Table 7. For a 3 × 5 contingency table, frequency (Freq) and proportion (Prop) of simulated data having at least one cell is significant based on either TAdjR or exact p-value, from a total of 2 million simulations.
ΓAsy and ΓExact are the number of cells with significant p-values by using the asymptotic approach and the exact approach, respectively.
N = 50 | N = 100 | N = 300 | N = 500 | |||||
---|---|---|---|---|---|---|---|---|
Freq | Prop | Freq | Prop | Freq | Prop | Freq | Prop | |
ΓAsy = ΓExact > 0 | 27157 | 27.72 | 39202 | 39.40 | 54207 | 55.71 | 60262 | 62.71 |
ΓAsy > ΓExact = 0 | 64211 | 65.53 | 51568 | 51.83 | 34503 | 35.46 | 28220 | 29.37 |
ΓAsy > ΓExact > 0 | 6614 | 6.75 | 8427 | 8.47 | 8269 | 8.50 | 7373 | 7.67 |
ΓExact > ΓAsy = 0 | 0 | 0.00 | 268 | 0.27 | 267 | 0.27 | 196 | 0.20 |
ΓExact > ΓAsy > 0 | 0 | 0.00 | 23 | 0.02 | 58 | 0.06 | 42 | 0.04 |
Total | 97982 | 100 | 99488 | 100 | 97304 | 100 | 96093 | 100 |