Skip to main content
. 2022 May 31;23:207. doi: 10.1186/s12859-022-04739-2

Table 2.

Probability of declaring equivalence (pr(Rej) normal test, prB(Rej) bootstrap test) for a simulated dissimilarity equal to the equivalence limit, dS=d0. n=1000 stands for the total number of GO terms, with pij probabilities of enrichment.

nSim dS d0 p11 p01 p10 pr(Rej) prB(Rej) E(ν)
99433 0.2857 0.2857 0.01250 0.005 0.005 0.0807 0.0251 22.50
99994 0.2857 0.2857 0.01875 0.005 0.010 0.0741 0.0371 33.75
100000 0.2857 0.2857 0.02500 0.010 0.010 0.0706 0.0417 45.00
100000 0.2857 0.2857 0.06875 0.005 0.050 0.0617 0.0485 123.75
100000 0.2857 0.2857 0.07500 0.010 0.050 0.0614 0.0483 135.00
100000 0.2857 0.2857 0.12500 0.050 0.050 0.0591 0.0500 225.00
100000 0.2857 0.2857 0.13125 0.005 0.100 0.0584 0.0493 236.25
100000 0.2857 0.2857 0.13750 0.010 0.100 0.0583 0.0496 247.50
100000 0.2857 0.2857 0.18750 0.050 0.100 0.0568 0.0499 337.50
100000 0.2857 0.2857 0.25000 0.100 0.100 0.0558 0.0497 450.00
100000 0.2857 0.2857 0.25625 0.005 0.200 0.0558 0.0498 461.25
100000 0.2857 0.2857 0.26250 0.010 0.200 0.0559 0.0497 472.50
100000 0.2857 0.2857 0.31250 0.050 0.200 0.0548 0.0494 562.50
100000 0.2857 0.2857 0.37500 0.100 0.200 0.0541 0.0490 675.00
100000 0.2857 0.2857 0.50000 0.200 0.200 0.0538 0.0495 900.00

E(ν) is the expected total number of enriched terms. nsim corresponds to the number of effective simulation replicates (over an initial number of 105) to obtain prB(Rej) (nsim×B test computations, B=10000; pr(Rej) was based on an initial number of 106 simulation replicates). In some scenarios with low pij, the generated tables contained zeros making impossible the Sorensen–Dice computations, so the effective number of simulation replicates was lower than what was initially planned