allpdiff_hdpbci: Confidence interval of the median of all pairwise differences

In GRousselet/rogme: Robust Graphical Methods For Group Comparisons

Confidence interval of the median of all pairwise differences

Description

Compute a confidence interval for the quantile (default to median) of the distribution of D=X-Y (all pairwise differences), where X and Y are two independent random variables. The Harrell-Davis estimator is used. If the distribution of X and Y are identical, then in particular the median of the distribution of D=X-Y is approximately zero.

Usage

allpdiff_hdpbci(x, y, alpha = 0.05, q = 0.5, nboot = 600)

Arguments

x, y	Two vectors of continuous variables.
alpha	Alpha level - default = 0.05, which means that a 95 interval is computed.
q	Quantile between 0 and 1 - default - 0.5, which means that the median of the distribution is estimated.
nboot	Number of bootstrap samples - default = 600.

Value

A list with variables: q estimate, ci, n

Note

Adaptation of cbmhd from Rallfun-v33.txt. See https://github.com/nicebread/WRS/

See Also

hd hdpbci cid allpdiff

GRousselet/rogme documentation built on Nov. 12, 2022, 4:38 a.m.