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Table 4 Empirical powers of ZMTT(0), ZMTT(0.5), ZMTT(1), ZSGMS, ZSGME, ZMAX3 and Z χ 2 with 2 df based on 10,000 replicates.

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

Scenario

Model

ZMTT(0)

ZMTT(0.5)

ZMTT(1)

Z SGMS

Z SGME

Z MAX3

Z χ 2

ρ*

A

REC

0.8059

0.5590

0.1369

0.6981

0.6760

0.7340

0.7154

0.3267

 

ADD

0.4890

0.7998

0.7126

0.7594

0.7896

0.7629

0.7188

0.7623

 

DOM

0.1237

0.6818

0.8040

0.7142

0.7155

0.7300

0.7158

0.2639

B

REC

0.8073

0.5367

0.1356

0.6725

0.6497

0.7229

0.7147

0.3423

 

ADD

0.4637

0.7977

0.7258

0.7646

0.7908

0.7502

0.7140

0.7445

 

DOM

0.1287

0.7011

0.8054

0.7168

0.7259

0.7383

0.7199

0.2756

C

REC

0.8057

0.5503

0.1330

0.6970

0.6691

0.7244

0.7153

0.3038

 

ADD

0.4896

0.8052

0.7139

0.7654

0.7952

0.7648

0.7094

0.7295

 

DOM

0.1193

0.6877

0.8062

0.7153

0.7210

0.7445

0.7112

0.2710

D

REC

0.7978

0.5235

0.1400

0.6655

0.6433

0.7177

0.7144

0.3124

 

ADD

0.4639

0.8045

0.7308

0.7654

0.7934

0.7499

0.7090

0.7037

 

DOM

0.1204

0.7024

0.8071

0.7144

0.7225

0.7250

0.7033

0.2792

E

REC

0.7974

0.5276

0.1453

0.7166

0.6782

0.7288

0.7218

0.3492

 

ADD

0.4667

0.8014

0.7294

0.7554

0.7884

0.7517

0.7131

0.7396

 

DOM

0.1261

0.6989

0.8027

0.7135

0.7234

0.7161

0.7077

0.2795

F

REC

0.8056

0.5547

0.1535

0.6991

0.6742

0.7317

0.7173

0.3561

 

ADD

0.5014

0.8068

0.7195

0.7650

0.7955

0.7524

0.7112

0.7661

 

DOM

0.1389

0.6933

0.8003

0.7167

0.7231

0.7291

0.7141

0.2887

G

REC

0.8045

0.5241

0.1499

0.7233

0.6786

0.7316

0.7082

0.3172

 

ADD

0.4562

0.8020

0.7313

0.7522

0.7883

0.7560

0.7068

0.6970

 

DOM

0.1247

0.7091

0.8004

0.7167

0.7297

0.7468

0.7099

0.2825

H

REC

0.7967

0.5481

0.1467

0.6950

0.6651

0.7203

0.7136

0.3279

 

ADD

0.4885

0.8017

0.7154

0.7610

0.7911

0.7529

0.7009

0.7272

 

DOM

0.1254

0.6944

0.8055

0.7183

0.7248

0.7366

0.7091

0.2945

  1. The settings are the same as those in Table 2 except that the GRRs are determined so that the optimal MTT has the maximum power of about 80%. The significance level is 0.05. ρ* is the minimum correlation of the optimal tests.