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. Author manuscript; available in PMC: 2025 Jan 1.
Published in final edited form as: Am Stat. 2023 Apr 18;78(1):36–46. doi: 10.1080/00031305.2023.2192746

Table 2:

Monte Carlo rate of rejections at α = 0.05 of the following statistics: the one-sample Wilcoxon-Mann-Whitney test statistic (W), To and its modification, TN, defined in Section 3.4.

n = 25 n = 50 n = 75
Design Test PowA Pow PowA Pow PowA Pow
D01 W 0.048 0.048 0.049 0.049 0.049 0.049
To 0.029 0.050 0.025 0.050 0.031 0.050
TN 0.030 0.050 0.027 0.050 0.028 0.050
D11 W 0.213 0.213 0.319 0.319 0.417 0.417
To 0.484 0.549 0.674 0.751 0.806 0.862
TN 0.660 0.725 0.899 0.936 0.973 0.985
D02 W 0.048 0.048 0.050 0.050 0.050 0.050
To 0.049 0.050 0.044 0.050 0.045 0.050
TN 0.048 0.050 0.042 0.050 0.045 0.050
D12 W 0.394 0.394 0.609 0.609 0.755 0.755
To 0.734 0.735 0.919 0.927 0.977 0.980
TN 0.843 0.849 0.982 0.986 0.998 0.999