Simulation setting (3 treatments) | Combined ANOVA | Combined K-W | New | ||
---|---|---|---|---|---|
Distribution | Sample size | Parameters | |||
Uniform U(a,b) | (20,20,20) | a = (0,0,0), b = (1,1,1) | 0.051 | 0.045 | 0.047 |
a = (0,0,0), b = (0.5,0.5,0.5) | 0.051 | 0.045 | 0.045 | ||
a = (0.5,0.5,0.5), b = (1,1,1) | 0.055 | 0.046 | 0.047 | ||
(15,20,25) | a = (0,0,0), b = (1,1,1) | 0.052 | 0.043 | 0.046 | |
a = (0,0,0), b = (0.5,0.5,0.5) | 0.052 | 0.044 | 0.050 | ||
a = (0.5,0.5,0.5), b = (1,1,1) | 0.049 | 0.040 | 0.043 | ||
Truncated Normal TN (μ ,σ2) | (20,20,20) | = (0.5,0.5,0.5), = (1,1,1)/5 | 0.050 | 0.043 | 0.048 |
= (0.5,0.5,0.5), = (1,2,3)/5 | 0.058 | 0.050 | 0.045 | ||
= (0.2,0.2,0.2), = (1,1,1)/5 | 0.049 | 0.050 | 0.043 | ||
= (0.8, 0.8, 0.8), = (1,1,1)/5 | 0.046 | 0.043 | 0.048 | ||
(15,20,25) | = (0.5,0.5,0.5), = (1,1,1)/5 | 0.050 | 0.046 | 0.045 | |
= (0.5,0.5,0.5), = (1,1.2,1.3)/5 | 0.053 | 0.041 | 0.033 | ||
= (0.2,0.2,0.2), = (1,1,1)/5 | 0.050 | 0.046 | 0.051 | ||
= (0.8, 0.8, 0.8), = (1,1,1)/5 | 0.049 | 0.044 | 0.048 | ||
Beta (c,d) | (20,20,20) | c = (1,1,1), d = (1,1,1) | 0.050 | 0.044 | 0.049 |
c = (1,1,1), d = (5,5,5) | 0.046 | 0.045 | 0.043 | ||
c = (5,5,5), d = (1,1,1) | 0.048 | 0.044 | 0.045 | ||
c = (5,5,5), d = (5,5,5) | 0.049 | 0.041 | 0.044 | ||
(15,20,25) | c = (1,1,1), d = (1,1,1) | 0.049 | 0.044 | 0.046 | |
c = (1,1,1), d = (5,5,5) | 0.045 | 0.042 | 0.047 | ||
c = (5,5,5), d = (1,1,1) | 0.049 | 0.049 | 0.048 | ||
c = (5,5,5), d = (5,5,5) | 0.052 | 0.044 | 0.052 |