Table 1 Empirical FDR and mean true rejections
From: Multiple testing for gene sets from microarray experiments
q* = 0.01 | q* = 0.05 | q* = 0.1 | q* = 0.2 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
( m k , K ) | K 1 | D / m | ( ρ 1 , ρ 2 ) |
|
|
|
|
|
|
|
|
(50,20) | 1 | 0.2 | (0, 0) | 0.010 | 0.10 | 0.063 | 0.25 | 0.105 | 0.35 | 0.189 | 0.46 |
(0.2, 0.2) | 0.015 | 0.08 | 0.053 | 0.28 | 0.128 | 0.38 | 0.231 | 0.45 | |||
(0.4, 0.4) | 0.013 | 0.12 | 0.045 | 0.25 | 0.087 | 0.36 | 0.215 | 0.47 | |||
0.5 | (0, 0) | 0.011 | 0.72 | 0.060 | 0.88 | 0.107 | 0.95 | 0.220 | 0.98 | ||
(0.2, 0.2) | 0.015 | 0.71 | 0.051 | 0.89 | 0.122 | 0.94 | 0.212 | 0.97 | |||
(0.4, 0.4) | 0.005 | 0.74 | 0.071 | 0.89 | 0.115 | 0.94 | 0.266 | 0.95 | |||
0.8 | (0, 0) | 0.013 | 0.97 | 0.057 | 1.00 | 0.106 | 1.00 | 0.215 | 1.00 | ||
(0.2, 0.2) | 0.013 | 0.98 | 0.065 | 1.00 | 0.138 | 1.00 | 0.235 | 1.00 | |||
(0.4, 0.4) | 0.018 | 0.97 | 0.078 | 1.00 | 0.124 | 1.00 | 0.253 | 1.00 | |||
5 | 0.2 | (0, 0) | 0.025 | 0.72 | 0.067 | 1.70 | 0.136 | 2.51 | 0.239 | 3.56 | |
(0.2, 0.2) | 0.009 | 0.68 | 0.056 | 1.79 | 0.127 | 2.63 | 0.235 | 3.59 | |||
(0.4, 0.4) | 0.011 | 0.74 | 0.058 | 1.82 | 0.118 | 2.46 | 0.232 | 3.55 | |||
0.5 | (0, 0) | 0.007 | 4.44 | 0.058 | 4.94 | 0.124 | 4.97 | 0.227 | 5.00 | ||
(0.2, 0.2) | 0.013 | 4.46 | 0.056 | 4.90 | 0.118 | 4.97 | 0.214 | 4.99 | |||
(0.4, 0.4) | 0.012 | 4.44 | 0.074 | 4.87 | 0.137 | 4.96 | 0.239 | 5.00 | |||
0.8 | (0, 0) | 0.012 | 4.99 | 0.066 | 5.00 | 0.120 | 5.00 | 0.235 | 5.00 | ||
(0.2, 0.2) | 0.011 | 5.00 | 0.056 | 5.00 | 0.105 | 5.00 | 0.200 | 5.00 | |||
(0.4, 0.4) | 0.011 | 4.98 | 0.053 | 5.00 | 0.101 | 5.00 | 0.218 | 5.00 | |||
(20,50) | 1 | 0.2 | (0, 0) | 0.008 | 0.04 | 0.055 | 0.13 | 0.092 | 0.21 | 0.185 | 0.25 |
(0.2, 0.2) | 0.015 | 0.04 | 0.051 | 0.10 | 0.128 | 0.15 | 0.219 | 0.21 | |||
(0.4, 0.4) | 0.005 | 0.06 | 0.050 | 0.10 | 0.110 | 0.14 | 0.198 | 0.22 | |||
0.5 | (0, 0) | 0.013 | 0.45 | 0.048 | 0.63 | 0.118 | 0.72 | 0.240 | 0.82 | ||
(0.2, 0.2) | 0.010 | 0.43 | 0.077 | 0.64 | 0.122 | 0.72 | 0.223 | 0.80 | |||
(0.4, 0.4) | 0.010 | 0.49 | 0.072 | 0.68 | 0.112 | 0.76 | 0.214 | 0.83 | |||
0.8 | (0, 0) | 0.010 | 0.86 | 0.043 | 0.97 | 0.113 | 0.99 | 0.222 | 0.99 | ||
(0.2, 0.2) | 0.015 | 0.89 | 0.048 | 0.98 | 0.115 | 0.98 | 0.208 | 0.98 | |||
(0.4, 0.4) | 0.013 | 0.86 | 0.052 | 0.96 | 0.102 | 0.99 | 0.201 | 1.00 | |||
5 | 0.2 | (0, 0) | 0.013 | 0.31 | 0.054 | 0.76 | 0.121 | 1.08 | 0.210 | 1.64 | |
(0.2, 0.2) | 0.010 | 0.28 | 0.039 | 0.57 | 0.102 | 0.89 | 0.224 | 1.56 | |||
(0.4, 0.4) | 0.015 | 0.18 | 0.062 | 0.57 | 0.103 | 0.94 | 0.195 | 1.59 | |||
0.5 | (0, 0) | 0.011 | 3.03 | 0.055 | 4.03 | 0.107 | 4.43 | 0.201 | 4.75 | ||
(0.2, 0.2) | 0.008 | 3.01 | 0.054 | 4.11 | 0.104 | 4.44 | 0.218 | 4.77 | |||
(0.4, 0.4) | 0.016 | 3.22 | 0.058 | 4.16 | 0.103 | 4.50 | 0.203 | 4.72 | |||
0.8 | (0, 0) | 0.010 | 4.74 | 0.054 | 4.91 | 0.112 | 4.95 | 0.224 | 4.99 | ||
(0.2, 0.2) | 0.011 | 4.76 | 0.054 | 4.94 | 0.111 | 4.97 | 0.212 | 4.98 | |||
(0.4, 0.4) | 0.012 | 4.73 | 0.054 | 4.93 | 0.110 | 4.96 | 0.201 | 4.99 | |||
