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Table 3 Power performance of the proposed tests at 0.05 nominal significance level using the parameter in Table three, Troendle et al. [19] and n = 500

From: Association analysis of complex diseases using triads, parent-child dyads and singleton monads

Sample size

p

Disease model

Model

 

TDT

z c o m

s

n

m

 

Model

(ψ1,ψ2)

Dom

Rec

Mult

Unr

Add

  
    

Dom

(1.5, 1.5)

0.91984

0.05494

0.59684

0.86250

0.67998

 

0.38389

  

125

0.5

Rec

(1.0, 1.45)

0.04830

0.91488

0.68434

0.85930

0.61349

 

0.46383

  

Mult

(1.3, 1.69)

0.54475

0.63588

0.88638

0.81607

0.88395

 

0.67525

0

500

  

Unr

(0.82, 1.22)

0.40678

0.94369

0.28652

0.95067

0.19831

 

0.19157

  

Dom

(1.5, 1.5)

0.86469

0.05501 ∗

0.53494

0.78362

0.61161

0.53133

 
  

0

0.5

Rec

(1.0, 1.45)

0.04868 ∗

0.86048

0.62189

0.78284

0.54995

0.61559

 
  

Mult

(1.3, 1.69)

0.50217 ∗

0.58591 ∗

0.83504

0.74791

0.82951

0.83316

 
    

Unr

(0.82, 1.22)

0.30751

0.88989

0.25717

0.89710

0.18219

0.25521

 
    

Dom

(1.5, 1.5)

0.93417

0.05975

0.61089

0.88359

0.69680

  
  

125

0.5

Rec

(1.0, 1.45)

0.04970

0.93022

0.70132

0.87754

0.62959

  
  

Mult

(1.3, 1.69)

0.55266

0.64473

0.89571

0.83059

0.89378

  

50

500

  

Unr

(0.82, 1.22)

0.46190

0.95843

0.29617

0.96292

0.20571

  
  

Dom

(1.5, 1.5)

0.88543

0.05450

0.55038

0.81938

0.63176

  
  

0

0.5

Rec

(1.0, 1.45)

0.04813

0.88221

0.63748

0.81229

0.56987

  
  

Mult

(1.3, 1.69)

0.50941

0.59514

0.85057

0.77031

0.84857

  
    

Unr

(0.82, 1.22)

0.35793

0.91611

0.26407

0.92113

0.18285

  
    

Dom

(1.45, 1.45)

0.91663

0.05581

0.82275

0.85564

0.85475

 

0.59268

  

125

0.2

Rec

(1.0, 2.0)

0.04455

0.94790

0.44326

0.90851

0.34805

 

0.28523

  

Mult

(1.35, 1.82)

0.74330

0.29700

0.86030

0.77766

0.85735

 

0.63475

0

500

  

Unr

(0.73, 1.37)

0.75736

0.83819

0.16262

0.95415

0.09838

 

0.11611

  

Dom

(1.45, 1.45)

0.86430

0.05206 ∗

0.76184

0.78832

0.79620

0.76041

 
  

0

0.2

Rec

(1.0, 2.0)

0.04254 ∗

0.90108

0.39325

0.84045

0.30808

0.38860

 
  

Mult

(1.35, 1.82)

0.67838 ∗

0.27300 ∗

0.79869

0.70763

0.79626

0.79935

 
    

Unr

(0.73, 1.37)

0.65414

0.73828

0.14995

0.90150

0.09179

0.14809

 
    

Dom

(1.45, 1.45)

0.92776

0.05929

0.83556

0.87192

0.86570

  
  

125

0.2

Rec

(1.0, 2.0)

0.04580

0.95984

0.45325

0.92594

0.35732

  
  

Mult

(1.35, 1.82)

0.75081

0.29775

0.86878

0.79374

0.86823

  

50

500

  

Unr

(0.73, 1.37)

0.79247

0.87274

0.17039

0.96622

0.09941

  
  

Dom

(1.45, 1.45)

0.88237

0.05344

0.78154

0.81038

0.81656

  
  

0

0.2

Rec

(1.0, 2.0)

0.04352

0.92016

0.40450

0.87014

0.31454

  
  

Mult

(1.35, 1.82)

0.69361

0.27258

0.81773

0.72982

0.81359

  
    

Unr

(0.73, 1.37)

0.69897

0.78788

0.15242

0.92672

0.09045

  
    

Dom

(1.45, 1.45)

0.54540

0.01899

0.51668

0.41742

0.53330

 

0.32711

  

125

0.05

Rec

(1.0, 2.0)

0.04787

0.19369

0.06095

0.15167

0.04953

 

0.05595

  

Mult

(1.35, 1.82)

0.37363

0.06127

0.39755

0.30298

0.39613

 

0.25117

0

500

  

Unr

(0.73, 1.37)

0.32954

0.14447

0.25594

0.32487

0.23685

 

0.16860

  

Dom

(1.45, 1.45)

0.47895

0.02234

0.45528

0.35409

0.46737

0.45051

 
  

0

0.05

Rec

(1.0, 2.0)

0.04759

0.17392

0.06026

0.13605

0.04958

0.05914

 
  

Mult

(1.35, 1.82)

0.32514

0.06317

0.34478

0.26105

0.34585

0.34717

 
    

Unr

(0.73, 1.37)

0.28430

0.12649

0.22702

0.27964

0.20895

0.22606

 
    

Dom

(1.45, 1.45)

0.55918

0.01811

0.53173

0.43260

0.54426

  
  

125

0.05

Rec

(1.0, 2.0)

0.04848

0.20376

0.06147

0.15963

0.04985

  
  

Mult

(1.35, 1.82)

0.38246

0.06150

0.41190

0.31308

0.40672

  

50

500

  

Unr

(0.73, 1.37)

0.34311

0.14948

0.27061

0.34266

0.22740

  
  

Dom

(1.45, 1.45)

0.49431

0.02036

0.46935

0.36889

0.48220

  
  

0

0.05

Rec

(1.0, 2.0)

0.04777

0.17937

0.06071

0.14178

0.05204

  
  

Mult

(1.35, 1.82)

0.33955

0.06127

0.36054

0.26850

0.35641

  
    

Unr

(0.73, 1.37)

0.29572

0.13457

0.23367

0.29240

0.20284

  
  1. ∗ indicates entry that is slightly lower than the corresponding entry of Table three, Troendle et al. [19].