Counts with an endogenous binary regressor: A series expansion approach
AbstractWe propose an estimator for count data regression models where a binary regressor is endogenously determined. This estimator departs from previous approaches by using a flexible form for the conditional probability function of the counts. Using a Monte Carlo experiment we show that our estimator improves the fit and provides a more reliable estimate of the impact of regressors on the count when compared to alternatives which do restrict the mean to be linear-exponential. In an application to the number of trips by households in the United States, we find that the estimate of the treatment effect obtained is considerably different from the one obtained under a linear-exponential mean specification. Copyright 2005 Royal Economic Society
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Bibliographic InfoArticle provided by Royal Economic Society in its journal The Econometrics Journal.
Volume (Year): 8 (2005)
Issue (Month): 1 (03)
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Other versions of this item:
- Andrés Romeu & Marcos Vera-Hernández, 2004. "Counts With An Endogenous Binary Regressor: A Series Expansion Approach," Working Papers. Serie AD 2004-36, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
- C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
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- Willard G. Manning & John Mullahy, 1999.
"Estimating Log Models: To Transform or Not to Transform?,"
NBER Technical Working Papers
0246, National Bureau of Economic Research, Inc.
- Manning, Willard G. & Mullahy, John, 2001. "Estimating log models: to transform or not to transform?," Journal of Health Economics, Elsevier, vol. 20(4), pages 461-494, July.
- Andrews, Donald W. K., 1988. "Chi-square diagnostic tests for econometric models : Introduction and applications," Journal of Econometrics, Elsevier, vol. 37(1), pages 135-156, January.
- Coulson, N Edward, et al, 1995.
"Estimating the Moral-Hazard Effect of Supplemental Medical Insurance in the Demand for Prescription Drugs by the Elderly,"
American Economic Review,
American Economic Association, vol. 85(2), pages 122-26, May.
- Coulson, N.E. & Terza, J. & Neslusan, C.A. & Stuart, B., 1995. "Estimating the Moral Hazard Effect of Supplemental Medical Insurance in the Demand for Prescription Drugs by the Elderly," Papers 04-95-01, Pennsylvania State - Department of Economics.
- Cameron, A Colin & Johansson, Per, 1997. "Count Data Regression Using Series Expansions: With Applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 203-23, May-June.
- Goffe, William L. & Ferrier, Gary D. & Rogers, John, 1994. "Global optimization of statistical functions with simulated annealing," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 65-99.
- Gurmu, Shiferaw & Rilstone, Paul & Stern, Steven, 1998. "Semiparametric estimation of count regression models1," Journal of Econometrics, Elsevier, vol. 88(1), pages 123-150, November.
- Gurmu, Shiferaw & Trivedi, Pravin K, 1996. "Excess Zeros in Count Models for Recreational Trips," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 469-77, October.
- Gallant, A. Ronald & Tauchen, George, 1997.
"Estimation Of Continuous-Time Models For Stock Returns And Interest Rates,"
Cambridge University Press, vol. 1(01), pages 135-168, January.
- Tauchen, George E. & Gallant, A. Ronald, 1995. "Estimation of Continuous Time Models for Stock Returns and Interest Rates," Working Papers 95-53, Duke University, Department of Economics.
- Frank Windmeijer & Joao Santos Silva, 1996.
"Endogeneity in count data models; an application to demand for health care,"
IFS Working Papers
W96/15, Institute for Fiscal Studies.
- Windmeijer, F A G & Silva, J M C Santos, 1997. "Endogeneity in Count Data Models: An Application to Demand for Health Care," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 281-94, May-June.
- John Mullahy, 1997. "Instrumental-Variable Estimation Of Count Data Models: Applications To Models Of Cigarette Smoking Behavior," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 586-593, November.
- Winfried Pohlmeier & Volker Ulrich, 1995. "An Econometric Model of the Two-Part Decisionmaking Process in the Demand for Health Care," Journal of Human Resources, University of Wisconsin Press, vol. 30(2), pages 339-361.
- Martin Schellhorn, 2001. "The effect of variable health insurance deductibles on the demand for physician visits," Health Economics, John Wiley & Sons, Ltd., vol. 10(5), pages 441-456.
- Terza, Joseph V & Wilson, Paul W, 1990. "Analyzing Frequencies of Several Types of Events: A Mixed Multinomial-Poisson Approach," The Review of Economics and Statistics, MIT Press, vol. 72(1), pages 108-15, February.
- Francis Vella, 1998. "Estimating Models with Sample Selection Bias: A Survey," Journal of Human Resources, University of Wisconsin Press, vol. 33(1), pages 127-169.
- Munkin, Murat K. & Trivedi, Pravin K., 2003. "Bayesian analysis of a self-selection model with multiple outcomes using simulation-based estimation: an application to the demand for healthcare," Journal of Econometrics, Elsevier, vol. 114(2), pages 197-220, June.
- Terza, Joseph V., 1998. "Estimating count data models with endogenous switching: Sample selection and endogenous treatment effects," Journal of Econometrics, Elsevier, vol. 84(1), pages 129-154, May.
- Deb, Partha & Trivedi, Pravin K, 1997. "Demand for Medical Care by the Elderly: A Finite Mixture Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 313-36, May-June.
- �ngel Marcos Vera-Hernández, 1999. "Duplicate coverage and demand for health care. The case of Catalonia," Health Economics, John Wiley & Sons, Ltd., vol. 8(7), pages 579-598.
- Donald S. Kenkel & Joseph V. Terza, 2001. "The effect of physician advice on alcohol consumption: count regression with an endogenous treatment effect," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(2), pages 165-184.
- Burda, Martin & Harding, Matthew & Hausman, Jerry, 2012. "A Poisson mixture model of discrete choice," Journal of Econometrics, Elsevier, vol. 166(2), pages 184-203.
- Matilde P. Machado, & Ricardo Mora & Antonio Romero- Medina, 2006. "A Methodology To Measure Hospital Quality Using Physicians' Choices Over Training Vacancies," Economics Working Papers we060201, Universidad Carlos III, Departamento de Economía.
- Paulo Arvate & Vladimir Ponczek, 2008. "Municipality secession, voter’s preference and persistence of power," Working Papers 08_07, Universidade de São Paulo, Faculdade de Economia, Administração e Contabilidade de Ribeirão Preto.
- repec:ebl:ecbull:v:3:y:2008:i:42:p:1-13 is not listed on IDEAS
- Hiroaki Masuhara, 2008. "Semi-nonparametric count data estimation with an endogenous binary variable," Economics Bulletin, AccessEcon, vol. 3(42), pages 1-13.
- Toni Mora, 2008. "The relevance of satisfaction with coverage for health care utilization: evidence from Catalonia," Hacienda Pública Española, IEF, vol. 184(1), pages 99-116, April.
- Kevin E. Staub, 2009. "Simple tests for exogeneity of a binary explanatory variable in count data regression models," SOI - Working Papers 0904, Socioeconomic Institute - University of Zurich.
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