How to proceed when both normality and sphericity are violated in repeated measures ANOVA

Adjusted F-tests have typically been proposed as an alternative to the F-statistic in repeated measures ANOVA. Despite considerable re-search, it remains unclear how these statistics perform under simultaneous violation of normality and sphericity. Accordingly, our aim here was to conduct a detailed...

Descripción completa

Detalles Bibliográficos
Autores: Blanca, María J., Alarcón, Rafael, Arnau, Jaume, García-Castro, F. Javier, Bono, Roser
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad de Murcia
Repositorio:DIGITUM. Depósito Digital Institucional de la Universidad de Murcia
OAI Identifier:oai:digitum.um.es:10201/143644
Acceso en línea:https://doi.org/10.6018/analesps.594291
http://hdl.handle.net/10201/143644
Access Level:acceso abierto
Palabra clave:Greenhouse-Geisser adjustment
Huynh-Feldt adjustment
Ajuste Greenhouse-Geisser
Ajuste Huynh-Feldt.
CDU::1 - Filosofía y psicología::159.9 - Psicología
id ES_3fef0bcaba6a093c481b5a76d343fa70
oai_identifier_str oai:digitum.um.es:10201/143644
network_acronym_str ES
network_name_str España
repository_id_str
spelling How to proceed when both normality and sphericity are violated in repeated measures ANOVACómo proceder cuando se violan la normalidad y la esfericidad en el ANOVA de medidas repetidasBlanca, María J.Alarcón, RafaelArnau, JaumeGarcía-Castro, F. JavierBono, RoserGreenhouse-Geisser adjustmentHuynh-Feldt adjustmentAjuste Greenhouse-GeisserAjuste Huynh-Feldt.CDU::1 - Filosofía y psicología::159.9 - PsicologíaAdjusted F-tests have typically been proposed as an alternative to the F-statistic in repeated measures ANOVA. Despite considerable re-search, it remains unclear how these statistics perform under simultaneous violation of normality and sphericity. Accordingly, our aim here was to conduct a detailed examination of Type I error and power of the F-statistic and the Greenhouse-Geisser (F-GG) and Huynh-Feldt (F-HF) adjustments, manipulating the number of repeated measures (3-6), sample size (10-300), sphericity (Greenhouse-Geisser epsilon estimator, , from its lower to upper limit), and distribution shape (slight to extreme deviations from normality). The findings show that the behavior of F-GGand F-HFdepends on the degree of violation of both normality, sphericity, and sample size. Overall, we suggest using F-GG under violation of sphericity and slight or moderate deviations from normality in all sample size; with severe deviations from both normality and sphericity F-GGmay be used with a sample size larger than 10; and with extreme deviation from both normali-ty and sphericity this statistic may be used with a sample size larger than 30. In the event of discrepant results between F-GGand F-HF, the choice depends on the value.Las pruebas F ajustadas se han propuesto como alternativa al estadístico F en el ANOVA de medidas repetidas. A pesar de existir investigación previa, falta evidencia sobre el comportamiento de estos estadísticos en caso de violación simultánea de normalidad y esfericidad. El objetivo del presente trabajo ha sido realizar un examen detallado del error de tipo I y la potencia del estadístico F y los ajustes de Greenhouse-Geisser (F-GG) y Huynh-Feldt (F-HF), manipulando el número de medidas repetidas (3-6), el tamaño de la muestra (10-300), la esfericidad (estimador Green-house-Geisser de épsilon, , desde su límite inferior al superior), y la forma de la distribución (desde desviaciones leves a extremas de la normalidad). Los resultados muestran que el comportamiento de F-GG y F-HF depende del grado de violación de la normalidad, esfericidad y tamaño muestral. En general, se sugiere utilizar F-GG en caso de violación de la esfericidad y desviaciones leves o moderadas de la normalidad; con desviaciones graves de ambos, F-GG puede utilizarse con un tamaño muestral superior a 10; y con desviaciones extremas, este estadístico puede utilizarse con un tamaño muestral superior a 30. En caso de resultados discrepantes entre F-GG y F-HF, la elección depende del valor .Universidad de Murcia. Servicio de Publicaciones202420242024info:eu-repo/semantics/articleapplication/pdf15application/pdfhttps://doi.org/10.6018/analesps.594291http://hdl.handle.net/10201/143644reponame:DIGITUM. Depósito Digital Institucional de la Universidad de Murciainstname:Universidad de MurciaInglés"Sin financiación externa a la Universidad"info:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/oai:digitum.um.es:10201/1436442026-05-27T12:40:41Z
