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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 3:

Monte Carlo power levels at α = 0.05 of the one-sample Wilcoxon-Mann-Whitney test (W) as well as the To, T1, and TN-based tests defined in Section 3.5.

n = 50 n = 150 n = 50 n = 150
Design Test PowA Pow PowA Pow Design Test PowA Pow PowA Pow
D01 W 0.049 0.049 0.052 0.052 D03 W 0.050 0.050 0.049 0.049
To 0.052 0.050 0.053 0.050 To 0.054 0.050 0.050 0.050
T1 0.044 0.050 0.047 0.050 T1 0.062 0.050 0.057 0.050
TN 0.054 0.050 0.054 0.050 TN 0.052 0.050 0.048 0.050
D11 W 0.169 0.169 0.321 0.321 D13 W 0.301 0.301 0.645 0.645
To 0.183 0.178 0.338 0.329 To 0.328 0.317 0.678 0.676
T1 0.128 0.140 0.231 0.238 T1 0.191 0.160 0.345 0.319
TN 0.189 0.173 0.341 0.328 TN 0.390 0.381 0.774 0.782
D02 W 0.051 0.051 0.049 0.049 D04 W 0.050 0.050 0.050 0.050
To 0.058 0.050 0.049 0.050 To 0.054 0.050 0.053 0.050
T1 0.026 0.050 0.024 0.050 T1 0.089 0.050 0.067 0.050
TN 0.044 0.050 0.035 0.050 TN 0.046 0.050 0.048 0.050
D12 W 0.144 0.144 0.280 0.280 D14 W 0.643 0.643 0.965 0.965
To 0.132 0.119 0.225 0.225 To 0.637 0.617 0.965 0.962
T1 0.089 0.149 0.206 0.315 T1 0.292 0.179 0.493 0.431
TN 0.134 0.148 0.243 0.304 TN 0.826 0.836 0.998 0.998