Table 5 The empirical type I error rates 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 equal medians but unequal variances and sample sizes n 1 = 20, n 2 = 25, n 3 = 25, n 4 = 30
Distributions and parameters | Censoring rate | BC | TJ | New |
|---|---|---|---|---|
Uniform distribution   θ = (10,10,10,10)   a = (4,4,4,4)   c = (2,3,4,5) | 0 | 0.087 | 0.062 | 0.067 |
0.1 | 0.087 | 0.075 | 0.057 | |
0.2 | 0.087 | 0.086 | 0.051 | |
0.3 | 0.099 | 0.118 | 0.053 | |
Exponential distribution   θ = (10-2log(2),10-3log(2),10-4log(2),10-5log(2))   a = (1/2,1/3,1/4,1/5) | 0 | 0.084 | 0.062 | 0.064 |
0.1 | 0.086 | 0.067 | 0.060 | |
0.2 | 0.089 | 0.078 | 0.062 | |
0.3 | 0.100 | 0.100 | 0.054 | |
Log-normal distribution   θ = (log(10), log(10), log(10), log(10))   a = (2,3,4,5)/10 | 0 | 0.078 | 0.057 | 0.060 |
0.1 | 0.088 | 0.077 | 0.064 | |
0.2 | 0.090 | 0.093 | 0.063 | |
0.3 | 0.087 | 0.109 | 0.052 | |
Two uniform and two exponential distributions   θ = (10, 10, 10-10*log(2),10-10*log(2))   a = (0.1,0.1,0.1,0.1)   c = (0.01,0.01,0.01,0.01) | 0 | 0.074 | 0.052 | 0.058 |
0.1 | 0.088 | 0.089 | 0.049 | |
0.2 | 0.093 | 0.106 | 0.046 | |
0.3 | 0.092 | 0.119 | 0.039 | |
Two uniform and two log-normal distributions   θ = (10,10, log(10), log(10))   a = (5,5,0.3,0.3)   c = (2,2,2,2) | 0 | 0.076 | 0.056 | 0.058 |
0.1 | 0.085 | 0.083 | 0.050 | |
0.2 | 0.088 | 0.105 | 0.049 | |
0.3 | 0.097 | 0.132 | 0.047 | |
Two log-normal and two exponential distributions   θ = (log(10), log(10),10-log(2)/0.3,10-log(2)/0.3)   a = (0.3,0.3,0.3,0.3) | 0 | 0.068 | 0.049 | 0.051 |
0.1 | 0.078 | 0.062 | 0.055 | |
0.2 | 0.083 | 0.080 | 0.054 | |
0.3 | 0.096 | 0.111 | 0.059 |