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From |
Cameron McIntosh <cnm100@hotmail.com> |

To |
STATA LIST <statalist@hsphsun2.harvard.edu> |

Subject |
RE: st: Generating Murphy-Topel standard errors in Stata |

Date |
Tue, 13 Sep 2011 21:39:44 -0400 |

Hi Breanna, I think that a lot of hassle could be saved by estimating this model in -gllamm-, using numerical integration. You could estimate the whole path model (X--->Z---Y; X--->Y) with both the probit and linear links simultaneously rather than in piecemeal fashion, and correct the standard errors for clustering at the same time. I don't know how you would get a consistent estimator of the asymptotic covariance matrix of the parameter estimates by combining the Murphy-Topel and Taylor linearization methods for the clustered case. This would need to be studied. Maybe it has, I don't know, but I think just avoiding that issue with -gllamm- would be the most prudent strategy. Anyway, the model might take a little while to converge in -gllamm-... but my guess is that it would probably not be prohibitively long because you have no latent variables. http://www.gllamm.org/ ; My two cents, Cam > From: breanna.pellegrini@rmit.edu.au > Date: Wed, 14 Sep 2011 11:08:40 +1000 > To: statalist@hsphsun2.harvard.edu > Subject: st: Generating Murphy-Topel standard errors in Stata > > Dear Statalist, > > I have a two-step estimation setup where the first stage is modelled using a binary probit specification. I then use the predicted values from the first stage model as an explanatory regressor in the second stage. The second stage is estimated using a linear regression model. Since I have included a generated regressor in the second stage, the standard errors from the second stage model will need to be adjusted using the Murphy-Topel variance estimator. > > The Stata Journal paper by Hole (2006) titled "Calculating Murphy-Topel variance estimates in Stata: A simplified procedure" (http://www.stata-journal.com/sjpdf.html?articlenum=st0114) provides Stata code for calculating the Murphy-Topel standard errors for a two-step model with a logit model in the first stage and then a Poisson model in the second stage. Additional code changes are also suggested for a number of variations to the model specification at both stages of estimation. > > I have been able to adapt the code from Hole (2006) for my particular model setup and the code runs fine and Murphy-Topel standard errors are produced. However, specific code amendments for the situation of having a linear regression model in the second stage were not discussed in the Hole (2006) paper. So I am a little unsure as to whether I have properly amended my code for the setup of a probit model in the first stage and a linear regression model in the second stage. In particular: > > 1) When calculating the score for the second stage linear regression model can I directly use the second stage code used in Hole (2006, pp. 523) and simply replace "poisson" with "regress"? > > 2) Would I need to also adjust the C-matrix and R-matrix calculations to take into account the residual variance parameter in the linear regression model? Hole (2006) discusses how to account for the auxiliary (dispersion) parameter if a negative binomial model is estimated in the second stage, but how would this be done in a linear regression setup? > > 3) In both stages of my estimation I am also using clustered standard errors to allow for intra-group correlation between twenty different regional sites. Are there any further code adjustments I would need to make to calculate the Murphy-Topel estimates in this case? > > > Any guidance from those who may have previous experience in dealing with and coding the Murphy-Topel variance estimates would be greatly appreciated. > > > Kind regards, > Breanna > > > > > > > Breanna Pellegrini > School of Economics, Finance and Marketing > > RMIT University > 379-405 Russell Street > Melbourne VIC 3000 Australia > > Tel +61 3 9925 0944 > Fax +61 3 9925 5986 > > > > * > * 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/

**References**:**st: Generating Murphy-Topel standard errors in Stata***From:*"Breanna Pellegrini" <breanna.pellegrini@rmit.edu.au>

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