asht (version 1.0.1)

latentTransform: Transform Mann-Whiteny parameter to latent Mann-Whitney parameter

Description

Take data and Mann-Whitney parameter values and transform them to latent continuous Mann-Whitney parameters.

Usage

latentTransform(x, y, phiValues, output = c("mw", "po"), epsilon = 10^(-6))

Value

a vector of latent continuous Mann-Whitney parameters (when output='mw') or proportional odds parameters (when output='po')

Arguments

x

numeric vector of responses from group 1

y

numeric vector of responses from group 2

phiValues

vector of Mann-Whitney parameters to be transformed

output

either 'mw' (to outpout latnet continuous Mann-Whitney parameter) or 'po' (to output proportional odds parameter)

epsilon

small value for limits of proportional odds parameter, smallest is epsilon and largest is 1/epsilon

Details

Calculates the empirical distribution from both groups and uses that and the sample sizes to transform the phiValues to their associated latent continuous Mann-Whitney parameter. Extreme values may not be transformed by this method and are replaced by 0 or 1, where those extreme values are data dependent (and depend on epsilon). See the code and its comments for details.