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Table 1 Mean percentage of significant cases detected when the null hypothesis was always true.

From: A new multitest correction (SGoF) that increases its statistical power when increasing the number of tests

  N S S α SB BH SGoF
t-test 5 100 4.95 ± 0.421 0.042 ± 0.0139 0.046 ± 0.0171 0.047 ± 0.0306
  5 1000 5.02 ± 0.237 0.006 ± 0.0016 0.007 ± 0.0020 0.008 ± 0.0265
  5 10000 5.00 ± 0.129 0.001 ± 0.0002 0.001 ± 0.0002 0.002 ± 0.0116
  10 100 4.97 ± 0.412 0.063 ± 0.0184 0.068 ± 0.0209 0.042 ± 0.0485
  10 1000 4.97 ± 0.236 0.005 ± 0.0015 0.005 ± 0.0016 0.007 ± 0.0275
  10 10000 5.00 ± 0.130 0.000 ± 0.0001 0.000 ± 0.0002 0.002 ± 0.0079
  20 100 5.03 ± 0.419 0.045 ± 0.0157 0.052 ± 0.0194 0.045 ± 0.0294
  20 1000 4.99 ± 0.233 0.006 ± 0.0021 0.006 ± 0.0025 0.004 ± 0.0076
  20 10000 5.02 ± 0.130 0.001 ± 0.0001 0.001 ± 0.0002 0.002 ± 0.0087
    Mean 0.019 ± 0.0242 0.021 ± 0.0267 0.018 ± 0.0204
  20 100 5.16 ± 0.421 0.049 ± 0.0149 0.052 ± 0.0166 0.046 ± 0.0356
  20 1000 5.21 ± 0.239 0.004 ± 0.0014 0.004 ± 0.0017 0.014 ± 0.0157
G-test 20 10000 5.22 ± 0.133 0.001 ± 0.0001 0.001 ± 0.0003 0.019 ± 0.0558
  40 100 5.05 ± 0.427 0.084 ± 0.0217 0.092 ± 0.0282 0.066 ± 0.0546
  40 1000 5.12 ± 0.239 0.003 ± 0.0014 0.004 ± 0.0021 0.008 ± 0.0108
  40 10000 5.09 ± 0.132 0.001 ± 0.0002 0.001 ± 0.0002 0.005 ± 0.0215
    Mean 0.024 ± 0.0350 0.026 ± 0.0381 0.026 ± 0.0243
  1. Values are averages through 1,000 replicates and their ± standard deviations. The simulated null models were tested under t or homogeneity G tests (see text). N: sample size. S: number of tests. Sα: Percentage of significant tests. SB: Sequential Bonferroni. BH: Benjamini and Hochberg. SGoF: Sequential Goodness of Fit.
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