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st: RE: Inverse mills ratio and ordered logit

From   "Maarten Buis" <>
To   <>
Subject   st: RE: Inverse mills ratio and ordered logit
Date   Thu, 5 Oct 2006 16:08:12 +0200

Unfortunately the inverse mills ratio is derived from the 
normal distribution, while logit and ordered logit use 
the logistic distribution, so this won't work. (Stata will 
do what you say, and it won't complain, but it doesn't 
make sense.) This approach seems more plausible to me with 
-probit- and -oprobit-, since these use the normal 

Maarten L. Buis
Department of Social Research Methodology 
Vrije Universiteit Amsterdam 
Boelelaan 1081 
1081 HV Amsterdam 
The Netherlands

visiting adress:
Buitenveldertselaan 3 (Metropolitan), room Z434 

+31 20 5986715

-----Original Message-----
From: []On Behalf Of Roberto Fontana
Sent: donderdag 5 oktober 2006 15:35
Subject: st: Inverse mills ratio and ordered logit

Dear Statalisters

I am running a two step estimation to check for selection bias. In the first
stage I have a logit. In the second stage I use an ordered logit with some
explanatory variables plus the inverted mills ratio calculated from the first

I am wondering whether this is a correct way to proceed (i.e. whether I get
the corrected standard errors in the second stage). Would there be additional
problems if, instead of the ordered logit, I had a multinomial logit in the
second stage?

In general, can anyone suggest any published article which tried a similar
procedure without OLS in the second stage.

Thank you very much for yor help.


Roberto Fontana (PhD)
CESPRI - Bocconi University
Via Sarfatti 25
20136 MILAN
Tel:    (+)39 02 58363037
Fax:    (+)39 02 58363399
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