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st: Interpret Ln transormed in logit regression
From |
"Supnithadnaporn, Anupit" <[email protected]> |
To |
statalist <[email protected]> |
Subject |
st: Interpret Ln transormed in logit regression |
Date |
Mon, 29 Dec 2008 20:05:52 -0500 (EST) |
Dear all,
Would anybody please confirm or correct my understanding about the interpretation of these coefficients? Any reference would be appreciated.
Y = Pr(vehicle fail the inspection); coded 1 if fail and 0 if pass
X = ln(income)
Z = other control variables
logit(Y) = a + b_1*X + b_i*Z
Are all of these correct?
b_1 = elasticity = increase income will decrease the odds of Y by b_1
e^b_1 = odds ratio (OR) = odds of Y increase by a factor of [e^b_1] for every unit of ln(income)
(OR-1)*100 = percentage change in odds of Y per unit change of ln(income)
Thank you
Anupit
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