The effect of non-normality on the power of the test of a two-way classification, fixed effects model--no interaction

TR Number

Date

1966

Journal Title

Journal ISSN

Volume Title

Publisher

Virginia Polytechnic Institute

Abstract

This thesis considers the effect of nonnormality, in terms of skewness and kurtosis, on the power of the analysis of variance test for a two-way classification, fixed effects model (with two replicates and no interaction). Most of the populations considered were only moderately non-normal, that is, only slightly peaked or skewed.

We first considered the effect of a change in skewness for a fixed kurtosis. We then considered the effect of a change in kurtosis for a fixed skewness. In both cases, there was no significant deviation in power, as compared with the power in the normal case.

The effect of non-normality on the power for an increase in both skewness and kurtosis for a particular Pearson Curve was then considered. A significant deviation in the power was found.

The results indicate that for moderate departures from normality, the two-way classification, fixed effects model, is robust.

Description

Keywords

Citation

Collections