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Re: st: AW: AW: Creating a variable taking the value of elasticity


From   Austin Nichols <austinnichols@gmail.com>
To   statalist@hsphsun2.harvard.edu
Subject   Re: st: AW: AW: Creating a variable taking the value of elasticity
Date   Tue, 8 Sep 2009 12:02:40 -0400

Dorothy Bridges<dbstata@gmail.com>:
The main problem I see there is one of inferring causality--does an
exogenous increase in GDP cause an increase in "health" or does an
increase in "health" cause increased production or does some other
factor increase both?  You might want -xtivreg- but then you need
appropriate excluded instruments...

On Tue, Sep 8, 2009 at 11:10 AM, Dorothy Bridges<dbstata@gmail.com> wrote:
> Thanks so much, everyone, that answers my question.  (And thanks Roger
> for pointing me to the helpful package).  I have one last question: I
> am trying to understand the "elasticity" of a health indicator with
> respect to GDP (that is, how does a marginal increase in GDP affect
> the health indicator?).  If I regress ln(healthindicator) on ln(gdp),
> is the coefficient on ln(gdp) an appropriate way of measuring this
> elasticity?  I realize this is more of an econometrics question than a
> Stata question, but everyone has been so helpful I thought I'd might
> as well ask.
>
> Thanks again,
> Dorothy
>
> On Tue, Sep 8, 2009 at 10:52 AM, Austin Nichols<austinnichols@gmail.com> wrote:
>> Dorothy Bridges<dbstata@gmail.com>:
>> The linear model and the log-log model make very different assumptions
>> about the data-generating process, so you should not expect to get the
>> same estimates from them.  -mfx- after a linear model in particular
>> will give approximate estimates that are very questionable--note that
>> if the true model is
>> y=Xb+e
>> then the elasticity of y with respect to x (a variable, or column of
>> X) will vary as x varies.
>>
>> On Tue, Sep 8, 2009 at 10:32 AM, Dorothy Bridges<dbstata@gmail.com> wrote:
>>   I still
>>> don't see, then, how mfx, eyex gives me a value different than the
>>> coefficient on lnx in regress lny lnx.  Thanks again for all your
>>> thoughts.

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