Testing for equivalence of group variances
| dc.contributor.advisor | Cribbie, Robert | |
| dc.contributor.advisor | Flora, David | |
| dc.contributor.advisor | Lalonde, Richard | |
| dc.creator | Mara, Constance A. | |
| dc.date.accessioned | 2016-10-29T18:45:32Z | |
| dc.date.available | 2016-10-29T18:45:32Z | |
| dc.date.copyright | 2013-06 | |
| dc.degree.discipline | PhD Psych - Quantitative Methods | |
| dc.degree.level | Doctoral | |
| dc.degree.name | PhD - Doctor of Philosophy | |
| dc.description.abstract | "The purpose of this paper was to situate a test for equality of group variances within the equivalence testing framework. Even though difference-based procedures are appropriate to answer questions about differences in some statistic (e.g., means, variances, etc.), these procedures are not appropriate to address questions related to variance homogeneity. Thus, if a researcher is interested in evaluating the similarity of group variances, it is more appropriate to use a procedure specifically designed to determine equivalence. A simulation study was used to compare newly developed equivalence-based tests to currently recommended difference-based variance homogeneity tests under data conditions common in psychological research. The results of this study provided evidence regarding the problems with assessing equality of variances with traditional difference-based tests. Most notably, traditional difference-based tests assess equality of variances from the wrong perspective, encouraging researchers to ""accept"" the null hypothesis. The results also demonstrated that the newly developed Levene-Wellek- Welch test for equivalence of group variances using the absolute deviations from the median was the best-performing equivalence-based test statistic in terms of accurate Type I error rates and highest power for detecting equivalence across the conditions evaluated. In addition, the use of the Levene-Wellek-Welch median-based test was demonstrated with an applied example, and an R function was provided in order to facilitate use of this newly developed equivalence of group variances test. " | |
| dc.identifier.uri | http://hdl.handle.net/10315/32511 | |
| dc.rights | Author owns copyright, except where explicitly noted. Please contact the author directly with licensing requests. | |
| dc.subject.keywords | Equivalence | |
| dc.subject.keywords | Group variances | |
| dc.subject.keywords | Difference-based procedures | |
| dc.subject.keywords | Levene-Wellek-Welch test | |
| dc.title | Testing for equivalence of group variances | |
| dc.type | Electronic Thesis or Dissertation |
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