wilcoxon | R Documentation |

We compute the standardized Wilcoxon test statistic with mean 0 and
and standard deviation 1 for samples *x* and *y*. The R function
`stats::wilcox.test()`

returns the statistic

wilcoxon(x, y, theta = 0)

`x` |
a sample numeric vector |

`y` |
a sample numeric vector |

`theta` |
a value > 0 but < 1/2. |

*
U = (sum over i) R_i - m(m + 1) / 2
*

where *R_i* are the ranks of the first sample *x* of size
*m*. We compute

*
(U - mn(1/2 + theta)) / (mn(m + n + 1) / 12)^(1/2)
*

where *θ* is the alternative hypothesis shift on the
probability scale, i.e. *P(X > Y) = 1/2 + θ*.

the standardized Wilcoxon statistic

Embedding an R snippet on your website

Add the following code to your website.

For more information on customizing the embed code, read Embedding Snippets.