|  |  | One-step maximization | EM algorithm | EM algorithm - subset | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
N cases | True π | Scenario | mean | (sd) | range | N 0-1 | mean | (sd) | range | N 0-1 | mean | (sd) | range | N 0-1 |
100 | 0.10 | 1: μ=−2;σ=1.5 | 0.127 | (0.126) | 0.010-1.000 | 0-7 | 0.086 | (0.036) | 0.010-0.202 | 0-0 | 0.076 | (0.037) | 0.034-0.138 | 0-0 |
 |  | 2: μ=−1;σ=1.0 | 0.105 | (0.038) | 0.020-0.234 | 0-0 | 0.099 | (0.033) | 0.020-0.212 | 0-0 |  |  |  |  |
 |  | 3: μ=0.7σ=0.3 | 0.101 | (0.031) | 0.030-0.220 | 0-0 | 0.101 | (0.031) | 0.030-0.220 | 0-0 |  |  |  |  |
 | 0.25 | 1: μ=−2;σ=1.5 | 0.259 | (0.091) | 0.079-0.729 | 0-0 | 0.214 | (0.051) | 0.077-0.387 | 0-0 |  |  |  |  |
 |  | 2: μ=−1;σ=1.0 | 0.250 | (0.049) | 0.121-0.387 | 0-0 | 0.245 | (0.047) | 0.121-0.377 | 0-0 |  |  |  |  |
 |  | 3: μ=0.7σ=0.3 | 0.252 | (0.043) | 0.130-0.380 | 0-0 | 0.252 | (0.043) | 0.130-0.380 | 0-0 |  |  |  |  |
 | 0.50 | 1: μ=−2;σ=1.5 | 0.518 | (0.113) | 0.245-0.881 | 0-0 | 0.440 | (0.066) | 0.230-0.621 | 0-0 |  |  |  |  |
 |  | 2: μ=−1;σ=1.0 | 0.498 | (0.055) | 0.325-0.640 | 0-0 | 0.490 | (0.054) | 0.319-0.624 | 0-0 |  |  |  |  |
 |  | 3: μ=0.7σ=0.3 | 0.498 | (0.049) | 0.350-0.620 | 0-0 | 0.498 | (0.049) | 0.350-0.620 | 0-0 |  |  |  |  |
 | 0.75 | 1: μ=−2;σ=1.5 | 0.756 | (0.116) | 0.495-1.000 | 0-31 | 0.662 | (0.068) | 0.477-0.924 | 0-0 | 0.758 | (0.052) | 0.623-0.924 | 0-0 |
 |  | 2: μ=−1;σ=1.0 | 0.747 | (0.050) | 0.616-0.881 | 0-0 | 0.738 | (0.049) | 0.609-0.875 | 0-0 |  |  |  |  |
 |  | 3: μ=0.7σ=0.3 | 0.748 | (0.043) | 0.630-0.850 | 0-0 | 0.748 | (0.043) | 0.630-0.850 | 0-0 |  |  |  |  |
50 | 0.10 | 1: μ=−2;σ=1.5 | 0.138 | (0.193) | 0.000-1.000 | 19-18 | 0.083 | (0.049) | 0.000-0.265 | 11-0 | 0.083 | (0.070) | 0.000-0.265 | 11-0 |
 |  | 2: μ=−1;σ=1.0 | 0.113 | (0.079) | 0.000-1.000 | 4-1 | 0.101 | (0.048) | 0.000-0.272 | 3-0 | 0.038 | (0.056) | 0.000-0.125 | 3-0 |
 |  | 3: μ=0.7σ=0.3 | 0.100 | (0.042) | 0.000-0.260 | 2-0 | 0.100 | (0.042) | 0.000-0.260 | 2-0 | 0 | (0.000) | 0.000-0.000 | 2-0 |
 | 0.25 | 1: μ=−2;σ=1.5 | 0.270 | (0.145) | 0.043-1.000 | 0-4 | 0.210 | (0.071) | 0.043-0.456 | 0-0 | 0.194 | (0.049) | 0.122-0.234 | 0-0 |
 |  | 2: μ=−1;σ=1.0 | 0.255 | (0.076) | 0.100-0.714 | 0-0 | 0.245 | (0.064) | 0.101-0.447 | 0-0 |  |  |  |  |
 |  | 3: μ=0.7σ=0.3 | 0.248 | (0.061) | 0.100-0.440 | 0-0 | 0.248 | (0.061) | 0.100-0.440 | 0-0 |  |  |  |  |
