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Table 6 The empirical powers of the tests at the significance level 0.05 when the survival times have uniform, exponential, log-normal,uniform and exponential, uniform and log-normal, or exponential and log-normal distributions with unequal medians and sample sizes n 1 = 20, n 2 = 25, n 3 = 25, n 4 = 30

From: Comparing survival curves based on medians

Distributions and parameters

Censoring rate

BC

TJ

New

Uniform distribution

  θ = (10,10,10.5,10)

  a = (4,4,4,4)

  c = (2,2,2,2)

0

0.169

0.133

0.140

0.1

0.171

0.153

0.126

0.2

0.175

0.186

0.117

0.3

0.177

0.216

0.104

Exponential distribution

  θ = (10,10,10,10)

  a = (0.1,0.15,0.15,0.1)

0

0.229

0.184

0.196

0.1

0.233

0.199

0.201

0.2

0.233

0.218

0.187

0.3

0.221

0.231

0.160

Log-normal distribution

  θ = (log(10), log(14), log(14), log(10))

  a = (1,1,1,1)

0

0.231

0.185

0.201

0.1

0.212

0.190

0.169

0.2

0.210

0.218

0.163

0.3

0.201

0.240

0.140

Two uniform and two exponential distributions

  θ = (10,13,13-10log(2),10-10log(2))

  a = (0.1,0.1,0.1,0.1)

  c = (0.01,0.01,0.01,0.01)

0

0.277

0.229

0.234

0.1

0.266

0.270

0.190

0.2

0.264

0.295

0.172

0.3

0.258

0.315

0.158

Two uniform and two log-normal distributions

  θ = (10,12,2.5,2.5)

  a = (1,1,1,1)

  c = (0.2,0.2,0.2,0.2)

0

0.288

0.218

0.275

0.1

0.250

0.257

0.240

0.2

0.249

0.294

0.218

0.3

0.253

0.329

0.197

Two log-normal and two exponential distributions

  θ = (log(10),log(13),13-10log(2),10-10log(2)),

  a = (1,1,0.1,0.1)

0

0.229

0.183

0.182

0.1

0.223

0.195

0.174

0.2

0.228

0.217

0.168

0.3

0.220

0.242

0.147