Non-normal data: Is ANOVA still a valid option?

Background: The robustness of F-test to non-normality has been studied from the 1930s through to the present day. However, this extensive body of research has yielded contradictory results, there being evidence both for and against its robustness. This study provides a systematic examination of F-te...

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Autores: Blanca Mena, M. José, Alarcón Postigo, Rafael, Arnau Gras, Jaume, Bono Cabré, Roser, Bendayan, Rebecca
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/122126
Acceso en línea:https://hdl.handle.net/2445/122126
Access Level:acceso abierto
Palabra clave:Anàlisi de variància
Ciències socials
Analysis of variance
Social sciences
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spelling Non-normal data: Is ANOVA still a valid option?Blanca Mena, M. JoséAlarcón Postigo, RafaelArnau Gras, JaumeBono Cabré, RoserBendayan, RebeccaAnàlisi de variànciaCiències socialsAnalysis of varianceSocial sciencesBackground: The robustness of F-test to non-normality has been studied from the 1930s through to the present day. However, this extensive body of research has yielded contradictory results, there being evidence both for and against its robustness. This study provides a systematic examination of F-test robustness to violations of normality in terms of Type I error, considering a wide variety of distributions commonly found in the health and social sciences. Method: We conducted a Monte Carlo simulation study involving a design with three groups and several known and unknown distributions. The manipulated variables were: Equal and unequal group sample sizes; group sample size and total sample size; coeffi cient of sample size variation; shape of the distribution and equal or unequal shapes of the group distributions; and pairing of group size with the degree of contamination in the distribution. Results: The results showed that in terms of Type I error the F-test was robust in 100% of the cases studied, independently of the manipulated conditions.Facultad de Psicología de la Universidad de Oviedo y el Colegio Oficial de Psicólogos del Principado de Asturias2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/122126Articles publicats en revistes (Psicologia Social i Psicologia Quantitativa)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.7334/psicothema2016.383Psicothema, 2017, vol. 29, num. 4, p. 552-557https://doi.org/10.7334/psicothema2016.383(c) Psicothema, 2017info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1221262026-05-27T06:46:51Z
dc.title.none.fl_str_mv Non-normal data: Is ANOVA still a valid option?
title Non-normal data: Is ANOVA still a valid option?
spellingShingle Non-normal data: Is ANOVA still a valid option?
Blanca Mena, M. José
Anàlisi de variància
Ciències socials
Analysis of variance
Social sciences
title_short Non-normal data: Is ANOVA still a valid option?
title_full Non-normal data: Is ANOVA still a valid option?
title_fullStr Non-normal data: Is ANOVA still a valid option?
title_full_unstemmed Non-normal data: Is ANOVA still a valid option?
title_sort Non-normal data: Is ANOVA still a valid option?
dc.creator.none.fl_str_mv Blanca Mena, M. José
Alarcón Postigo, Rafael
Arnau Gras, Jaume
Bono Cabré, Roser
Bendayan, Rebecca
author Blanca Mena, M. José
author_facet Blanca Mena, M. José
Alarcón Postigo, Rafael
Arnau Gras, Jaume
Bono Cabré, Roser
Bendayan, Rebecca
author_role author
author2 Alarcón Postigo, Rafael
Arnau Gras, Jaume
Bono Cabré, Roser
Bendayan, Rebecca
author2_role author
author
author
author
dc.subject.none.fl_str_mv Anàlisi de variància
Ciències socials
Analysis of variance
Social sciences
topic Anàlisi de variància
Ciències socials
Analysis of variance
Social sciences
description Background: The robustness of F-test to non-normality has been studied from the 1930s through to the present day. However, this extensive body of research has yielded contradictory results, there being evidence both for and against its robustness. This study provides a systematic examination of F-test robustness to violations of normality in terms of Type I error, considering a wide variety of distributions commonly found in the health and social sciences. Method: We conducted a Monte Carlo simulation study involving a design with three groups and several known and unknown distributions. The manipulated variables were: Equal and unequal group sample sizes; group sample size and total sample size; coeffi cient of sample size variation; shape of the distribution and equal or unequal shapes of the group distributions; and pairing of group size with the degree of contamination in the distribution. Results: The results showed that in terms of Type I error the F-test was robust in 100% of the cases studied, independently of the manipulated conditions.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/122126
url https://hdl.handle.net/2445/122126
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.7334/psicothema2016.383
Psicothema, 2017, vol. 29, num. 4, p. 552-557
https://doi.org/10.7334/psicothema2016.383
dc.rights.none.fl_str_mv (c) Psicothema, 2017
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Psicothema, 2017
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Facultad de Psicología de la Universidad de Oviedo y el Colegio Oficial de Psicólogos del Principado de Asturias
publisher.none.fl_str_mv Facultad de Psicología de la Universidad de Oviedo y el Colegio Oficial de Psicólogos del Principado de Asturias
dc.source.none.fl_str_mv Articles publicats en revistes (Psicologia Social i Psicologia Quantitativa)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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