Hello,
I looked for R packages which focused on order-restricted statistical
inference, but I could find only the isoreg() function.
I would need to test whether the means in my (repeated measures) data follow
a given order, e.g. A<B=C<D.
I took a look at the monograph by Barlow et al. (1972) on this topic and
found that for my case the null hypothesis is always A=B=C=D. This might be
a naive question, but wouldn't it be more appropriate to use "at least
one
pair of means does not follow the alternative hypothesis order", or to use
this latter hypothesis as the alternative and A<B=C<D as the null?
If R packages are not found for my purpose, can somebody please point me to
some recent monographs on order-restricted inference?
Thank you,
Bruno
On Thu, 20 Jul 2006, Bruno L. Giordano wrote:> > If R packages are not found for my purpose, can somebody please point me to > some recent monographs on order-restricted inference? >One more recent book is: Robertson, T., Wright, F., & Dykstra, R. (1988). Order restricted statistical inference. New York: John Wiley and Sons. -thomas Thomas Lumley Assoc. Professor, Biostatistics tlumley at u.washington.edu University of Washington, Seattle
I found this other more recent monograph:
Silvapulle and Sen (October 2004), Constrained Statistical Inference: Order,
Inequality, and Shape Constraints, Wiley-Interscience.
http://ca.wiley.com/WileyCDA/WileyTitle/productCd-0471208272,descCd-reviews.html
Thanks for the tip,
Bruno
----- Original Message -----
From: "Thomas Lumley" <tlumley at u.washington.edu>
To: "Bruno L. Giordano" <bruno.giordano at music.mcgill.ca>
Cc: <r-help at stat.math.ethz.ch>
Sent: Friday, July 21, 2006 11:22 AM
Subject: Re: [R] Order-restricted inference
> On Thu, 20 Jul 2006, Bruno L. Giordano wrote:
>>
>> If R packages are not found for my purpose, can somebody please point
me
>> to
>> some recent monographs on order-restricted inference?
>>
>
> One more recent book is:
> Robertson, T., Wright, F., & Dykstra, R. (1988). Order restricted
> statistical inference. New York: John Wiley and Sons.
>
> -thomas
>
> Thomas Lumley Assoc. Professor, Biostatistics
> tlumley at u.washington.edu University of Washington, Seattle
>
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Bruno L. Giordano, Ph.D.
CIRMMT
Schulich School of Music, McGill University
555 Sherbrooke Street West
Montr?al, QC H3A 1E3
Canada
http://www.music.mcgill.ca/~bruno/