Table 3 The empirical Type I error rates (× 100) and power (× 100) for the six tests when methylation values generated from mixtures of two normal distributions. The numbers of non-diseased and diseased samples are (100, 100)
From: Robust joint score tests in the application of DNA methylation data analysis
Scenarios | Outlier | α(%) | jointLRT | KS | AW | iAW.Lev | iAW.BF | iAW.TM |
|---|---|---|---|---|---|---|---|---|
eqM&eqV | No | 5 | 2.4 | 3.8 | 4.9 | 9.4 | 5.4 | 12.3 |
(Type I error) | No | 1 | 0.4 | 0.7 | 0.8 | 3.2 | 1.3 | 4.5 |
No | 0.5 | 0.2 | 0.4 | 0.4 | 2.0 | 0.8 | 2.8 | |
diffM&eqV | No | 5 | 16.6 | 58.4 | 74.9 | 56.2 | 87.0 | 53.6 |
No | 1 | 4.0 | 30.8 | 55.1 | 26.6 | 65.8 | 25.5 | |
No | 0.5 | 2.3 | 25.5 | 45.1 | 17.8 | 53.9 | 19.6 | |
eqM&diffV | No | 5 | 34.5 | 98.1 | 55.1 | 88.8 | 57.8 | 69.9 |
No | 1 | 10.5 | 81.1 | 36.1 | 71.6 | 32.4 | 47.7 | |
No | 0.5 | 6.4 | 72.7 | 28.9 | 62.5 | 23.6 | 40.5 | |
diffM&diffV | No | 5 | 37.7 | 98.7 | 61.1 | 92.0 | 68.3 | 76.4 |
No | 1 | 12.0 | 85.2 | 41.5 | 77.2 | 42.6 | 54.3 | |
No | 0.5 | 7.8 | 78.1 | 34.0 | 68.3 | 32.2 | 46.7 | |
eqM&eqV | Yes | 5 | 25.0 | 3.9 | 2.8 | 6.5 | 4.8 | 8.1 |
(Type I error) | Yes | 1 | 6.8 | 0.7 | 0.4 | 1.4 | 1.0 | 2.1 |
Yes | 0.5 | 3.7 | 0.4 | 0.2 | 0.7 | 0.6 | 1.3 | |
diffM&eqV | Yes | 5 | 4.2 | 59.4 | 16.3 | 21.5 | 78.1 | 34.9 |
Yes | 1 | 1.1 | 32.1 | 5.1 | 5.2 | 55.7 | 9.8 | |
Yes | 0.5 | 0.5 | 26.5 | 3.3 | 3.5 | 44.7 | 5.2 | |
eqM&diffV | Yes | 5 | 0.6 | 97.4 | 14.4 | 80.2 | 49.6 | 63.3 |
Yes | 1 | 0.1 | 79.5 | 5.1 | 59.8 | 27.4 | 39.4 | |
Yes | 0.5 | 0.0 | 71.2 | 3.5 | 54.1 | 19.7 | 31.5 | |
diffM&diffV | Yes | 5 | 1.0 | 98.1 | 19.5 | 84.6 | 61.0 | 71.1 |
Yes | 1 | 0.2 | 83.6 | 7.5 | 65.7 | 37.5 | 47.0 | |
Yes | 0.5 | 0.1 | 76.8 | 5.6 | 60.1 | 27.9 | 38.1 |