Table 3.
Empirical power of stratified Fisher's test/unstratified Fisher's test/Mantel-Haenszel test with one-sided α* = 0.05, J = 2 strata, and q1 = 0.1
| a 1 | (b1, b2) | q 2 | (θ1, θ2) = (1, 1) | (5,10) | (7.5,7.5) | (10,5) |
|---|---|---|---|---|---|---|
| (a) N = 25 | ||||||
| .25 | (1/4, 3/4) | .3 | .0094/.0354/.0370 | .4812/.7864/.6809 | .4305/.7230/.6332 | .3470/.5989/.5387 |
| .7 | .0149/.1785/.0572 | .2464/.7160/.5062 | .2556/.7143/.5011 | .2395/.6782/.4642 | ||
| (1/2, 1/2) | .3 | .0179/.0176/.0522 | .6164/.5878/.7595 | .5764/.5762/.7179 | .4668/.4855/.6261 | |
| .7 | .0161/.0189/.0493 | .2608/.2398/.5003 | .2909/.2693/.5202 | .2803/.2671/.4854 | ||
| (3/4, 1/4) | .3 | .0171/.0055/.0599 | .4447/.2817/.6448 | .4061/.3229/.6053 | .3354/.3220/.5223 | |
| .7 | .0059/.0007/.0314 | .0847/.0211/.2523 | .1073/.0354/.2934 | .1192/.0435/.3024 | ||
| .5 | (1/4, 3/4) | .3 | .0101/.0560/.0476 | .3750/.7984/.5898 | .4091/.7852/.6219 | .3862/.7073/.5919 |
| .7 | .0157/.2987/.0668 | .2285/.8140/.4737 | .2847/.8356/.5371 | .3156/.8318/.5563 | ||
| (1/2, 1/2) | .3 | .0118/.0120/.0455 | .4852/.4608/.6653 | .5366/.5253/.6958 | .5055/.5131/.6689 | |
| .7 | .0164/.0210/.0507 | .2564/.2177/.4796 | .3441/.2914/.5603 | .3980/.3447/.6036 | ||
| (3/4, 1/4) | .3 | .0130/.0032/.0542 | .3260/.1740/.5389 | .3627/.2698/.5717 | .3467/.3266/.5583 | |
| .7 | .0052/.0001/.0255 | .0951/.0146/.2684 | .1547/.0308/.3673 | .2019/.0511/.4286 | ||
| .75 | (1/4, 3/4) | .3 | .0096/.0380/.0564 | .2830/.6508/.5041 | .3815/.6876/.5959 | .4382/.6830/.6485 |
| .7 | .0125/.2124/.0669 | .2238/.6819/.4463 | .3325/.7500/.5620 | .4054/.7967/.6364 | ||
| (1/2, 1/2) | .3 | .0104/.0106/.0425 | .3572/.3681/.5478 | .4739/.4814/.6543 | .5553/.5570/.7143 | |
| .7 | .0097/.0166/.0478 | .2514/.2274/.4532 | .3981/.3510/.5950 | .5014/.4460/.6863 | ||
| (3/4, 1/4) | .3 | .0033/.0009/.0321 | .1904/.1315/.3921 | .2896/.2468/.5013 | .3479/.3443/.5649 | |
| .7 | .0019/.0004/.0162 | .0999/.0258/.2703 | .1980/.0592/.4100 | .2937/.1077/.5202 | ||
| (b) N = 50 | ||||||
| .25 | (1/4, 3/4) | .3 | .0188/.0808/.0419 | .8271/.9837/.9073 | .7918/.9713/.8816 | .6851/.9156/.7950 |
| .7 | .0228/.3873/.0525 | .5607/.9696/.7422 | .5702/.9702/.7431 | .5318/.9555/.7115 | ||
| (1/2, 1/2) | .3 | .0287/.0272/.0540 | .9343/.9174/.9657 | .9064/.8958/.9463 | .8343/.8353/.8983 | |
| .7 | .0219/.0278/.0460 | .6610/.5045/.7930 | .6856/.5609/.8058 | .6426/.5581/.7657 | ||
| (3/4, 1/4) | .3 | .0248/.0051/.0546 | .8273/.5754/.9048 | .7890/.6340/.8734 | .6789/.6166/.7898 | |
| .7 | .0170/.0002/.0473 | .4361/.0335/.6240 | .4653/.0614/.6427 | .4568/.0870/.6180 | ||
| .5 | (1/4, 3/4) | .3 | .0192/.1345/.0522 | .7341/.9864/.8457 | .7670/.9848/.8652 | .7416/.9670/.8373 |
