# Re: st: Re: Reporting Gamma Regression

 From Roger Newson <[email protected]> To [email protected] Subject Re: st: Re: Reporting Gamma Regression Date Mon, 09 Aug 2004 17:15:29 +0100

I would exponentiate the coefficients using -eform-, and describe them as arithmetic means and/or arithmetic mean ratios. These ratios may be ratios between 2 group arithmetic means, or ratios caused by a unit increment in a continuous X-variable. They are similar to (but not identical to) the geometric means and geometric mean ratios measured by the eform() option of -regress- with logged data. (My Stata tip on geometric mean ratios can be downloaded in Stata by typing

findit gmratio

and downloading the tip in .pdf format.) Arithmetic mean ratios have the advantage over geometric mean ratios that they still exist for variables with a nonzero probability of being zero.

I hope this helps.

Roger

At 16:44 09/08/2004, Joseph Coveney wrote:

Stephen Soldz wrote:

> A non-Stata question, though I'm using Stata for the anlysis. I'm analysing
> cost data and have used a GLM with gamma family and log link. The question I
> have is regards reporyting results. Should I exponentiate the coefficients
> (eform)? If so, any suggestions on how to describe this? Does anyone know of
> published examples I could refer to?

Did you ever get an answer?

The examples that crop up on the Web tend to either leave the coefficients
unexponentiated ( http://harrisschool.uchicago.edu/pdf/wp_03_13.pdf this is
Willard Manning, Anirban Basu & John Mullahy) or seem to use predictions (mu)
and talk about changes in them
( www.journals.uchicago.edu/CID/journal/issues/v33n12/001639/001639.text.html
and www.dianthus.co.uk/resources/sampleReport.pdf , and maybe

Log-gamma models are discussed in J. Hardin & J. Hilbe, _Generalized Linear
Models and Extensions_ (College Station, Texas: Stata Corporation, 2001),
pp. 69-71. They, too, didn't exponentiate the coefficients.

The one example of exponentiated coefficients that turned up (not exhaustive)
( www.mrc-bsu.cam.ac.uk/BSUsite/Publications/Preprints/glm_p6.pdf ) didn't give
them a very snazzy name, analogous to risk ratios or incidence rate ratios.

Joseph Coveney

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Roger Newson
Lecturer in Medical Statistics
Department of Public Health Sciences
King's College London
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