Description Usage Arguments Details Value Author(s) References See Also Examples

Function to compute the Hodges-Lehmann estimator of location in the one sample case.

Simple wrapper to extract the value from the result of `wilcox.test`

.

1 | ```
HodgesLehmann(x, y = NULL, conf.level = NA, na.rm = FALSE)
``` |

`x` |
a numeric vector. |

`y` |
an optional numeric vector of data values: as with x non-finite values will be omitted. |

`conf.level` |
confidence level of. |

`na.rm` |
logical. Should missing values be removed? Defaults to FALSE. |

The Hodges-Lehmann estimator is the median of the combined data points and Walsh averages.
It is the same as the Pseudo Median returned as a by-product of the function `wilcox.test`

.

Note that in the two-sample case the estimator for the difference in location parameters does not estimate the difference in medians (a common misconception) but rather the median of the difference between a sample from x and a sample from y.
The confidence interval for the "pseudo median" is extracted from `wilcox.test`

(`conf.int = TRUE`

).

the Hodges-Lehmann estimator of location as a single numeric value if no confidence intervals are requested,

and otherwise a numeric vector with 3 elements for the estimate, the lower and the upper confidence interval

Andri Signorell <[email protected]>

Hodges, J.L., and Lehmann, E.L. (1963), Estimates of location based on rank tests. *The Annals of Mathematical Statistics*, **34**, 598–611.

1 2 3 4 5 6 | ```
set.seed(1)
x <- rt(100, df = 3)
HodgesLehmann(x)
# same as
wilcox.test(x, conf.int = TRUE)$estimate
``` |

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