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Table 2 Power comparison under two different scenario

From: Statistical aspects of omics data analysis using the random compound covariate

n

cen.

Scenarios 1

Scenarios 2

  

SRC B

SC B

SRC W

SC W

SRC B

SC B

SRC W

SC W

Strong effect: β= [β1, β2, ..., β30]T = [1, 1, ..., 1]T

   

50

10%

0.757

0.742

0.675

0.650

0.600

0.599

0.723

0.692

 

30%

0.624

0.580

0.536

0.490

0.480

0.422

0.546

0.505

 

50%

0.448

0.350

0.381

0.312

0.350

0.250

0.359

0.294

75

10%

0.960

0.956

0.907

0.902

0.876

0.870

0.944

0.942

 

30%

0.883

0.864

0.828

0.766

0.783

0.771

0.875

0.822

 

50%

0.758

0.626

0.690

0.526

0.607

0.494

0.694

0.580

100

10%

0.998

0.997

0.985

0.982

0.974

0.973

0.996

0.995

 

30%

0.982

0.974

0.948

0.917

0.940

0.905

0.966

0.955

 

50%

0.928

0.846

0.868

0.730

0.806

0.695

0.883

0.802

Low effect: β= [β1, β2, ..., β30]T = [0.5, 0.5, ..., 0.5]T

   

50

10%

0.666

0.625

0.594

0.576

0.266

0.242

0.326

0.305

 

30%

0.498

0.487

0.440

0.430

0.206

0.165

0.224

0.214

 

50%

0.362

0.285

0.328

0.244

0.144

0.122

0.162

0.124

75

10%

0.930

0.924

0.859

0.850

0.492

0.466

0.574

0.570

 

30%

0.824

0.756

0.756

0.688

0.370

0.325

0.432

0.421

 

50%

0.642

0.553

0.571

0.469

0.263

0.206

0.312

0.224

100

10%

0.992

0.990

0.964

0.950

0.662

0.654

0.796

0.792

 

30%

0.959

0.944

0.918

0.850

0.558

0.505

0.652

0.594

 

50%

0.852

0.760

0.802

0.654

0.412

0.319

0.472

0.370

  1. We compared the power under each method SRC B /SRC W and SC B /SC W . The first scenario considers 30 disease related genes. The second scenario considers 30 disease related genes, with the other 27 genes considered no effect.