A Wilcoxon–Mann–Whitney Test for Latent Variables

We propose an extension of the Wilcoxon–Mann–Whitney test to compare two groups when the outcome variable is latent. We empirically demonstrate that the test can have superior power properties relative to tests based on Structural Equation Modeling for a variety of settings. In addition, several oth...

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Autores principales:	Heidelinde Dehaene, Jan De Neve, Yves Rosseel
Formato:	article
Lenguaje:	EN
Publicado:	Frontiers Media S.A. 2021
Materias:	rank test measurement error indicators robustness nonparametric inference group comparison Psychology BF1-990
Acceso en línea:	https://doaj.org/article/005f20966c5e4b7e980e8f55682651b2
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id	oai:doaj.org-article:005f20966c5e4b7e980e8f55682651b2
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spelling	oai:doaj.org-article:005f20966c5e4b7e980e8f55682651b22021-11-15T16:31:56ZA Wilcoxon–Mann–Whitney Test for Latent Variables1664-107810.3389/fpsyg.2021.754898https://doaj.org/article/005f20966c5e4b7e980e8f55682651b22021-11-01T00:00:00Zhttps://www.frontiersin.org/articles/10.3389/fpsyg.2021.754898/fullhttps://doaj.org/toc/1664-1078We propose an extension of the Wilcoxon–Mann–Whitney test to compare two groups when the outcome variable is latent. We empirically demonstrate that the test can have superior power properties relative to tests based on Structural Equation Modeling for a variety of settings. In addition, several other advantages of the Wilcoxon–Mann–Whitney test are retained such as robustness to outliers and good small sample performance. We demonstrate the proposed methodology on a case study.Heidelinde DehaeneJan De NeveYves RosseelFrontiers Media S.A.articlerank testmeasurement errorindicatorsrobustnessnonparametric inferencegroup comparisonPsychologyBF1-990ENFrontiers in Psychology, Vol 12 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	rank test measurement error indicators robustness nonparametric inference group comparison Psychology BF1-990
spellingShingle	rank test measurement error indicators robustness nonparametric inference group comparison Psychology BF1-990 Heidelinde Dehaene Jan De Neve Yves Rosseel A Wilcoxon–Mann–Whitney Test for Latent Variables
description	We propose an extension of the Wilcoxon–Mann–Whitney test to compare two groups when the outcome variable is latent. We empirically demonstrate that the test can have superior power properties relative to tests based on Structural Equation Modeling for a variety of settings. In addition, several other advantages of the Wilcoxon–Mann–Whitney test are retained such as robustness to outliers and good small sample performance. We demonstrate the proposed methodology on a case study.
format	article
author	Heidelinde Dehaene Jan De Neve Yves Rosseel
author_facet	Heidelinde Dehaene Jan De Neve Yves Rosseel
author_sort	Heidelinde Dehaene
title	A Wilcoxon–Mann–Whitney Test for Latent Variables
title_short	A Wilcoxon–Mann–Whitney Test for Latent Variables
title_full	A Wilcoxon–Mann–Whitney Test for Latent Variables
title_fullStr	A Wilcoxon–Mann–Whitney Test for Latent Variables
title_full_unstemmed	A Wilcoxon–Mann–Whitney Test for Latent Variables
title_sort	wilcoxon–mann–whitney test for latent variables
publisher	Frontiers Media S.A.
publishDate	2021
url	https://doaj.org/article/005f20966c5e4b7e980e8f55682651b2
work_keys_str_mv	AT heidelindedehaene awilcoxonmannwhitneytestforlatentvariables AT jandeneve awilcoxonmannwhitneytestforlatentvariables AT yvesrosseel awilcoxonmannwhitneytestforlatentvariables AT heidelindedehaene wilcoxonmannwhitneytestforlatentvariables AT jandeneve wilcoxonmannwhitneytestforlatentvariables AT yvesrosseel wilcoxonmannwhitneytestforlatentvariables
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A Wilcoxon–Mann–Whitney Test for Latent Variables

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