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The combined-sample tie sums shrink the null variance of U/W and inflate Kruskal-Wallis H (Gibbons Chs. 6.6, 8.2, 10.4). Mirrors morie.fn.gb661t/gb821t/gb1041t.

Usage

morie_rank_tie_variance(x = NULL, y = NULL, groups = NULL)

Arguments

x, y

the two samples (two-sample mode), or

groups

list of samples (Kruskal-Wallis mode).

Value

two-sample: list U, W, mean_U, var_corrected, var_uncorrected, z, p_two_sided; KW: list H, H_uncorrected, correction, df, p_value.

References

Gibbons & Chakraborti (2021), Chs. 6.6, 8.2, 10.4.

Examples

morie_rank_tie_variance(c(1, 2, 2, 3), c(2, 3, 3, 4))$U
#> [1] 3