Skip to main content

# Table 1 Null and alternative hypotheses in simulated datasets

Category # of features Group 1 Group 2
1 5000 Gaussian with mean = 0 and variance = 1 Gaussian with mean = 0 and variance = 1
2 5000 Uniform in range $[ - 3 , 3 ]$ Uniform in range $[ - 3 , 3 ]$
3 50 Gaussian with mean = 0 and variance = 1 Gaussian with mean = -2 and variance = 1
4 150 Gaussian with mean = 0 and variance = 1 Gaussian with mean = 1 and variance = 1
5 150 Uniform in range $[ - 3 , 3 ]$ Uniform in range $[ 1 - 3 , 1 + 3 ]$
6 50 Uniform in range $[ - 3 , 3 ]$ Uniform in range $[ 1 . 5 - 3 , 1 . 5 + 3 ]$
1. Each simulation dataset has 10400 features, which are divided into six groups. The number of features in each group and the corresponding distributions are listed below. Category 1 and 2 are for null hypotheses features and category 3, 4, 5 and 6 are for alternative features. Particularly in Category 2, we use uniform distribution in range $[ - 3 , 3 ]$ to make the variance equal to 1. 