# st: Interpretation of log transformed variables in logistic regression?

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## st: Interpretation of log transformed variables in logistic regression?

 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 * *   For searches and help try: *   http://www.stata.com/help.cgi?search*   http://www.stata.com/support/statalist/faq*   http://www.ats.ucla.edu/stat/stata/
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## st: AW: Interpretation of log transformed variables in logistic regression?

 <> "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." Quite apart from the log transformation prob, careful with those marginal effects. "Marginal" means for a small change so you cannot extrapolate that to a huge increase like your 1000 bucks... Also, -mfx- stresses the fact that the impact will be different depending on the value the covariates take on. As As default, the mean is assumed but you can ask for other evaluation points... HTH Martin -----Ursprüngliche Nachricht----- Von: [hidden email] [mailto:[hidden email]] Im Auftrag von Jason Davis Gesendet: Freitag, 6. Februar 2009 16:19 An: [hidden email] Betreff: st: Interpretation of log transformed variables in logistic regression? 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 * *   For searches and help try: *   http://www.stata.com/help.cgi?search*   http://www.stata.com/support/statalist/faq*   http://www.ats.ucla.edu/stat/stata/* *   For searches and help try: *   http://www.stata.com/help.cgi?search*   http://www.stata.com/support/statalist/faq*   http://www.ats.ucla.edu/stat/stata/
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## Re: st: Interpretation of log transformed variables in logistic regression?

 In reply to this post by Jason Davis-4 Jason Davis <[hidden email]>: A one-unit increase in log income is a 172% increase in income, which you estimate increases the odds of birth fivefold (a one-unit increase in log income increases log odds by 1.68 so a one-percent increase in income, or increase in log income of .01, increases log odds by .0168).  If the odds of birth are .0204 at mean income, a one-percent increase in income increases them to .0207 or so, according to your estimates.  You have bigger problems--income is not exogenous, so an exogenous increase in income might in fact have a very different causal impact on the odds of birth than the one you estimate.  Perhaps even a negative impact, rather than a positive one. On Fri, Feb 6, 2009 at 10:19 AM, Jason Davis <[hidden email]> wrote: > 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. * *   For searches and help try: *   http://www.stata.com/help.cgi?search*   http://www.stata.com/support/statalist/faq*   http://www.ats.ucla.edu/stat/stata/