A heteroscedastic, rank-based approach for analyzing 2 x 2 independent groups designs
| dc.contributor.author | Mills, L. | |
| dc.contributor.author | Cribbie, Robert | |
| dc.contributor.author | Luh, Wei-ming | |
| dc.date.accessioned | 2018-06-03T23:01:22Z | |
| dc.date.available | 2018-06-03T23:01:22Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | The ANOVA F is a widely used statistic in psychological research despite its shortcomings when the assumptions of normality and variance heterogeneity are violated. A Monte Carlo investigation compared Type I error and power rates of the ANOVA F, Alexander-Govern with trimmed means and Johnson transformation, Welch-James with trimmed means and Johnson Transformation, Welch with trimmed means, and Welch on ranked data using Johansen’s interaction procedure. Results suggest that the ANOVA F is not appropriate when assumptions of normality and variance homogeneity are violated, and that the Welch/Johansen on ranks offers the best balance of empirical Type I error control and statistical power under these conditions. | en_US |
| dc.description.sponsorship | Social Sciences and Humanities Research Council (SSHRC) | |
| dc.identifier.citation | Mills, Laura; Cribbie, Robert A.; and Luh, Wei-Ming (2009) "A Heteroscedastic, Rank-Based Approach for Analyzing 2 x 2 Independent Groups Designs," Journal of Modern Applied Statistical Methods, 8(1), 322-336. doi: 10.22237/jmasm/1241137800 | |
| dc.identifier.issn | 1538 – 9472 | |
| dc.identifier.uri | DOI: 10.22237/jmasm/1241137800 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10315/34601 | |
| dc.language.iso | en | en_US |
| dc.publisher | JMASM, Inc. | en_US |
| dc.rights.article | https://digitalcommons.wayne.edu/jmasm/vol8/iss1/31/?utm_source=digitalcommons.wayne.edu%2Fjmasm%2Fvol8%2Fiss1%2F31&utm_medium=PDF&utm_campaign=PDFCoverPages | |
| dc.rights.journal | https://digitalcommons.wayne.edu/jmasm/ | en_US |
| dc.rights.publisher | https://digitalcommons.wayne.edu/ | en_US |
| dc.subject | Factorial ANOVA | en_US |
| dc.subject | Welch factorial test | en_US |
| dc.subject | non-normality | en_US |
| dc.subject | variance heterogeneity | en_US |
| dc.title | A heteroscedastic, rank-based approach for analyzing 2 x 2 independent groups designs | |
| dc.type | Article | en_US |