A Modified Normal Scores Test for Paired Data

Author:

Wiedermann Wolfgang T.1,Alexandrowicz Rainer W.1

Affiliation:

1. Department of Psychology, Applied Psychology and Methods Research Unit, University of Klagenfurt, Austria

Abstract

For the dependent-samples problem it is known that nonparametric tests such as the Wilcoxon signed-ranks test should be used instead of the paired t-test if the normality assumption is violated. The present study extends a family of tests for correlated samples by incorporating the concept of expected normal scores. This fusion leads to a promising significance test for paired non-normal samples, especially when distributions are highly skewed. In a simulation study we show that this modified normal scores test is robust for a wide range of non-normal distributions. Also, in most situations the test proved more powerful than traditional tests such as the paired t-test, the Wilcoxon signed-ranks test, or the Fraser normal scores test. For skewed distributions the test is also more powerful than applying the modified test to original measures or on ranks.

Publisher

Hogrefe Publishing Group

Subject

General Psychology,General Social Sciences

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