We developed a general-purpose multivariate decomposition command for nonlinear response models that incorporates several recent contributions to overcome various problems dealing with path dependence and identification. This work extends existing Stata packages in important ways by including additional models and allowing for weights and model offsets.
AgrestiA.2002. Categorical Data Analysis. 2nd ed. Hoboken, NJ: Wiley.
2.
AlthauserR. P., and WiglerM.1972. Standardization and component analysis. Sociological Methods and Research1: 97–135.
3.
BartusT.2006. Marginal effects and extending the Blinder–Oaxaca decomposition for nonlinear models. UK Stata Users Group meeting proceedings.http://ideas.repec.org/p/boc/usug06/05.html.
4.
BauerT. K., GöhlmannS., and SinningM.2007. Gender differences in smoking behavior. Health Economics16: 895–909.
5.
BlinderA. S.1973. Wage discrimination: Reduced form and structural estimates. Journal of Human Resources8: 436–455.
6.
BlumenI., KoganM., and McCarthyP.1955. The Industrial Mobility of Labor as a Probability Process.Ithaca, NY: Cornell University Press.
7.
BowblisJ. R., and YunM.-S.2010. Racial and ethnic disparities in the use of drug therapy. Social Science Research39: 674–684.
8.
CameronA. C., and TrivediP. K.1998. Regression Analysis of Count Data.Cambridge: Cambridge University Press.
9.
ColemanJ. S., BerryC. C., and BlumZ. D.1971. White and black careers during the first ten years of work experience: A simultaneous consideration of occupational status and income changes. Johns Hopkins University Center for Social Organization of Schools Report 76.
10.
ColemanJ. S., and BlumZ. D.1971. Note on the decomposition of differences between two groups. Unpublished manuscript, Johns Hopkins University.
11.
DaymontT. N., and AndrisaniP. J.1984. Job preferences, college major, and the gender gap in earnings. Journal of Human Resources19: 408–428.
12.
DuncanO. D.1969. Inheritance of poverty or inheritance of race? In Understanding Poverty, ed. MoynihanD. P., 85–110. New York: Basic Books.
13.
DuncanO. D., FeathermanD. L., and DuncanB.1968. Socioeconomic background and occupational achievement: Extensions of a basic model. Technical report, Department of Health, Education and Welfare, Washington, DC.
14.
EvenW. E., and MacphersonD. A.1993. The decline of private-sector unionization and the gender wage gap. Journal of Human Resources28: 279–296.
15.
FairlieR. W.2005. An extension of the Blinder–Oaxaca decomposition technique to logit and probit models. Journal of Economic and Social Measurement30: 305–316.
16.
GomulkaJ., and SternN.1990. The employment of married women in the United Kingdom 1970–83. Economica57: 171–199.
GreenwoodM., and YuleG. U.1920. An inquiry into the nature of the frequency distributions representative of multiple happenings with particular reference to the occurrence of multiple attacks of disease or of repeated accidents. Journal of the Royal Statistical Society, Series A83: 255–279.
19.
HeckmanJ. J., and SingerB.1982. Population heterogeneity in demographic models. InMultidimensional Mathematical Demography, ed. LandK. C., and RogersA., 567–599. New York: Academic Press.
20.
HougaardP.1984. Life table methods for heterogeneous populations: Distributions describing the heterogeneity. Biometrika71: 75–83.
21.
JannB.2005. devcon: Stata module to apply the deviation contrast transform to estimation results. Statistical Software Components S450603, Department of Economics, Boston College. http://ideas.repec.org/c/boc/bocode/s450603.html.
22.
JannB.2006. fairlie: Stata module to generate nonlinear decomposition of binary outcome differentials. Statistical Software Components S456727, Department of Economics, Boston College. http://ideas.repec.org/c/boc/bocode/s456727.html.
23.
JannB.2008. The Blinder–Oaxaca decomposition for linear regression models. Stata Journal8: 453–479.
24.
LongJ. S.1997. Regression Models for Categorical and Limited Dependent Variables.Thousand Oaks, CA: Sage.
25.
LongJ. S., and FreeseJ.2006. Regression Models for Categorical Dependent Variables Using Stata. 2nd ed. College Station, TX: Stata Press.
26.
NeumarkD.1988. Employers’ discriminatory behavior and the estimation of wage discrimination. Journal of Human Resources23: 279–295.
27.
NielsenH. S.1998. Discrimination and detailed decomposition in a logit model. Economics Letters61: 115–120.
28.
OaxacaR.1973. Male–female wage differentials in urban labor markets. International Economic Review14: 693–709.
29.
OaxacaR. L., and RansomM. R.1988. Searching for the effect of unionism on the wages of union and nonunion workers. Journal of Labor Research9: 139–148.
30.
OaxacaR. L., and RansomM. R.1994. On discrimination and the decomposition of wage differentials. Journal of Econometrics61: 5–21.
31.
OaxacaR. L., and RansomM. R.1999. Identification in detailed wage decompositions. Review of Economics and Statistics81: 154–157.
32.
ParkT. A., and LohrL.2010. A Oaxaca–Blinder decomposition for count data models. Applied Economics Letters17: 451–455.
33.
PowersD. A., and YunM.-S.2009. Multivariate decomposition for hazard rate models. Sociological Methodology39: 233–263.
34.
PritchettJ. B., and YunM.-S.2009. The in-hospital mortality rates of slaves and freemen: Evidence from Touro Infirmary, New Orleans, Louisiana, 1855–1860. Explorations in Economic History46: 241–252.
35.
RaoC. R.1973. Linear Statistical Inference and Its Applications. 2nd ed. New York: Wiley.
36.
SinningM., HahnM., and BauerT. K.2008. The Blinder–Oaxaca decomposition for nonlinear regression models. Stata Journal8: 480–492.
37.
StrehlerB. L., and MildvanA. S.1960. General theory of mortality and aging. Science132: 14–21.
38.
SuitsD. B.1984. Dummy variables: Mechanics v. interpretation. Review of Economics and Statistics66: 177–180.
39.
VaupelJ. W., and YashinA. I.1985. The deviant dynamics of death in heterogeneous populations. Sociological Methodology15: 179–221.
40.
WinsboroughH. H., and DickinsonP.1971. Components of negro–white income differences. Proceedings of the American Statistical Association (Social Statistics Section): 6–8.
41.
YunM.-S.2004. Decomposing differences in the first moment. Economics Letters82: 275–280.
42.
YunM.-S.2005a. Hypothesis tests when decomposing differences in the first moment. Journal of Economic and Social Measurement30: 305–319.
43.
YunM.-S.2005b. A simple solution to the identification problem in detailed wage decompositions. Economic Inquiry43: 766–772. With Erratum, Economic Inquiry 44: 198.
44.
YunM.-S.2008. Identification problem and detailed Oaxaca decomposition: A general solution and inference. Journal of Economic and Social Measurement33: 27–38.
