Effect size measure for mediation analysis with a multicategorical predictor

Many currently available effect size measures for mediation have limitations when the predictor is nominal with three or more categories. The mediation effect size measure υ was adopted for this situation. A simulation study was conducted to investigate the performance of its estimators. We manipula...

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Main Authors: Zihuan Cao, Heining Cham, Jordan Stiver, Monica Rivera Mindt
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-03-01
Series:Frontiers in Psychology
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fpsyg.2023.1101440/full
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author Zihuan Cao
Heining Cham
Jordan Stiver
Monica Rivera Mindt
author_facet Zihuan Cao
Heining Cham
Jordan Stiver
Monica Rivera Mindt
author_sort Zihuan Cao
collection DOAJ
description Many currently available effect size measures for mediation have limitations when the predictor is nominal with three or more categories. The mediation effect size measure υ was adopted for this situation. A simulation study was conducted to investigate the performance of its estimators. We manipulated several factors in data generation (number of groups, sample size per group, and effect sizes of paths) and effect size estimation [different R-squared (R2) shrinkage estimators]. Results showed that the Olkin–Pratt extended adjusted R2 estimator had the least bias and the smallest MSE in estimating υ across conditions. We also applied different estimators of υ in a real data example. Recommendations and guidelines were provided about the use of this estimator.
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spelling doaj.art-be0d81723a2a47f2a037f4d432e1251e2023-03-10T05:30:40ZengFrontiers Media S.A.Frontiers in Psychology1664-10782023-03-011410.3389/fpsyg.2023.11014401101440Effect size measure for mediation analysis with a multicategorical predictorZihuan CaoHeining ChamJordan StiverMonica Rivera MindtMany currently available effect size measures for mediation have limitations when the predictor is nominal with three or more categories. The mediation effect size measure υ was adopted for this situation. A simulation study was conducted to investigate the performance of its estimators. We manipulated several factors in data generation (number of groups, sample size per group, and effect sizes of paths) and effect size estimation [different R-squared (R2) shrinkage estimators]. Results showed that the Olkin–Pratt extended adjusted R2 estimator had the least bias and the smallest MSE in estimating υ across conditions. We also applied different estimators of υ in a real data example. Recommendations and guidelines were provided about the use of this estimator.https://www.frontiersin.org/articles/10.3389/fpsyg.2023.1101440/fulleffect sizemediation analysiscategorical predictorsimulation studiesR-squared
spellingShingle Zihuan Cao
Heining Cham
Jordan Stiver
Monica Rivera Mindt
Effect size measure for mediation analysis with a multicategorical predictor
Frontiers in Psychology
effect size
mediation analysis
categorical predictor
simulation studies
R-squared
title Effect size measure for mediation analysis with a multicategorical predictor
title_full Effect size measure for mediation analysis with a multicategorical predictor
title_fullStr Effect size measure for mediation analysis with a multicategorical predictor
title_full_unstemmed Effect size measure for mediation analysis with a multicategorical predictor
title_short Effect size measure for mediation analysis with a multicategorical predictor
title_sort effect size measure for mediation analysis with a multicategorical predictor
topic effect size
mediation analysis
categorical predictor
simulation studies
R-squared
url https://www.frontiersin.org/articles/10.3389/fpsyg.2023.1101440/full
work_keys_str_mv AT zihuancao effectsizemeasureformediationanalysiswithamulticategoricalpredictor
AT heiningcham effectsizemeasureformediationanalysiswithamulticategoricalpredictor
AT jordanstiver effectsizemeasureformediationanalysiswithamulticategoricalpredictor
AT monicariveramindt effectsizemeasureformediationanalysiswithamulticategoricalpredictor