| .7 | .0229/.6002/.0586 | .5288/.9872/.7099 | .6113/.9911/.7734 | .6658/.9930/.8047 | ||
| (1/2, 1/2) | .3 | .0208/.0212/.0498 | .8547/.8247/.9174 | .8818/.8670/.9344 | .8610/.8560/.9173 | |
| .7 | .0243/.0289/.0527 | .6250/.4701/.7606 | .7359/.5956/.8400 | .7785/.6685/.8656 | ||
| (3/4, 1/4) | .3 | .0199/.0014/.0507 | .7192/.3740/.8281 | .7542/.5538/.8476 | .7333/.6580/.8377 | |
| .7 | .0142/.0000/.0413 | .4254/.0163/.5971 | .5495/.0442/.7021 | .6067/.0854/.7388 | ||
| .75 | (1/4, 3/4) | .3 | .0181/.1024/.0550 | .6018/.9394/.7492 | .7407/.9580/.8486 | .7877/.9579/.8821 |
| .7 | .0197/.4640/.0624 | .4961/.9534/.6698 | .6632/.9773/.8036 | .7632/.9863/.8708 | ||
| (1/2, 1/2) | .3 | .0208/.0211/.0525 | .7304/.7025/.8277 | .8521/.8385/.9153 | .8978/.8935/.9425 | |
| .7 | .0206/.0250/.0521 | .6033/.4931/.7383 | .7891/.6826/.8764 | .8757/.7958/.9325 | ||
| (3/4, 1/4) | .3 | .0142/.0016/.0458 | .5771/.3242/.7119 | .7015/.5407/.8109 | .7597/.6874/.8567 | |
| .7 | .0083/.0000/.0321 | .4141/.0343/.5740 | .6104/.1125/.7415 | .7184/.2060/.8282 | ||
| (c) N = 75 | ||||||
| .25 | (1/4, 3/4) | .3 | .0250/.1274/.0474 | .9552/.9995/.9779 | .9335/.9980/.9639 | .8760/.9887/.9250 |
| .7 | .0279/.5583/.0554 | .7572/.9975/.8654 | .7694/.9969/.8714 | .7293/.9949/.8366 | ||
| (1/2, 1/2) | .3 | .0262/.0279/.0472 | .9917/.9872/.9961 | .9844/.9806/.9919 | .9561/.9538/.9726 | |
| .7 | .0291/.0316/.0519 | .8660/.7010/.9223 | .8730/.7500/.9236 | .8442/.7538/.8998 | ||
| (3/4, 1/4) | .3 | .0249/.0028/.0559 | .9545/.7684/.9761 | .9339/.8248/.9646 | .8701/.8162/.9197 | |
| .7 | .0235/.0001/.0467 | .7096/.0394/.8142 | .7305/.0862/.8230 | .7008/.1235/.7999 | ||
| .5 | (1/4, 3/4) | .3 | .0230/.1974/.0472 | .9042/.9993/.9472 | .9214/.9995/.9586 | .9059/.9976/.9490 |
| .7 | .0266/.7866/.0547 | .7246/.9999/.8375 | .8066/.9996/.8946 | .8395/.9999/.9145 | ||
| (1/2, 1/2) | .3 | .0245/.0258/.0498 | .9660/.9506/.9818 | .9768/.9694/.9873 | .9686/.9661/.9812 | |
| .7 | .0280/.0307/.0544 | .8388/.6587/.9044 | .9096/.7792/.9496 | .9294/.8395/.9611 | ||
| (3/4, 1/4) | .3 | .0234/.0013/.0487 | .8984/.5448/.9407 | .9153/.7408/.9519 | .9025/.8300/.9408 | |
| .7 | .0212/.0000/.0477 | .6646/.0130/.7738 | .7788/.0473/.8618 | .8244/.1121/.8891 | ||
| .75 | (1/4, 3/4) | .3 | .0238/.1521/.0543 | .8057/.9919/.8838 | .9024/.9964/.9468 | .9277/.9967/.9627 |
| .7 | .0238/.6531/.0567 | .6984/.9953/.8135 | .8531/.9983/.9209 | .9172/.9990/.9576 | ||
| (1/2, 1/2) | .3 | .0236/.0237/.0491 | .9092/.8914/.9491 | .9672/.9591/.9837 | .9830/.9786/.9907 | |
| .7 | .0249/.0317/.0527 | .8070/.6657/.8778 | .9352/.8521/.9631 | .9751/.9312/.9873 | ||
| (3/4, 1/4) | .3 | .0193/.0016/.0469 | .7965/.4821/.8670 | .8917/.7363/.9323 | .9260/.8699/.9581 | |
| . | .7 | .0171/.0000/.0413 | .6444/.0400/.7582 | .8299/.1583/.8996 | .9038/.3032/.9475 | |