dc.title.none.fl_str_mv How to proceed when both normality and sphericity are violated in repeated measures ANOVA
Cómo proceder cuando se violan la normalidad y la esfericidad en el ANOVA de medidas repetidas
title How to proceed when both normality and sphericity are violated in repeated measures ANOVA
spellingShingle How to proceed when both normality and sphericity are violated in repeated measures ANOVA
Blanca, María J.
Greenhouse-Geisser adjustment
Huynh-Feldt adjustment
Ajuste Greenhouse-Geisser
Ajuste Huynh-Feldt.
CDU::1 - Filosofía y psicología::159.9 - Psicología
title_short How to proceed when both normality and sphericity are violated in repeated measures ANOVA
title_full How to proceed when both normality and sphericity are violated in repeated measures ANOVA
title_fullStr How to proceed when both normality and sphericity are violated in repeated measures ANOVA
title_full_unstemmed How to proceed when both normality and sphericity are violated in repeated measures ANOVA
title_sort How to proceed when both normality and sphericity are violated in repeated measures ANOVA
dc.creator.none.fl_str_mv Blanca, María J.
Alarcón, Rafael
Arnau, Jaume
García-Castro, F. Javier
Bono, Roser
author Blanca, María J.
author_facet Blanca, María J.
Alarcón, Rafael
Arnau, Jaume
García-Castro, F. Javier
Bono, Roser
author_role author
author2 Alarcón, Rafael
Arnau, Jaume
García-Castro, F. Javier
Bono, Roser
author2_role author
author
author
author
dc.subject.none.fl_str_mv Greenhouse-Geisser adjustment
Huynh-Feldt adjustment
Ajuste Greenhouse-Geisser
Ajuste Huynh-Feldt.
CDU::1 - Filosofía y psicología::159.9 - Psicología
topic Greenhouse-Geisser adjustment
Huynh-Feldt adjustment
Ajuste Greenhouse-Geisser
Ajuste Huynh-Feldt.
CDU::1 - Filosofía y psicología::159.9 - Psicología
description Adjusted F-tests have typically been proposed as an alternative to the F-statistic in repeated measures ANOVA. Despite considerable re-search, it remains unclear how these statistics perform under simultaneous violation of normality and sphericity. Accordingly, our aim here was to conduct a detailed examination of Type I error and power of the F-statistic and the Greenhouse-Geisser (F-GG) and Huynh-Feldt (F-HF) adjustments, manipulating the number of repeated measures (3-6), sample size (10-300), sphericity (Greenhouse-Geisser epsilon estimator, , from its lower to upper limit), and distribution shape (slight to extreme deviations from normality). The findings show that the behavior of F-GGand F-HFdepends on the degree of violation of both normality, sphericity, and sample size. Overall, we suggest using F-GG under violation of sphericity and slight or moderate deviations from normality in all sample size; with severe deviations from both normality and sphericity F-GGmay be used with a sample size larger than 10; and with extreme deviation from both normali-ty and sphericity this statistic may be used with a sample size larger than 30. In the event of discrepant results between F-GGand F-HF, the choice depends on the value.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://doi.org/10.6018/analesps.594291
http://hdl.handle.net/10201/143644
url https://doi.org/10.6018/analesps.594291
http://hdl.handle.net/10201/143644
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv "Sin financiación externa a la Universidad"
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.format.none.fl_str_mv application/pdf
15
application/pdf
dc.publisher.none.fl_str_mv Universidad de Murcia. Servicio de Publicaciones
publisher.none.fl_str_mv Universidad de Murcia. Servicio de Publicaciones
dc.source.none.fl_str_mv reponame:DIGITUM. Depósito Digital Institucional de la Universidad de Murcia
instname:Universidad de Murcia
instname_str Universidad de Murcia
reponame_str DIGITUM. Depósito Digital Institucional de la Universidad de Murcia
collection DIGITUM. Depósito Digital Institucional de la Universidad de Murcia
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869406701366542336
score 15,811543

Similares en LA Referencia