Equivalence of Population Variances: Synchronizing the Objective and Analysis
| Autor: | Robert A. Cribbie, Constance A. Mara |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
education.field_of_study
Homogeneity (statistics) 05 social sciences Population Brown–Forsythe test 050109 social psychology Bartlett's test 01 natural sciences Education 010104 statistics & probability Levene's test Statistics Developmental and Educational Psychology Econometrics 0501 psychology and cognitive sciences F-test of equality of variances 0101 mathematics education Equivalence (measure theory) Statistic Mathematics |
| Zdroj: | The Journal of Experimental Education. 86:442-457 |
| ISSN: | 1940-0683 0022-0973 |
| DOI: | 10.1080/00220973.2017.1301356 |
| Popis: | Researchers are often interested in establishing equivalence of population variances. Traditional difference-based procedures are appropriate to answer questions about differences in some statistic (e.g., variances, etc.). However, if a researcher is interested in evaluating the equivalence of population variances, it is more appropriate to use a procedure designed to determine equivalence. A simulation study was used to compare novel equivalence-based tests to traditional variance homogeneity tests under common data conditions. Results demonstrated that traditional difference-based tests assess equality of variances from the wrong perspective and that the proposed Levene-Wellek-Welch test for equivalence of group variances the best performing test for detecting equivalence. An R function is provided in order to facilitate use of this test for equivalence of population variances. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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