HKm  n = 100  n = 200
Wilcoxon Normal Sign Wilcoxon Normal Sign

Normal

α = 1  0.173  0.253 0.082  0.117  0.203 0.070
α = 0.95  0.385  0.515 0.136  0.404  0.575 0.122
α = 0.9  0.576  0.698 0.196  0.686  0.816 0.222
α = 0.85  0.720  0.833 0.324  0.872  0.951 0.395

Student on 2

α = 1  0.101  0.118 0.074  0.077  0.091 0.066
α = 0.95  0.662  0.661 0.534  0.852  0.860 0.781
α = 0.9  0.848  0.869 0.684  0.981  0.972 0.932
α = 0.85  0.934  0.950 0.824  0.999  0.997 0.977

Student on 3

α = 1  0.123  0.162 0.086  0.081  0.103 0.068
α = 0.95  0.485  0.542 0.305  0.628  0.678 0.451
α = 0.9  0.705  0.754 0.469  0.913  0.917 0.726
α = 0.85  0.871  0.888 0.643  0.985  0.989 0.864

Student on 4

α = 1  0.123  0.160 0.089  0.090  0.124 0.066
α = 0.95  0.390  0.487 0.209  0.522  0.609 0.310
α = 0.9  0.681  0.734 0.404  0.833  0.880 0.558
α = 0.85  0.816  0.862 0.505  0.964  0.976 0.752

Table 1: Modified Test

HKu  n = 100  n = 200
Wilcoxon Normal Sign Wilcoxon Normal Sign

Normal

α = 1  0.043  0.036 0.051  0.054  0.053 0.044
α = 0.95  0.101  0.096 0.084  0.277  0.288 0.218
α = 0.9  0.241  0.252 0.173  0.765  0.783 0.493
α = 0.85  0.482  0.468 0.318  0.968  0.977 0.747

Student on 2

α = 1  0.045  0.040 0.050  0.056  0.062 0.060
α = 0.95  0.505  0.392 0.504  0.897  0.835 0.843
α = 0.9  0.808  0.723 0.743  1.000  0.998 0.991
α = 0.85  0.930  0.886 0.880  1.000  1.000 0.998

Student on 3

α = 1  0.048  0.055 0.044  0.059  0.048 0.050
α = 0.95  0.244  0.191 0.258  0.641  0.535 0.528
α = 0.9  0.552  0.443 0.495  0.977  0.960 0.892
α = 0.85  0.804  0.723 0.702  1.000  1.000 0.986

Student on 4

α = 1  0.058  0.043 0.060  0.051  0.051 0.047
α = 0.95  0.173  0.134 0.160  0.486  0.397 0.407
α = 0.9  0.475  0.407 0.393  0.938  0.899 0.805
α = 0.85  0.714  0.643 0.564  0.995  0.994 0.952

Table 2: Unmodified Test