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Re: non-central t : R v.Splus

To: "Robert Kinley" <KINLEY_ROBERT@LILLY.COM>, <s-news@lists.biostat.wustl.edu>, <r-help@stat.math.ethz.ch>
Subject: Re: non-central t : R v.Splus
From: "Dimitris Rizopoulos" <dimitris.rizopoulos@med.kuleuven.be>
Date: Wed, 14 Sep 2005 15:42:10 +0200
References: <OF502E8887.DB3685DC-ON8025707C.004426FE-8025707C.0049A6B9@EliLilly.lilly.com>
I think that you might find the following usefull:

http://www.biostat.wustl.edu/archives/html/s-news/2002-11/msg00079.html


I hope this helps.

Best,
Dimitris

----
Dimitris Rizopoulos
Ph.D. Student
Biostatistical Centre
School of Public Health
Catholic University of Leuven

Address: Kapucijnenvoer 35, Leuven, Belgium
Tel: +32/16/336899
Fax: +32/16/337015
Web: http://www.med.kuleuven.be/biostat/
    http://www.student.kuleuven.be/~m0390867/dimitris.htm


----- Original Message ----- From: "Robert Kinley" <KINLEY_ROBERT@LILLY.COM>
To: <s-news@lists.biostat.wustl.edu>; <r-help@stat.math.ethz.ch>
Sent: Wednesday, September 14, 2005 3:24 PM
Subject: [S] non-central t : R v.Splus


Hi

For bureaucratic reasons beyond my control I need to rewrite an R function (for producing operating characteristic curves) as an Splus function (
version 6 , windows XP ).

The R function makes extensive use of the fact that the student's t
distribution function pt() has a non-centrality parameter built in ...
sadly that parameter is not present in the Splus pt() function .

However, the Splus f distribution function pf() does have such a parameter , so I have tried to write my own non-central version of pt() based around
pf() , using the relationship between the t and F distributions.

Unfortunately my success has been limited ... I can only get correct probabilities for part of the range of the quantile space , failing when the quantile becomes small ... and I'm beginning to wonder whether it's actually possible to do what I want at all , given that the range of x in
F(x) is [ 0:Inf ] while that in t(x) is [-Inf , Inf ] , and the
non-central t  distribution is not symmetric ...

Do any wiser heads than mine have any experience or advice to offer ...
?

       thanks          Bob Kinley



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