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Re: st: interpretation of interaction terms


From   Shehzad Ali <sia500@york.ac.uk>
To   statalist@hsphsun2.harvard.edu
Subject   Re: st: interpretation of interaction terms
Date   16 Dec 2008 09:30:35 +0000

Thanks, Rene and Dave. Semi-elasticity explanation makes good sense. Please feel free to share any references if you get a chance.

Thanks for your help.
Shehzad

On Dec 15 2008, René Geppert wrote:

In an all linear specification, regression coefficients are usually interpreted as marginal effects. Accordingly, in a log-log-specification, regression coefficients can be thought of elasticities. And for a lin-log-model, hence, the coefficient represent something like semi-elasticities.

-René

David Airey schrieb:
Yes, but I think the basic understanding or interpretation of regression coefficients for continuous or binary variables is not altered when a variable has been log transformed. It is true that interactions can be present or absent depending on whether or not a variable has been transformed, because interactions are scale dependent.

-Dave

On Dec 14, 2008, at 7:31 PM, Shehzad Ali wrote:

Hi,

Could someone please help me interpret the following:

1. Coefficient on an interaction term for a dummy and log-transformed variable in an OLS model when the dependent variable is in natural units or is also log-transformed

2. Coefficient on an interaction term for an untransformed continuous and log-transformed variable in an OLS model when the dependent variable is in natural units or is also log-transformed

3. Coefficient on an interaction term between a dummy and log-transformed variable in a probit regression

Thank you,

Shehzad
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