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Table 2 Power performance of the proposed tests at 0.05 nominal significance level using the parameters in Table three, Troendle et al. [[19]] and n = 100

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

Sample size

p

Disease model

Model

TDT

z com

s

n

m

Model

(ψ1,ψ2)

Dom

Rec

Mult

Unr

Add

    

Dom

(2.6, 2.6)

0.91066

0.06000

0.50500

0.84541

0.70714

 

0.31163

  

25

0.5

Rec

(1.0, 2.2)

0.04523

0.90067

0.70559

0.83608

0.57124

 

0.47878

  

Mult

(1.8, 3.24)

0.48646

0.68023

0.88068

0.80862

0.87348

 

0.65977

0

100

  

Unr

(0.65, 1.54)

0.32262

0.93172

0.34347

0.92475

0.17819

 

0.22527

  

Dom

(2.6, 2.6)

0.84710

0.05676 ∗

0.44357

0.76226

0.63856

0.44186

 
  

0

0.5

Rec

(1.0, 2.2)

0.04665 ∗

0.84330

0.63678

0.76013

0.50830

0.63486

 
  

Mult

(1.8, 3.24)

0.44423 ∗

0.62624 ∗

0.82447

0.74065

0.81753

0.82465

 
    

Unr

(0.65, 1.54)

0.24177

0.87274

0.30563

0.84850

0.15914

0.30947

 
    

Dom

(2.6, 2.6)

0.96437

0.08869

0.56774

0.92870

0.79380

  
  

25

0.5

Rec

(1.0, 2.2)

0.05605

0.95407

0.76586

0.91508

0.61764

  
  

Mult

(1.8, 3.24)

0.49237

0.71043

0.92158

0.86355

0.91256

  

50

100

  

Unr

(0.65, 1.54)

0.55513

0.98255

0.38476

0.98123

0.17861

  
  

Dom

(2.6, 2.6)

0.93871

0.07985

0.51548

0.88896

0.74713

  
  

0

0.5

Rec

(1.0, 2.2)

0.05134

0.92769

0.71809

0.87193

0.55984

  
  

Mult

(1.8, 3.24)

0.45734

0.66902

0.88925

0.82026

0.87906

  
    

Unr

(0.65, 1.54)

0.47192

0.96392

0.34894

0.96087

0.16023

  
    

Dom

(2.2, 2.2)

0.89874

0.05076

0.76992

0.83080

0.84520

 

0.53247

  

25

0.2

Rec

(1.0, 3.6)

0.03613

0.92147

0.48451

0.87037

0.30487

 

0.31694

  

Mult

(1.9, 3.61)

0.69925

0.34702

0.85778

0.77836

0.85218

 

0.62966

0

100

  

Unr

(0.5, 2.0)

0.65567

0.84785

0.10276

0.94265

0.03027

 

0.08794

  

Dom

(2.2, 2.2)

0.84384

0.04086 ∗

0.70946

0.75109

0.78697

0.70494

 
  

0

0.2

Rec

(1.0, 3.6)

0.03782 ∗

0.86147

0.43153

0.79210

0.26755

0.42869

 
  

Mult

(1.9, 3.61)

0.64051 ∗

0.32123 ∗

0.80066

0.70908

0.79017

0.79740

 
    

Unr

(0.5, 2.0)

0.54538

0.75786

0.10187

0.87870

0.02940

0.09909

 
    

Dom

(2.2, 2.2)

0.94780

0.08895

0.82800

0.90217

0.90049

  
  

25

0.2

Rec

(1.0, 3.6)

0.05440

0.97394

0.53918

0.95030

0.31670

  
  

Mult

(1.9, 3.61)

0.72728

0.34717

0.90222

0.83592

0.89492

  

50

100

  

Unr

(0.5, 2.0)

0.83495

0.95478

0.10560

0.98840

0.02343

  
  

Dom

(2.2, 2.2)

0.91980

0.07593

0.78331

0.85809

0.86423

  
  

0

0.2

Rec

(1.0, 3.6)

0.04721

0.95163

0.49510

0.91409

0.28013

  
  

Mult

(1.9, 3.61)

0.67942

0.32597

0.86532

0.78885

0.85618

  
    

Unr

(0.5, 2.0)

0.77111

0.92279

0.10152

0.97278

0.02310

  
    

Dom

(2.2, 2.2)

0.57438

0.02821

0.53632

0.43550

0.56002

 

0.33291

  

25

0.05

Rec

(1.0, 3.6)

0.04380

0.29455

0.06729

0.21332

0.04873

 

0.06352

  

Mult

(1.9, 3.61)

0.38400

0.10189

0.42547

0.34874

0.41536

 

0.26377

0

100

  

Unr

(0.5, 2.0)

0.22082

0.27767

0.18594

0.32682

0.12097

 

0.14033

  

Dom

(2.2, 2.2)

0.50622

0.03413

0.47104

0.39360

0.49103

0.46796

 
  

0

0.05

Rec

(1.0, 3.6)

0.04448

0.27724

0.06733

0.20273

0.04704

0.06674

 
  

Mult

(1.9, 3.61)

0.33877

0.10807

0.36803

0.31909

0.36089

0.36674

 
    

Unr

(0.5, 2.0)

0.17709

0.25044

0.15031

0.26490

0.06971

0.17677

 
    

Dom

(2.2, 2.2)

0.63920

0.01453

0.58425

0.47921

0.62697

  
  

25

0.05

Rec

(1.0, 3.6)

0.04465

0.28842

0.06893

0.23235

0.04345

  
  

Mult

(1.9, 3.61)

0.42156

0.08232

0.46540

0.36949

0.46364

  

50

100

  

Unr

(0.5, 2.0)

0.30208

0.31549

0.20745

0.42153

0.15479

  
  

Dom

(2.2, 2.2)

0.58412

0.01814

0.54315

0.42708

0.57007

  
  

0

0.05

Rec

(1.0, 3.6)

0.04222

0.29220

0.06943

0.22264

0.04549

  
  

Mult

(1.9, 3.61)

0.38029

0.08648

0.42651

0.33479

0.41893

  
    

Unr

(0.5, 2.0)

0.27336

0.30692

0.18868

0.37802

0.12098

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