The following reference that contains a short Fortran program for the Brown-Forsythe ANOVA
Reed, James F., I. & Stark, D. B. Robust alternatives to traditional analyses of variance: Welch $W^*$, James $J_I^*$, James $J_II^*$, and Brown-Forsythe $BF^*$ Computer Methods and Programs in Biomedicine, 1988, 26, 233-238 Iasonas Lamprianou <lampria...@yahoo.com> Sent by: r-help-boun...@r-project.org 08/30/2010 04:05 PM To r-help@r-project.org cc Subject [R] Brown-Forsythe test of equality of MEANS Dear friends, two years ago (as I found on the web) Paul sent the following message but I was not able to find if he got an answer. Today I have the same question and it would be great if I could find out that this test has been implemented (somehow) in R. Please do not confuse it with the Brown-Forsythe test of equality of variances. Thank you: I've been searching around for a function for computing the Brown-Forsythe F* statistic which is a substitute for the normal ANOVA F statistic for when there are unequal variances, and when there is evidence of non-normality. A couple of other people have asked this question, the responses I found have been: ?oneway.test However, that function appears to use the Welch W statistic which, while good at handling unequal variances, is not as good as F* at handling non-normal distributions (or so my textbook tells me). So, two questions: 1. Is there a function ready to use for calculating the Brown-Forsythe F*? 2. If not, what do people use for checking the results of a (one-way) ANOVA when there is non-normality as well as non-constant variances? Thanks, Dr. Iasonas Lamprianou Assistant Professor (Educational Research and Evaluation) Department of Education Sciences European University-Cyprus P.O. Box 22006 1516 Nicosia Cyprus Tel.: +357-22-713178 Fax: +357-22-590539 Honorary Research Fellow Department of Education The University of Manchester Oxford Road, Manchester M13 9PL, UK Tel. 0044 161 275 3485 iasonas.lampria...@manchester.ac.uk ______________________________________________ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code. [[alternative HTML version deleted]] ______________________________________________ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.