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Correcting for Truncation Bias Caused by a Latent Truncation Variable

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  • David E. Bloom
  • Mark R. Killingsworth

Abstract

We discuss estimation of the model Y[sub i] = X[sub i]b[sub y] + e[sub Yi] and T[sub i] =X[sub i]b[sub T] + e[sub Ti] when data on the continuous dependent variable Y and on the independent variables X are observed if the "truncation variable" T > 0 and when T is latent. This case is distinct from both (i) the "censored sample" case, in which Y data are available if T > 0, T is latent and X data are available for all observations, and (ii) the "observed truncation variable" case, in which both Y and X are observed if T > 0 and in which the actual value of T is observed whenever T > O. We derive a maximum-likelihood procedure for estimating this model and discuss identification and estimation.

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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0038.

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Date of creation: Jun 1984
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Publication status: published as Bloom, David E. and Mark R. Killingsworth. "Correcting for Truncation Bias Caused by a Latent Truncation Variable." Journal of Econometrics, Vol. 27 , No. 1, January 1985, pp.131-135.
Handle: RePEc:nbr:nberte:0038

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  1. Amemiya, Takeshi, 1973. "Regression Analysis when the Dependent Variable is Truncated Normal," Econometrica, Econometric Society, vol. 41(6), pages 997-1016, November.
  2. Heckman, James J, 1979. "Sample Selection Bias as a Specification Error," Econometrica, Econometric Society, vol. 47(1), pages 153-61, January.
  3. Wales, T J & Woodland, A D, 1980. "Sample Selectivity and the Estimation of Labor Supply Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(2), pages 437-68, June.
  4. Jerry A. Hausman & David A. Wise, 1976. "The Evaluation of Results from Truncated Samples: The New Jersey Income Maintenance Experiment," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 421-445 National Bureau of Economic Research, Inc.
  5. Olsen, Randall J, 1982. "Distributional Tests for Selectivity Bias and a More Robust Likelihood Estimator," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(1), pages 223-40, February.
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Cited by:
  1. Pagan, Adrian, 1986. "Two Stage and Related Estimators and Their Applications," Review of Economic Studies, Wiley Blackwell, vol. 53(4), pages 517-38, August.
  2. Julie L. Hotchkiss & David L. Sjoquist & Stephanie M. Zobay, 1999. "Employment Impact of Inner-city Development Projects: The Case of Underground Atlanta," Urban Studies, Urban Studies Journal Limited, vol. 36(7), pages 1079-1093, June.
  3. Mata, Jose, 1996. "Markets, entrepreneurs and the size of new firms," Economics Letters, Elsevier, vol. 52(1), pages 89-94, July.
  4. Daskalopoulou, Irene, 2008. "Fairness perceptions and observed consumer behavior: Results of a partial observability model," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 37(1), pages 31-44, February.
  5. Kounetas, Kostas & Tsekouras, Kostas, 2008. "The energy efficiency paradox revisited through a partial observability approach," Energy Economics, Elsevier, vol. 30(5), pages 2517-2536, September.
  6. Alberto Palloni & Jason Thomas, 2013. "Estimation of Covariate Effects With Current Status Data and Differential Mortality," Demography, Springer, vol. 50(2), pages 521-544, April.
  7. Kostas Tsekouras & Dimitris Skuras & Irene Daskalopoulou, 2008. "The role of productive efficiency on entry and post-entry performance under different strategic orientation: the case of the Greek plastics and rubber industry," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 29(1), pages 37-55.
  8. Colombo, Massimo G. & Grilli, Luca, 2005. "Start-up size: The role of external financing," Economics Letters, Elsevier, vol. 88(2), pages 243-250, August.
  9. Colombo, Massimo G. & Delmastro, Marco & Grilli, Luca, 2004. "Entrepreneurs' human capital and the start-up size of new technology-based firms," International Journal of Industrial Organization, Elsevier, vol. 22(8-9), pages 1183-1211, November.

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