In this article, we describe an iterative approach for the estimation of linear regression models with high-dimensional fixed effects. This approach is computationally intensive but imposes minimum memory requirements. We also show that the approach can be extended to nonlinear models and to more than two high-dimensional fixed effects.
AbowdJ. M., CreecyR. H., and KramarzF.2002. Computing person and firm effects using linked longitudinal employer–employee data. Technical Paper No. TP-2002-06, Center for Economic Studies, U.S. Census Bureau.http://lehd.did.census.gov/led/library/techpapers/tp-2002-06.pdf.
2.
AbowdJ. M., KramarzF., and MargolisD. N.1999. High wage workers and high wage firms. Econometrica67: 251–333.
3.
AndrewsM., SchankT., and UpwardR.2006. Practical fixed-effects estimation methods for the three-way error-components model. Stata Journal6: 461–481.
4.
CarneiroA., GuimarãesP., and PortugalP.2010. Real wages and the business cycle: Accounting for worker, firm, and job heterogeneity. Unpublished manuscript.
5.
ChamberlainG.1980. Analysis of covariance with qualitative data. Review of Economic Studies47: 225–238.
6.
CornelissenT.2008. The Stata command felsdvreg to fit a linear model with two high-dimensional fixed effects. Stata Journal8: 170–189.
7.
GreeneW.2004. The behaviour of the maximum likelihood estimator of limited dependent variable models in the presence of fixed effects. Econometrics Journal7: 98–119.
8.
GuimarãesP.2004. Understanding the multinomial-Poisson transformation. Stata Journal4: 265–273.
9.
GuimarãesP.2008. The fixed effects negative binomial model revisited. Economics Letters99: 63–66.
10.
HsiaoC.2003. Analysis of Panel Data. 2nd ed. Cambridge: Cambridge University Press.
11.
LancasterT.2000. The incidental parameter problem since 1948. Journal of Econometrics95: 391–413.
12.
NeymanJ., and ScottE.1948. Consistent estimation from partially consistent observations. Econometrica16: 1–32.
13.
SmythG. K.1996. Partitioned algorithms for maximum likelihood and other nonlinear estimation. Statistics and Computing6: 201–216.