Yes. I too remember BMD, BMDP, punch cards, computer printouts, and 
24-hour turn-around.  However, I am also old enough that when someone asks 
for an antique method, I will gladly supply it if I can, if only for 
historical reasons.




Bert Gunter <gunter.ber...@gene.com> 
08/31/2010 04:41 PM

To
jlu...@ria.buffalo.edu
cc
Iasonas Lamprianou <lampria...@yahoo.com>, r-help@r-project.org, 
r-help-boun...@r-project.org
Subject
Re: [R] Brown-Forsythe test of equality of MEANS






Learned Folks:
 
Well, I've already advertised my ignorance about these matters, so I have 
nothing to lose by plunging ahead with further Questionable "advice."
 
>From the references cited, Brown-Forsythe originated in the statistical 
medieval age -- that is, prior to large scale, cheap computing (to be 
honest, I have dim memories of it in BMD!). Then cameth Brad Efron and the 
enlightenment: If you are concerned about the distribution of this -- or 
indeed any reasonably smooth statistic (and some not so smooth: Hinkley - 
Davison's Bootstrap book has details) -- then bootstrap it. That is, get a 
confidence interval for the difference in means and see whether 0 falls 
within (or whatever Null you wish to test). If you are concerned about 
robustness (whatever that means in this context), well, gosheth! -- we 
have journeyed a long way since the 1970's. Indeed, there are several 
packages (e.g. robust, robustbase) with lots of robust alternatives. Most 
(maybe all?) of which can be bootstrapped, of course. 
 
So walketh with thy computers, my brethren, and enter the great age of 
enlightenment.
 
(Thus endeth the lesson. Caveat Emptor!)
 
Cheers to all,
Bert

On Tue, Aug 31, 2010 at 12:26 PM, <jlu...@ria.buffalo.edu> wrote:
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




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