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

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.

Name thesis:degree_name

M.S.

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Statistics

Department dc:contributor.department

Statistics

Grantor dc:publisher

Virginia Polytechnic Institute

Year dc:date.issued

1966

Author dc:creator

• Turner, Robert William

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/10919/101392

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/101392