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Title: Comparison of semiparametric approaches to two-way ANOVA in the presence of heteroscedasticity
Authors: Pereira, Dulce
Afonso, Anabela
Editors: Bispo, Regina
Henriques-Rodrigues, Lígia
Alpizar-Jara, Russell
Carvalho, Miguel
Keywords: Interaction
Permutation tests
Wald statistics
Issue Date: Dec-2022
Citation: Pereira, D.G., Afonso, A. (2022). Comparison of Semiparametric Approaches to Two-Way ANOVA in the Presence of Heteroscedasticity. In: Bispo, R., Henriques-Rodrigues, L., Alpizar-Jara, R., de Carvalho, M. (eds) Recent Developments in Statistics and Data Science. SPE 2021. Springer Proceedings in Mathematics & Statistics, vol 398, 189-201. Springer, Cham.
Abstract: Factorial analysis of variance designs is commonly used in several fields like biology, ecology and social sciences. However, in practice, the underlying assumptions, normality and homoscedasticity, are easily violated. In recent years, several alternative tests were proposed to relax these assumptions, the Wald-type statistics and the ANOVA-type statistics, and tests based on the permutation of observations. Few studies are focusing on the performance of the permutation tests in the presence of heterogeneity. This work intends to contribute to this last analysis. A simulation study is carried out, considering balanced designs, with an equal number of factor levels and several types of discrete distributions with different degrees of dispersion.
ISBN: 978-3-031-12766-3
Type: bookPart
Appears in Collections:CIMA - Publicações - Capítulos de Livros

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