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http://hdl.handle.net/2445/205744
Title: | Effect of variance ratio on ANOVA robustness: Might 1.5 be the limit? |
Author: | Blanca, María J. Alarcón, Rafael Arnau Gras, Jaume Bono Cabré, Roser Bendayan, Rebecca |
Keywords: | Anàlisi de variància Ciències socials Analysis of variance Social sciences |
Issue Date: | 1-Jun-2018 |
Publisher: | Springer Verlag |
Abstract: | Inconsistencies in the research findings on F-test robustness to variance heterogeneity could be related to the lack of a standard criterion to assess robustness or to the different measures used to quantify heterogeneity. In the present paper we use Monte Carlo simulation to systematically examine the Type I error rate of F-test under heterogeneity. One-way, balanced, and unbalanced designs with monotonic patterns of variance were considered. Variance ratio (VR) was used as a measure of heterogeneity (1.5, 1.6, 1.7, 1.8, 2, 3, 5, and 9), the coefficient of sample size variation as a measure of inequality between group sizes (0.16, 0.33, and 0.50), and the correlation between variance and group size as an indicator of the pairing between them (1, .50, 0, -.50, and -1). Overall, the results suggest that in terms of Type I error a VR above 1.5 may be established as a rule of thumb for considering a potential threat to F-test robustness under heterogeneity with unequal sample sizes. |
Note: | Versió postprint del document publicat a: https://doi.org/10.3758/s13428-017-0918-2 |
It is part of: | Behavior Research Methods, 2018, vol. 50, num.3, p. 937-962 |
URI: | http://hdl.handle.net/2445/205744 |
Related resource: | https://doi.org/10.3758/s13428-017-0918-2 |
ISSN: | 1554-351X |
Appears in Collections: | Articles publicats en revistes (Psicologia Social i Psicologia Quantitativa) |
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