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st: Interpretation of log transformed variables in logistic regression?


From   Jason Davis <jason_davis@umail.ucsb.edu>
To   statalist@hsphsun2.harvard.edu
Subject   st: Interpretation of log transformed variables in logistic regression?
Date   Fri, 06 Feb 2009 07:19:25 -0800

I can use some help with this one. I have run a multivariate logistical regression with log transformed continuous variables, non-transformed continous variables, and some categorical variables. The DV is birth outcome in a given year (yes/no) and the IV of interest is income (log transformed). The results are in odds ratios. My confusion is how do I interpret the odds ratio of the log transformed continous variable. Specifically, the odds ratio of log income is 5.4. If I back transform this I get 1.68. This does not seem right, as a $1 increase in income would raise the odds of giving birth in a given year by 68%. This would mean $1,000 raise would increase the odds by 0.68*1000 or a 680% increase in the odds of giving birth. Any suggestions would be greatly appreciated.

Jason

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