Estimating an Effect Size in One-Way Multivariate Analysis of Variance (MANOVA)

Multivariate Behavioral Research
H S Steyn, S M Ellis

Abstract

When two or more univariate population means are compared, the proportion of variation in the dependent variable accounted for by population group membership is eta-squared. This effect size can be generalized by using multivariate measures of association, based on the multivariate analysis of variance (MANOVA) statistics, to establish whether population mean vectors are practically significant different. In the case of random samples from populations, approximate and asymptotically unbiased estimators of these effect sizes as well as confidence intervals are suggested under the assumptions of equal covariance matrices and normality. Statistical properties of these estimators are studied by Monte Carlo simulations. The accuracy and spread of the proposed effect sizes are also compared with those of other multivariate measures of association in Monte Carlo simulations. The proposed effect sizes are also illustrated by applying them in an empirical example using college admission test data obtained from StatSoft (2007) .

References

Jun 30, 2000·Contemporary Educational Psychology·S Olejnik, J Algina
Oct 1, 2005·Multivariate Behavioral Research·Soyoung Kim, Stephen Olejnik

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Citations

Dec 19, 2012·Journal of Autism and Developmental Disorders·Chathuri DaluwatteGang Yao
Sep 1, 2013·Multivariate Behavioral Research·Lisa L HarlowSunny R Duerr
Nov 1, 1977·The Journal of School Health·T W O'Rourke, J P Allegrante
May 7, 2013·Biological Psychology·Sigrun WeiseWalton T Roth
Aug 10, 2016·Complementary Therapies in Clinical Practice·Eric LindahlLisa Ferguson-Stegall
Jun 22, 2016·Accident; Analysis and Prevention·Damián-Amaro Egea-CaparrósLaura Pineda-Egea
Mar 3, 2010·CBE Life Sciences Education·Marie C Desaulniers MillerGerald L Ketterling
Jan 28, 2017·Journal of Diabetes and Metabolic Disorders·Cho Naing, Joon Wah Mak
Mar 14, 2021·Journal of Evolutionary Biology·Diane Colombelli-Négrel, Sonia Kleindorfer

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Software Mentioned

STATISTICA
DEMPSTER
SAS

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