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st: LR test and rho statistics in bioprobit


From   kyohey <k-matsushita@biwako.shiga-u.ac.jp>
To   statalist@hsphsun2.harvard.edu
Subject   st: LR test and rho statistics in bioprobit
Date   Fri, 24 Jun 2011 01:16:11 -0700 (PDT)

Dear Statalist users, 

I run a bioprobit model with Stata11 and I wondered if anybody can help me
with an explanation for the estimated rho and LR test. When I try to run the
following code 

bioprobit (y1 = x1 x2 x3) (y2 = x1 x2), end
*Where y1 is my endogenous regressor and is instrumented using x3 

I get the following results
rho : Coef = -.1001432, Std.Err. = .1201227
LR test of indep. eqns. : chi2(1) = 5.01,   Prob > chi2 = 0.0253

I think LR test in bioprobit tells us the independence of equations
hypothesis (that is, rho=0) and "Prob > chi2(1)= 0.0253" indicates the null
hypothesis is rejected and correlation might exist. However, on the
contrary, the statistics of rho indicates it is not significant. In this
case, how do I interpret the correlation between equations?

I would greatly appreciate any assistance which you might be able to
provide. 

Thanks much 
Kyohey

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