RT Journal Article
T1 Effect of variance ratio on ANOVA robustness: Might 1.5 be the limit?
A1 Blanca-Mena, María José
A1 Alarcón-Postigo, Rafael
A1 Arnau, Jaume
A1 Bono Cabré, Roser
A1 Bendayan, Rebecca
K1 Psicología - Investigación
K1 Análisis de varianza
AB 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 dif ferent measures used to quantify heterogeneity. In the present paper we use Monte Carlo simulation to systematically exam ine the Type I error rate of F-test under heterogeneity. One way, balanced, and unbalanced designs with monotonic pat terns 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 indica tor 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 con sidering a potential threat to F-test robustness under heteroge neity with unequal sample sizes.
PB Springer
YR 2017
FD 2017-06-22
LK https://hdl.handle.net/10630/28688
UL https://hdl.handle.net/10630/28688
LA eng
NO Blanca, M. J., Alarcón, R., Arnau, J., Bono, R., & Bendayan, R. (2018). Effect of variance ratio on ANOVA robustness: Might 1.5 be the limit? Behavior Research Methods, 50(3), 937-962. https://doi.org/10.3758/s13428-017-0918-2I.
NO POLÍTICA DE ACCESO ABIERTO TOMADA DE: https://v2.sherpa.ac.uk/id/publication/13117
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 13 abr 2026