Independence and nonindependence: A simple method for comparing groups using multiple measures and the binomial test

Abstract

Existing methods for conducting analyses of small group data are either highly complicated or yield low power. Both of these limitations provide disincentives for the progress of research in this field. An alternative method modelled on the sign (binomial) test which involves comparing the differences of distributions based on multiple observations of each of the groups is presented. The calculations involved in the procedure are extremely simple. It is suggested that because the method enhances researchers' ability to make sound statistical inferences easily this should stimulate research on group-level processes and on social interaction more generally.