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From |
"Clive Nicholas" <clivelists@googlemail.com> |

To |
statalist@hsphsun2.harvard.edu |

Subject |
Re: st: Interpreting a log-level specification with a rate |

Date |
Sun, 9 Mar 2008 08:45:36 +0000 |

Stefan Duke wrote: > I have a statistics related question, not directly stata. But maybe > still somebody can help me as I am puzzeled. > I ran a regression > log(y) = c + b*m > > where m is the migration rate per 1000 residents. I want to know how > to interpret the coefficient b. In text books the usual interpretation > for log-level specification is > % delta y = (100 b) delta m > > So delta m is taken as 1 and an increase by 1 unit in the independent > leads to a b*100 percentage increase in y. > But I have a rate per thousand as the independent variable. Hence an > increase by 1 unit would mean 1000 emigrants per 1000 resident which > doesn't make much sense. Has anybody any thoughts? Divide _m_ by 10 to make it a percentage variable, take its log and then regress on _y_ on _m_. After fitting your model, say, with -glm- plus the -fam(bin)-, link(logit)- and -robust- options, _m_ should then have a percentage interpretation (i.e., a 1-unit increase in the _m_ parameter = a 100% increase in the _m_ variable). Exponentiate it with -eform- for an odds-ratio interpretation. -- Clive Nicholas [Please DO NOT mail me personally here, but at <clivenicholas@hotmail.com>. Thanks!] "Courage is going from failure to failure without losing enthusiasm." -- Winston Churchill * * For searches and help try: * http://www.stata.com/support/faqs/res/findit.html * http://www.stata.com/support/statalist/faq * http://www.ats.ucla.edu/stat/stata/

**References**:**st: Interpreting a log-level specification with a rate***From:*"stefan.duke@gmail.com" <stefan.duke@gmail.com>

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