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1. Verfasser: Consiglio, Joseph D
Format: Preprint
Veröffentlicht: 2026
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Online-Zugang:https://arxiv.org/abs/2604.18774
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author Consiglio, Joseph D
author_facet Consiglio, Joseph D
contents Popular software packages report four generalizations of the ANOVA F test when conducting a multivariate analysis of variance (MANOVA). The reported operating characteristics of these fours tests vary widely depending on which research article the reader chooses. Some studies report extremely high type I error rates for a particular test even under ideal assumptions of multivariate normality and homoskedasticity; other studies report rates near the nominal level despite violations of the model assumptions. This simulation study seeks to clarify this apparent contradiction by providing a systematic evaluation of the type I error rates of the four statistics used to test for a group effect in MANOVA.
format Preprint
id arxiv_https___arxiv_org_abs_2604_18774
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A simulation study to resolve conflicting evidence on the error rates from MANOVA group tests
Consiglio, Joseph D
Computation
Methodology
Popular software packages report four generalizations of the ANOVA F test when conducting a multivariate analysis of variance (MANOVA). The reported operating characteristics of these fours tests vary widely depending on which research article the reader chooses. Some studies report extremely high type I error rates for a particular test even under ideal assumptions of multivariate normality and homoskedasticity; other studies report rates near the nominal level despite violations of the model assumptions. This simulation study seeks to clarify this apparent contradiction by providing a systematic evaluation of the type I error rates of the four statistics used to test for a group effect in MANOVA.
title A simulation study to resolve conflicting evidence on the error rates from MANOVA group tests
topic Computation
Methodology
url https://arxiv.org/abs/2604.18774