Table 4 Power Using Controls in All Tests. CCa= Pearson's Chi-Square with twice as many controls as cases. CCb= Pearson's Chi-Square with four times as many controls as cases. LR 1 = likelihood ratio test with 1 df, LR 2 = likelihood ratio test with 2 df. Both likelihood tests used twice as many controls as cases.

r1 = 1 r1 = $r 0 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaGcaaqaaiabdkhaYnaaBaaaleaacqaIWaamaeqaaaqabaaaaa@2F43@$ r1 = r0
LR 1 LR 2 LR 1 LR 2 LR 1 LR 2
q r 0 CCa CCb CCa CCb CCa CCb
50 Case Trios
.25 2.0 0.24 0.20 0.13 0.13 0.07 0.11
0.23 0.30 0.15 0.20 0.09 0.13
.50 2.0 0.51 0.42 0.21 0.19 0.06 0.11
0.46 0.55 0.23 0.28 0.08 0.09
.75 2.0 0.53 0.43 0.20 0.16 0.06 0.08
0.48 0.54 0.19 0.22 0.06 0.06
200 Case Trios
.25 2.0 0.69 0.60 0.35 0.33 0.11 0.27
0.64 0.72 0.42 0.50 0.21 0.25
.50 2.0 0.98 0.96 0.64 0.58 0.09 0.27
0.97 0.98 0.66 0.75 0.16 0.18
.75 2.0 0.98 0.96 0.61 0.53 0.06 0.13
0.97 0.99 0.59 0.66 0.07 0.07