Date of Award

8-9-2019

Document Type

Thesis

Degree Name

Bachelor of Science (B.S.) in Mathematics and University Honors

Department

Mathematics

First Advisor

Nadeeshani Jayasena

Subjects

Analysis of variance -- Testing, Multivariate analysis, Mathematical statistics

DOI

10.15760/honors.806

Abstract

Studies have shown that ANOVA F-test has a lower performance against heterogeneity of variances. It is important to provide more information on its alternatives and other methods that can prove useful. As a general guideline, Welch’s ANOVA is a perfect alternative with low type 1 error in all cases of different population variances. An addition to Welch’s ANOVA, Marascuilo’s alternative to this test gives a less accurate result but provides simpler calculation methods. Similar to Moder K. (2010) , Kruskal Wallis test and Hotelling’s T2 test were taken into consideration. Kruskal Wallis test had higher type 1 errors similar to the ANOVA F-test. Hotelling’s T2 test had significantly lower type 1 errors in comparison to the ANOVA F-test and the Kruskal Wallis test. Depending on the amount of observations different studies may have, a multivariate analysis of variance using Hotelling’s T2 test is advisable. Otherwise Welch’s ANOVA is a perfect choice for a test with lower type 1 errors.

Persistent Identifier

https://archives.pdx.edu/ds/psu/29371

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