Skip to main content
. Author manuscript; available in PMC: 2023 Jan 18.
Published in final edited form as: Stat Med. 2021 Jan 6;40(7):1639–1652. doi: 10.1002/sim.8861

TABLE 5.

True discovery rate for the envelope test with partial differences (pro = 40% and pro = 10%)

Simulation scenario pro T 1 T 2 T 3 T 4 T 5 T 6
Scenario 2 pro = 40% 0.180 0.441 0.514 0.576 0.600 0.151
pro = 10% 0.088 0.343 0.440 0.526 0.565 0.152
Scenario 3 pro = 40% 0.554 0.959 0.991 0.994 0.999 0.042
pro = 10% 0.336 0.896 0.975 0.992 0.994 0.053
Scenario 4 pro = 40% 0.761 0.998 1.000 1.00 0 1.000 0.103
pro = 10% 0.526 0.981 0.998 1.000 1.000 0.122
Scenario 5 pro = 40% 0.844 0.998 1.000 1.000 1.000 0.318
pro = 10% 0.624 0.978 1.000 1.000 1.000 0.293

Notes: Results for the different scenarios analogous to Table 2 and 3, where the differences between control and test groups are in a random interval of length pro = 40% and pro = 10% of the domain. In all scenarios we are assuming a 5% outlier rate. Numbers represent true discovery rate defined as the proportion of points detected as different with the envelope test among those that are truly different. We excluded Scenario 1 where c = 1 since the two groups are generated from same process and therefore there are no truly different points. Results are based on the envelope test using test statistics T1, T2, T3, T4, T5, T6.