 | 0.50 | 1: μ=−2;σ=1.5 | 0.520 | (0.154) | 0.222-1.000 | 0-7 | 0.441 | (0.091) | 0.212-0.804 | 0-0 | 0.64 | (0.097) | 0.494-0.804 | 0-0 |
 |  | 2: μ=−1;σ=1.0 | 0.501 | (0.075) | 0.296-0.739 | 0-0 | 0.492 | (0.073) | 0.293-0.713 | 0-0 |  |  |  |  |
 |  | 3: μ=0.7σ=0.3 | 0.498 | (0.069) | 0.320-0.700 | 0-0 | 0.498 | (0.069) | 0.320-0.700 | 0-0 |  |  |  |  |
 | 0.75 | 1: μ=−2;σ=1.5 | 0.747 | (0.143) | 0.480-1.000 | 0-52 | 0.659 | (0.091) | 0.469-0.933 | 0-0 | 0.783 | (0.072) | 0.650-0.933 | 0-0 |
 |  | 2: μ=−1;σ=1.0 | 0.746 | (0.075) | 0.530-1.000 | 0-2 | 0.736 | (0.071) | 0.527-0.938 | 0-0 | 0.926 | (0.018) | 0.913-0.938 | 0-0 |
 |  | 3: μ=0.7σ=0.3 | 0.746 | (0.060) | 0.600-0.920 | 0-0 | 0.746 | (0.060) | 0.600-0.920 | 0-0 |  |  |  |  |
25 | 0.10 | 1: μ=−2;σ=1.5 | 0.128 | (0.197) | 0.000-1.000 | 101-18 | 0.099 | (0.079) | 0.000-0.443 | 46-0 | 0.088 | (0.112) | 0.000-0.441 | 46-0 |
 |  | 2: μ=−1;σ=1.0 | 0.118 | (0.121) | 0.000-1.000 | 46-4 | 0.103 | (0.063) | 0.000-0.365 | 26-0 | 0.056 | (0.084) | 0.000-0.365 | 26-0 |
 |  | 3: μ=0.7σ=0.3 | 0.103 | (0.061) | 0.000-0.330 | 29-0 | 0.101 | (0.056) | 0.000-0.280 | 22-0 | 0.018 | (0.045) | 0.000-0.228 | 22-0 |
 | 0.25 | 1: μ=−2;σ=1.5 | 0.276 | (0.192) | 0.000-1.000 | 6-9 | 0.216 | (0.103) | 0.039-0.543 | 0-0 | 0.222 | (0.108) | 0.039-0.432 | 0-0 |
 |  | 2: μ=−1;σ=1.0 | 0.262 | (0.110) | 0.040-1.000 | 0-1 | 0.246 | (0.092) | 0.040-0.618 | 0-0 | 0.176 |  | 0.176-0.176 | 0-0 |
 |  | 3: μ=0.7σ=0.3 | 0.250 | (0.087) | 0.040-0.520 | 0-0 | 0.249 | (0.088) | 0.040-0.520 | 0-0 |  |  |  |  |
 | 0.50 | 1: μ=−2;σ=1.5 | 0.515 | (0.198) | 0.122-1.000 | 0-19 | 0.433 | (0.124) | 0.109-0.878 | 0-0 | 0.622 | (0.145) | 0.384-0.878 | 0-0 |
 |  | 2: μ=−1;σ=1.0 | 0.505 | (0.110) | 0.201-1.000 | 0-1 | 0.492 | (0.102) | 0.201-0.846 | 0-0 | 0.490 |  | 0.490-0.490 | 0-0 |
 |  | 3: μ=0.7σ=0.3 | 0.500 | (0.096) | 0.200-0.760 | 0-0 | 0.500 | (0.096) | 0.200-0.760 | 0-0 |  |  |  |  |
 | 0.75 | 1: μ=−2;σ=1.5 | 0.752 | (0.175) | 0.358-1.000 | 0-82 | 0.665 | (0.136) | 0.332-1.000 | 0-2 | 0.835 | (0.097) | 0.614-1.000 | 0-2 |
 |  | 2: μ=−1;σ=1.0 | 0.752 | (0.098) | 0.489-1.000 | 0-5 | 0.741 | (0.094) | 0.483-1.000 | 0-1 | 0.975 | (0.028) | 0.941-1.000 | 0-1 |
 |  | 3: μ=0.7σ=0.3 | 0.749 | (0.084) | 0.480-0.960 | 0-0 | 0.749 | (0.084) | 0.480-0.960 | 0-0 |  |  |  |  |