s-news
[Top] [All Lists]

Re: NLS r-squared

To: "Monroe, Dean" <dean.monroe@okstate.edu>
Subject: Re: NLS r-squared
From: Tim Hesterberg <timh@insightful.com>
Date: Thu, 20 Dec 2007 11:05:42 -0800
Cc: <s-news@lists.biostat.wustl.edu>
In-reply-to: <52947139674D104092570C35D355F65C1661C7@EXE3.ad.okstate.edu> (dean.monroe@okstate.edu)
References: <52947139674D104092570C35D355F65C1661C7@EXE3.ad.okstate.edu>
>I have ran into a situation with an editor: he decidedly wants an
>R-squared value for one of my Non-linear regression trials.  It was
>my understanding that r-squared was not suited for non-linear
>reporting, plus it is not reported in splus.

It would be appropriate to report R^2, as a descriptive measure of
goodness of fit of the regression.

Be careful about using the R^2 in a hypothesis test for significance
of the regression - the distribution of the R^2 statistic in nonlinear
regression may not be the same as in linear regression.

>I have been using r^2= 1- (sse/sst) is this a suitable method for NLS?

That gives raw R^2.

It would be better to report an adjusted R^2, adjusted using the estimated
degrees of freedom of the nonlinear regression or smoother.

========================================================
| Tim Hesterberg       Senior Research Scientist       |
| timh@insightful.com  Insightful Corp.                |
| (206)802-2319        1700 Westlake Ave. N, Suite 500 |
| (206)283-8691 (fax)  Seattle, WA 98109-3044, U.S.A.  |
|                      www.insightful.com/Hesterberg   |
========================================================
Download S+Resample from www.insightful.com/downloads/libraries

All statements in this message represent the opinions of the author and do
not necessarily reflect Insightful policy or position.

<Prev in Thread] Current Thread [Next in Thread>