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Inverse probability weighted M-estimators for sample selection, attrition and stratification

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Jeffrey M. Wooldridge

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Abstract

I provide an overview of inverse probability weighted (IPW) M-estimators for cross section and two-period panel data applications. Under an ignorability assumption, I show that population parameters are identified, and provide straightforward vN-consistent and asymptotically normal estimation methods. I show that estimating a binary response selection model by conditional maximum likelihood leads to a more efficient estimator than using known probabilities, a result that unifies several disparate results in the literature. But IPW estimation is not a panacea: in some important cases of nonresponse, unweighted estimators will be consistent under weaker ignorability assumptions.

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Paper provided by Centre for Microdata Methods and Practice, Institute for Fiscal Studies in its series CeMMAP working papers with number CWP11/02.

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Length: 42 pp.
Date of creation: Mar 2002
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Handle: RePEc:ifs:cemmap:11/02

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Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. John Fitzgerald & Peter Gottschalk & Robert Moffit, 1999. "Sample Attrition in Panel Data: The Role of Selection on Observables," Annales d'Economie et de Statistique, ADRES, issue 55-56, pages 06, Juillet-D. [Downloadable!]
  2. Wooldridge, Jeffrey M., 2001. "Asymptotic Properties Of Weighted M-Estimators For Standard Stratified Samples," Econometric Theory, Cambridge University Press, vol. 17(02), pages 451-470, April. [Downloadable!]
  3. Horowitz, Joel L. & Manski, Charles F., 1998. "Censoring of outcomes and regressors due to survey nonresponse: Identification and estimation using weights and imputations," Journal of Econometrics, Elsevier, vol. 84(1), pages 37-58, May. [Downloadable!] (restricted)
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  4. James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 120-137 National Bureau of Economic Research, Inc. [Downloadable!]
  5. Guido Imbens, 2000. "Efficient Estimation of Average Treatment Effects Using the Estimated Propensity Score," Econometric Society World Congress 2000 Contributed Papers 1166, Econometric Society. [Downloadable!]
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  6. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Theory," Econometrica, Econometric Society, vol. 52(3), pages 681-700, May. [Downloadable!] (restricted)
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  7. Peter Gottschalk & John Fitzgerald & Robert Moffitt, 1997. "An Analysis of the Impact of Sample Attrition on the Second Generation of Respondents in the Michigan Panel Study of Income Dynamics," Boston College Working Papers in Economics 399, Boston College Department of Economics. [Downloadable!]
  8. Newey, Whitney K. & McFadden, Daniel, 1986. "Large sample estimation and hypothesis testing," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 36, pages 2111-2245 Elsevier. [Downloadable!] (restricted)
  9. Jeffrey M. Wooldridge, 1999. "Asymptotic Properties of Weighted M-Estimators for Variable Probability Samples," Econometrica, Econometric Society, vol. 67(6), pages 1385-1406, November.
  10. Leslie E. Papke & Jeffrey M. Wooldridge, 1993. "Econometric Methods for Fractional Response Variables with an Application to 401(k) Plan Participation Rates," NBER Technical Working Papers 0147, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  11. repec:att:wimass:199525 is not listed on IDEAS
  12. Richard Blundell & Monica Costa Dias, 2002. "Alternative approaches to evaluation in empirical microeconomics," CeMMAP working papers CWP10/02, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
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  13. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

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  2. Giovanni Forchini & Grant Hillier, 2005. "Ill-conditioned problems, Fisher information and weak instruments," CeMMAP working papers CWP04/05, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
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  4. Farshid Vahid & Pushkar Maitra, 2005. "The Effect of Household Characteristics on Living Standards in South Africa 1993 - 98: A Quantile Regression Analysis with Sample Attrition," ANUCBE School of Economics Working Papers 2005-452, Australian National University, College of Business and Economics, School of Economics. [Downloadable!]
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  5. Lechner, Michael, 2004. "Sequential Matching Estimation of Dynamic Causal Models," IZA Discussion Papers 1042, Institute for the Study of Labor (IZA). [Downloadable!]
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  6. Paul Contoyannis & Andrew M. Jones & Nigel Rice, 2004. "The dynamics of health in the British Household Panel Survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(4), pages 473-503. [Downloadable!]
  7. Teresa Bago d'Uva, 2005. "Latent class models for use of primary care: evidence from a British panel," Health Economics, John Wiley & Sons, Ltd., vol. 14(9), pages 873-892. [Downloadable!]
  8. Pierre Azoulay & Waverly Ding & Toby Stuart, 2006. "The Impact of Academic Patenting on the Rate, Quality, and Direction of (Public) Research Output," NBER Working Papers 11917, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  9. Philip DeCicca & Donald S. Kenkel & Alan D. Mathios, 2008. "Cigarette Taxes and the Transition from Youth to Adult Smoking: Smoking Initiation, Cessation, and Participation," NBER Working Papers 14042, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  10. Sergio Destefanis & Vania Sena, 2006. "Health, Capabilities and Functionings: An Empirical Analysis for the UK," CSEF Working Papers 151, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy. [Downloadable!]
  11. Antony Chapoto & T.S. Jayne, 2005. "Characteristics of Individuals Afflicted by AIDS-related Mortality in Zambia," International Development Collaborative Working Papers ZM-FSRP-WP-14, Department of Agricultural Economics, Michigan State University. [Downloadable!]
  12. Steven Lehrer & Weili Ding, 2004. "Estimating Dynamic Treatment Effects from Project STAR," Econometric Society 2004 North American Summer Meetings 252, Econometric Society. [Downloadable!]
  13. Inkmann, Joachim, 2005. "Inverse probability weighted generalised empirical likelihood estimators : firm size and R&D revisited," Discussion Paper 131, Tilburg University, Center for Economic Research. [Downloadable!]
  14. Markus Pannenberg, 2007. "Risk Aversion and Reservation Wages," IZA Discussion Papers 2806, Institute for the Study of Labor (IZA). [Downloadable!]
  15. Jeffrey M Wooldridge, 2002. "Simple solutions to the initial conditions problem in dynamic, nonlinear panel data models with unobserved heterogeneity," CeMMAP working papers CWP18/02, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
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  16. William Greene, 2006. "A General Approach to Incorporating Selectivity in a Model," Working Papers 06-10, New York University, Leonard N. Stern School of Business, Department of Economics. [Downloadable!]
  17. Laszlo Goerke & Markus Pannenberg, 2005. "Severance Pay and the Shadow of the Law: Evidence for West Germany," Discussion Papers of DIW Berlin 541, DIW Berlin, German Institute for Economic Research. [Downloadable!]
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