Modified Brown-Forsythe Procedure for Testing Interaction Effects in Split-Plot Designs

Multivariate Behavioral Research
Guillermo Vallejo, Manuel Ato

Abstract

The standard univariate and multivariate methods are conventionally used to analyze continuous data from groups by trials repeated measures designs, in spite of being extremely sensitive to departures from the multisample sphericity assumption when group sizes are unequal. However, in the last 10 years several authors have offered alternative solutions to these tests that do not rest on this assumption. In an attempt to improve the precision of the Brown-Forsythe (BF) procedure, a new approximate degrees of freedom (df) approach is presented in this article. Unlike the BF test, the new method not only assures that the df will be always positive but also provides invariant solutions under linear transformations of the data. Monte Carlo methods are used to compare the new solution, in terms of control of Type I error rates, with the modified empirical generalized least squares and BF methods. Our extensive numerical studies show that the modified BF procedure outperformed the other two methods for a wide range of conditions.

References

Jul 15, 2000·The British Journal of Mathematical and Statistical Psychology·H J KeselmanR J Boik
Sep 4, 2003·Statistics in Medicine·Xun Chen, Lynn Wei
Aug 29, 2006·Computer Methods and Programs in Biomedicine·Guillermo VallejoNélida M Conejo
Oct 1, 1994·Multivariate Behavioral Research·J Algina
Jul 1, 2002·Multivariate Behavioral Research·H J KeselmanRhonda K Kowalchuk
Apr 1, 2005·Multivariate Behavioral Research·Guillermo Vallejo, Pablo Livacic-Rojas
Oct 1, 2003·Multivariate Behavioral Research·Rhonda K KowalchukJames Algina

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Citations

Mar 9, 2012·Behavior Research Methods·Jaume ArnauRebecca Bendayan
Jan 10, 2013·Behavior Research Methods·Jaume ArnauRoser Bono
Nov 30, 2011·Multivariate Behavioral Research·G VallejoE Tuero-Herrero
Oct 23, 2015·Behavior Research Methods·Roser BonoRafael Alarcón
Sep 14, 2013·The British Journal of Mathematical and Statistical Psychology·Jaume ArnauRoser Bono
May 16, 2017·Pain Medicine : the Official Journal of the American Academy of Pain Medicine·Rosa EsteveCarmen Ramírez-Maestre
Sep 4, 2008·Psychological Reports·Guiillermo VallejoPablo E Livacic-Rojas
May 19, 2010·Behavior Research Methods·Guillermo VallejoM Paula Fernández
Oct 14, 2011·Behavior Research Methods·Guillermo Vallejo, Manuel Ato
May 23, 2020·International Journal of Environmental Research and Public Health·Elena Rocío Serrano-IbáñezRosa Esteve
Aug 18, 2020·Behavior Research Methods·Guillermo VallejoPedro Rosário

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