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Table 1 Type I error rates of GMS and GME based on 10,000 replicates without confounding (Scenario 1) and in the presence of confounding factors (Scenarios 2-8), with the significance level 0.05 using r l cases and s l controls; p l is the risk allele frequency and k l is the prevalence, l = 1,2.

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

Scenario

r 1

r 2

s 1

s 2

p 1

p 2

k 1

k 2

GMS

GME

1

250

250

250

250

0.3

0.3

0.05

0.05

0.0510

0.0502

2

250

250

250

250

0.05

0.5

0.01

0.1

0.0199

0.0141

3

250

250

250

250

0.1

0.5

0.01

0.1

0.0190

0.0167

4

250

250

250

250

0.2

0.4

0.03

0.07

0.0391

0.0384

5

300

200

200

300

0.2

0.4

0.03

0.07

0.3923

0.4403

6

325

175

175

325

0.2

0.4

0.03

0.07

0.7337

0.7880

7

350

150

150

350

0.2

0.4

0.03

0.07

0.9077

0.9567

8

375

125

125

375

0.2

0.4

0.03

0.07

0.9625

0.9954