morie_cliff_delta estimates P(X>Y) - P(X<Y) with the asymmetric
interval of Cliff (1996, p.140, eq. 5.12). morie_brunner_munzel is
the heteroscedastic analogue of Wilcoxon-Mann-Whitney: it does not
assume the two distributions share a shape.
Examples
V <- c(1, 2, 3, 4, 5, 6, 7, 8)
morie_cliff_delta(V, V)
#> $delta
#> [1] 0
#>
#> $p_hat
#> [1] 0.5
#>
#> $n1
#> [1] 8
#>
#> $n2
#> [1] 8
#>
#> $P_x_less_y
#> [1] 0.4375
#>
#> $P_equal
#> [1] 0.125
#>
#> $P_x_greater_y
#> [1] 0.4375
#>
#> $ci
#> [1] -0.5189014 0.5189014
#>
