 0, kurtosis 0 | 89 (0.18) | 82 (0.16) | 25 (0.05) |
| Skewness 0, kurtosis 2 | 202 (0.40) | 198 (0.40) | 78 (0.16) |
| Skewness 0, kurtosis 4 | 245 (0.49) | 238 (0.48) | 127 (0.25) |
| Skewness 1, kurtosis 0 | 199 (0.40) | 187 (0.37) | 52 (0.10) |
| Skewness 1.6, kurtosis 0 | 343 (0.69) | 338 (0.68) | 153 (0.31) |
Note. VLMR-LRT = frequency with which the Voung–Lo–Mendell–Rubin likelihood ratio test for 1 class versus 2 classes rejected the “true” one-class solution (Type I error rates across replications). LMR-adjusted LRT = frequency with which the Lo–Mendell–Rubin adjusted likelihood ratio test for 1 class versus 2 classes rejected the “true” one-class solution (Type I error rates across replications). BLRT = frequency with which the bootstrap likelihood ratio test rejected the “true” one-class solution (Type I error rates across replications).