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Re: st: RE: Interpretation of regression outputs when variables are log transformed


From   Marco Buur <[email protected]>
To   [email protected]
Subject   Re: st: RE: Interpretation of regression outputs when variables are log transformed
Date   Thu, 3 Mar 2011 09:37:57 +0100

Dear Nick
Thanks for the tip
I have xtreg, re cluster () model where eform() doesn't work. I run it
as reg, cluster () and it works. I assume that now we interpret the
results in the way as without log-log transformation?
  So for every unit increase in Y, a 1.33 unit increase in X will be
predicted, holding Z variable constant?
-----------------------------------------------------
             |               Robust
log(X)       |   GM/Ratio   Std. Err.      t    P>|t|
-------------+----------------------------------------
log(Y)       |    1.33217     .145      4.44   0.000
log(Z)       |    2.724049    .333      7.67   0.000



Many thanks
Marco
On Wed, Mar 2, 2011 at 7:07 PM, Nick Cox <[email protected]> wrote:
> This may help:
>
> SJ-3-4  st0054  . . . . . . . . . . Stata tip 1: The eform() option of regress
>        . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  R. Newson
>        Q4/03   SJ 3(4):445                                      (no commands)
>        tips for using the eform() option of regress
>
> http://www.stata-journal.com/sjpdf.html?articlenum=st0054
>
> Nick
> [email protected]
>
> Marco Buur
>
> Me and my colleague are not sure that our interpretations of the
> results are correct. Please confirm!
>
> 10% increase in Y will increase X for 1.1^0.223=1.021481649 which is
> 2.1% and 10 % increase in Z will increase X for 1.1^1.05=1.10525457
> which is 10.5%.
>
> Is this correct?
>
> -----------------------------------------------------------
>              |               Robust
>    Log(X)    |      Coef.   Std. Err.      z    P>|z|
> -------------+----------------------------------------------
>    Log(Y)    |   .223     .033     3.57   0.000
>    Log(Z)    |   1.05     .1045    11.14  0.000
>
>
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