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Table 3 Type I error rates of ZMTT(0), ZMTT(0.5), ZMTT(1), ZSGMS, ZSGME, ZMAX3 and Z χ 2 with 2 df for small sample size.

From: Robust tests for matched case-control genetic association studies

Scenario

α

ZMTT(0)

ZMTT(0.5)

ZMTT(1)

Z SGMS

Z SGME

Z MAX3

Z χ 2

A*

0.05

0.0474

0.0501

0.0487

0.0493

0.0495

0.0452

0.0502

B*

 

0.0531

0.0479

0.0497

0.0480

0.0485

0.0462

0.0503

C*

 

0.0569

0.0526

0.0489

0.0507

0.0526

0.0516

0.0488

D*

 

0.0470

0.0480

0.0516

0.0482

0.0484

0.0488

0.0503

E*

 

0.0492

0.0498

0.0489

0.0518

0.0511

0.0535

0.0498

F*

 

0.0519

0.0503

0.0514

0.0535

0.0537

0.0486

0.0489

G*

 

0.0484

0.0505

0.0526

0.0483

0.0466

0.0551

0.0502

H*

 

0.0504

0.0453

0.0451

0.0451

0.0456

0.0484

0.0504

A*

0.01

0.0076

0.0083

0.0092

0.0102

0.0089

0.0108

0.0126

B*

 

0.0075

0.0091

0.0097

0.0078

0.0088

0.0086

0.0081

C*

 

0.0078

0.0089

0.0096

0.0082

0.0084

0.0126

0.0092

D*

 

0.0080

0.0095

0.0116

0.0093

0.0092

0.0111

0.0099

E*

 

0.0072

0.0093

0.0098

0.0099

0.0092

0.0091

0.0120

F*

 

0.0087

0.0081

0.0089

0.0085

0.0081

0.0091

0.0116

G*

 

0.0077

0.0120

0.0120

0.0113

0.0125

0.0081

0.0102

H*

 

0.0079

0.0087

0.0088

0.0073

0.0081

0.0098

0.0095

  1. The results are simulated based on 10,000 replicates in the presence of confounding factors with the significance level α using R cases and S controls.
  2. A*: R = (15, 15, 20), S = (30, 30, 40), P = (0.1, 0.3, 0.5), K = (0.01, 0.05, 0.02)
  3. B*: R = (10, 30, 10), S = (20, 60, 20), P = (0.1, 0.3, 0.5), K = (0.01, 0.05, 0.02)
  4. C*: R = (30, 30, 40), S = (30, 30, 40), P = (0.1, 0.3, 0.5), K = (0.01, 0.05, 0.02)
  5. D*: R = (20, 60, 20), S = (20, 60, 20), P = (0.1, 0.3, 0.5), K = (0.01, 0.05, 0.02)
  6. E*: R = (25, 25), S = (50, 50), P = (0.2, 0.4), K = (0.01, 0.02)
  7. F*: R = (15, 35), S = (30, 70), P = (0.2, 0.4), K = (0.01, 0.02)
  8. G*: R = (50, 50), S = (50, 50), P = (0.2, 0.4), K = (0.01, 0.02)
  9. H*: R = (30, 70), S = (30, 70), P = (0.2, 0.4), K = (0.01, 0.02)