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RE: st: odds ratio vs. RRR in multinomial logistic regression


From   Michelle <cantibridgian@yahoo.com>
To   statalist@hsphsun2.harvard.edu
Subject   RE: st: odds ratio vs. RRR in multinomial logistic regression
Date   Wed, 10 Aug 2005 12:40:29 -0700 (PDT)

Some of the statalist members were kind enough to
respond to my inquiry a few months ago about
interpreting multinomial logistic regression and the
resulting RRR. 

I received this response about reporting the results: 
"For the RRR it would be, for example, 'the relative
risk of outcome 3 associated with X is 0.85 times
the relative risk of outcome 1 associated with X'."

This was helpful, but when I wrote it up in my
dissertation this way, my advisor has told me that I
need to put it in "plain English." Can anyone help me
put this sentence into more interpretable language for
someone who is not very familiar with RRR? 

I had already written up a detailed description of
where the RRR comes from and then followed it with the
results reported as above, but my advisor is still
requiring a more intuitive or interpretable sentence. 

Thank you very much. 


--- David Harrison <david.harrison@icnarc.org> wrote:

> I think your interpretation of the odds ratio is
> wrong. It should be "the odds of outcome 1 given X
> is true are 2.4 times greater than the odds of
> outcome 1 given X is not true."
> 
> For the RRR it would be, for example, "the relative
> risk of outcome 3 associated with X is 0.85 times
> the relative risk of outcome 1 associated with X."
> 
> David
> 
> -----Original Message-----
> From: Michelle [mailto:cantibridgian@yahoo.com]
> Sent: 03 June 2005 14:16
> To: statalist@hsphsun2.harvard.edu
> Subject: RE: st: odds ratio vs. RRR in multinomial
> logistic regression 
> 
> 
> Thanks - this is very helpful. One more question: 
> 
> With odds ratios in binary logistic regression, you
> can easily interpret the exponentiated coefficient
> by
> stating that "the odds of outcome 1 are 2.4 times
> greater than the odds of outcome 2." 
> 
> When I expoentiate the coefficient in multinomial
> logistic regression (or use the RRR that is
> provided),
> I can obviously say "the RRR is .85". But is there
> some more easily interpretable way that I can
> describe
> what this number means, as one could do in binary
> logistic regression? For instance, can I make a
> statement about the probability of outcomes 3 as
> compared to outcome 1? 
> 
> Thanks again. 
> 
> 
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