Research Article
Testing Homogeneity in a Semiparametric Two-Sample Problem
Table 1
Type I error and power comparisons () of the EM test and the score test (SC test) for log-normal model: .
| | | Level | | | | SC test |
| 0 | | 10 | 11.9 | 12.2 | 12.2 | 11.5 | 0 | | 5 | 6.3 | 6.5 | 6.5 | 6.4 | 0 | | 1 | 1.6 | 1.6 | 1.6 | 1.9 | | | | | | | | 0.1 | 1 | 10 | 14.8 | 14.5 | 14.5 | 14.6 | 0.1 | 1 | 5 | 8.5 | 8.6 | 8.6 | 8.6 | 0.1 | 1 | 1 | 2.5 | 2.5 | 2.5 | 2.4 | | | | | | | | 0.1 | 2 | 10 | 27.2 | 28.1 | 28 | 25.6 | 0.1 | 2 | 5 | 17.8 | 18.4 | 18.4 | 16.7 | 0.1 | 2 | 1 | 6.6 | 6.7 | 6.7 | 6.2 | | | | | | | | 0.1 | 3 | 10 | 47.1 | 48.3 | 48.3 | 41.4 | 0.1 | 3 | 5 | 34.2 | 35.6 | 35.4 | 30.8 | 0.1 | 3 | 1 | 15.4 | 15.6 | 15.6 | 14.9 | | | | | | | | 0.2 | 1 | 10 | 25.5 | 25.9 | 26 | 25.6 | 0.2 | 1 | 5 | 16.4 | 16.4 | 16.4 | 17 | 0.2 | 1 | 1 | 5.4 | 5.3 | 5.3 | 5.7 | | | | | | | | 0.2 | 2 | 10 | 62.2 | 62.7 | 62.7 | 56.7 | 0.2 | 2 | 5 | 50.6 | 51.3 | 51.2 | 45.9 | 0.2 | 2 | 1 | 28.4 | 28.5 | 28.5 | 24.7 | | | | | | | | 0.2 | 3 | 10 | 88.3 | 88.8 | 88.8 | 81 | 0.2 | 3 | 5 | 81 | 82.3 | 82.3 | 73.4 | 0.2 | 3 | 1 | 61.7 | 61.9 | 61.9 | 51.5 | | | | | | | | 0.3 | 1 | 10 | 43.3 | 42.9 | 42.8 | 42.8 | 0.3 | 1 | 5 | 31.3 | 31.1 | 31.1 | 31.6 | 0.3 | 1 | 1 | 14.2 | 14.2 | 14.2 | 13.9 | | | | | | | | 0.3 | 2 | 10 | 88.1 | 88.5 | 88.5 | 84.2 | 0.3 | 2 | 5 | 80.8 | 80.8 | 80.8 | 76.8 | 0.3 | 2 | 1 | 61.5 | 61.5 | 61.5 | 55.3 | | | | | | | | 0.3 | 3 | 10 | 99.3 | 99.3 | 99.3 | 97 | 0.3 | 3 | 5 | 98 | 98.2 | 98.2 | 94.8 | 0.3 | 3 | 1 | 93 | 93.2 | 93.2 | 85.2 |
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