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
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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




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