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Table 3 Empirical power of tests by varying m1B when censoring fraction is 0% and 30% and when there are some missed visits with a probability of 0.1 for the first year and then of 0.2 thereafter

From: Comparing survival functions with interval-censored data in the presence of an intermediate clinical event

(θA,θB)

(m0A,m0B)

(m1A,m1B)

I

II

III-(1)

III-(2)

IV-(1)

IV-(2)

Censoring fraction = 0%

n=50

 (0.5, 0.5)

(1, 1)

(2, 1.5)

0.120

0.108

0.111

0.136

0.110

0.128

 (0.5, 0.5)

(1, 1)

(2, 1.25)

0.222

0.181

0.250

0.283

0.245

0.281

 (0.5, 0.5)

(1, 1)

(2, 1.0)

0.386

0.320

0.480

0.513

0.484

0.509

n=100

 (0.5, 0.5)

(1, 1)

(2, 1.5)

0.181

0.146

0.201

0.214

0.204

0.216

 (0.5, 0.5)

(1, 1)

(2, 1.25)

0.373

0.315

0.471

0.501

0.474

0.505

 (0.5, 0.5)

(1, 1)

(2, 1.0)

0.647

0.564

0.824

0.841

0.826

0.841

n=200

        

 (0.5, 0.5)

(1, 1)

(2, 1.5)

0.310

0.289

0.364

0.387

0.360

0.384

 (0.5, 0.5)

(1, 1)

(2, 1.25)

0.652

0.575

0.808

0.821

0.812

0.821

 (0.5, 0.5)

(1, 1)

(2, 1.0)

0.925

0.860

0.991

0.991

0.990

0.991

Censoring fraction = 30%

n=50

 (0.5, 0.5)

(1, 1)

(2, 1.5)

0.101

0.099

0.110

0.120

0.110

0.119

 (0.5, 0.5)

(1, 1)

(2, 1.25)

0.161

0.147

0.204

0.220

0.200

0.218

 (0.5, 0.5)

(1, 1)

(2, 1.0)

0.266

0.229

0.388

0.417

0.391

0.414

n=100

 (0.5, 0.5)

(1, 1)

(2, 1.5)

0.113

0.114

0.145

0.160

0.143

0.155

 (0.5, 0.5)

(1, 1)

(2, 1.25)

0.258

0.218

0.380

0.407

0.376

0.402

 (0.5, 0.5)

(1, 1)

(2, 1.0)

0.474

0.400

0.707

0.724

0.704

0.723

n=200

 (0.5, 0.5)

(1, 1)

(2, 1.5)

0.248

0.202

0.297

0.312

0.301

0.310

 (0.5, 0.5)

(1, 1)

(2, 1.25)

0.507

0.432

0.695

0.711

0.695

0.706

 (0.5, 0.5)

(1, 1)

(2, 1.0)

0.802

0.720

0.957

0.960

0.956

0.959

  1. I = log-rank, II = Stratified log-rank, III = Uniform weight method, IV = Weighted weight method (1) added within and between variance, (2) subtracted within and between variance