Calculate Rationalized arcsine transform

Converts proportions into rational arcsine units (rau's) for performing linear tests like ANOVA

Description

Doing linear tests (like ANOVA or t-tests) on proportional data (values between 0 and 1) is difficult since the distributions of these values are not strictly Gaussian, especially when the proportions are near 0 or 1. The Rationalized Arcsine Transform linearizes the proportions and converts them to "rational arcsine units". The linear tests can then be performed on the RAU values. (p=0.5 roughly corresponds to a rau of 50).

RAU(p) computes the rationalized arcsine transform for a proportion value p (0 <= p <= 1). p can also be a vector of proportion values.

• MATLAB release: MATLAB 6.5 (R13)

[Johannes Lyzenga]