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Testing exogeneity in the bivariate probit model: Monte Carlo evidence and an application to health economics

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  • D. Fabbri
  • C. Monfardini
  • R. Radice

Abstract

Many economic applications involve the modeling of a binary variable as simultaneously determined with one of its dycotomous regressors. In this paper we deal with a prominent health economics case study, that of cesarean section delivery utilization across public and private hospitals. Estimating the probability of cesarean section in a univariate framework neglecting the potential endogeneity of the hospital type dummy might lead to invalid inference. Since little is known about the exact sampling properties of alternative statistics for testing exogeneity of a dycotomous regressor in probit models, we conduct an extensive Monte Carlo experiment. Equipped with the simulation results we apply a comprehensive battery of tests to an Italian sample of women and find clear evidence against exogeneity of the hospital type dummy. We speculate on the economic implications of these results and discuss the misleading interpretation arising from the adoption of either univariate probit model or seemingly unrelated bivariate probit model.

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  • D. Fabbri & C. Monfardini & R. Radice, 2004. "Testing exogeneity in the bivariate probit model: Monte Carlo evidence and an application to health economics," Working Papers 514, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:514
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    1. Smith, Richard J & Blundell, Richard W, 1986. "An Exogeneity Test for a Simultaneous Equation Tobit Model with an Application to Labor Supply," Econometrica, Econometric Society, vol. 54(3), pages 679-685, May.
    2. Holly, Alberto & Gardiol, Lucien & Domenighetti, Gianfranco & Brigitte Bisig, 1998. "An econometric model of health care utilization and health insurance in Switzerland," European Economic Review, Elsevier, vol. 42(3-5), pages 513-522, May.
    3. Davidson, Russell & MacKinnon, James G., 1984. "Convenient specification tests for logit and probit models," Journal of Econometrics, Elsevier, vol. 25(3), pages 241-262, July.
    4. Kooreman, Peter, 1994. "Estimation of Econometric Models of Some Discrete Games," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(3), pages 255-268, July-Sept.
    5. Derek Deadman & Ziggy MacDonald, 2004. "Offenders as victims of crime?: an investigation into the relationship between criminal behaviour and victimization," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 167(1), pages 53-67, February.
    6. Cromwell, Jerry & Mitchell, Janet B., 1986. "Physician-induced demand for surgery," Journal of Health Economics, Elsevier, vol. 5(4), pages 293-313, December.
    7. Chesher, Andrew & Irish, Margaret, 1987. "Residual analysis in the grouped and censored normal linear model," Journal of Econometrics, Elsevier, vol. 34(1-2), pages 33-61.
    8. Alex Bryson & Lorenzo Cappellari & Claudio Lucifora, 2004. "Does Union Membership Really Reduce Job Satisfaction?," British Journal of Industrial Relations, London School of Economics, vol. 42(3), pages 439-459, September.
    9. Davidson, Russell & MacKinnon, James G., 1989. "Testing for Consistency using Artificial Regressions," Econometric Theory, Cambridge University Press, vol. 5(3), pages 363-384, December.
    10. McGuire, Thomas G., 2000. "Physician agency," Handbook of Health Economics, in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 9, pages 461-536, Elsevier.
    11. Thomas C. Buchmueller & Agnès Couffinhal & Michel Grignon & Marc Perronnin, 2004. "Access to physician services: does supplemental insurance matter? Evidence from France," Health Economics, John Wiley & Sons, Ltd., vol. 13(7), pages 669-687, July.
    12. Jonathan Gruber & Maria Owings, 1996. "Physician Financial Incentives and Cesarean Section Delivery," RAND Journal of Economics, The RAND Corporation, vol. 27(1), pages 99-123, Spring.
    13. Heckman, James J, 1978. "Dummy Endogenous Variables in a Simultaneous Equation System," Econometrica, Econometric Society, vol. 46(4), pages 931-959, July.
    14. John Geweke & Gautam Gowrisankaran & Robert J. Town, 2003. "Bayesian Inference for Hospital Quality in a Selection Model," Econometrica, Econometric Society, vol. 71(4), pages 1215-1238, July.
    15. Stephen Pudney & Michael Shields, 2000. "Gender, race, pay and promotion in the British nursing profession: estimation of a generalized ordered probit model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(4), pages 367-399.
    16. Skeels, Christopher L. & Vella, Francis, 1999. "A Monte Carlo investigation of the sampling behavior of conditional moment tests in Tobit and Probit models," Journal of Econometrics, Elsevier, vol. 92(2), pages 275-294, October.
    17. Dubay, Lisa & Kaestner, Robert & Waidmann, Timothy, 1999. "The impact of malpractice fears on cesarean section rates," Journal of Health Economics, Elsevier, vol. 18(4), pages 491-522, August.
    18. Tauchen, George, 1985. "Diagnostic testing and evaluation of maximum likelihood models," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 415-443.
    19. Rivers, Douglas & Vuong, Quang H., 1988. "Limited information estimators and exogeneity tests for simultaneous probit models," Journal of Econometrics, Elsevier, vol. 39(3), pages 347-366, November.
    20. Wilde, Joachim, 2000. "Identification of multiple equation probit models with endogenous dummy regressors," Economics Letters, Elsevier, vol. 69(3), pages 309-312, December.
    21. Newey, Whitney K, 1985. "Maximum Likelihood Specification Testing and Conditional Moment Tests," Econometrica, Econometric Society, vol. 53(5), pages 1047-1070, September.
    22. D. Fabbri & C. Monfardini, 2001. "Demand Induction with a Discrete Distribution of Patients," Working Papers 414, Dipartimento Scienze Economiche, Universita' di Bologna.
    23. Pagan, Adrian & Vella, Frank, 1989. "Diagnostic Tests for Models Based on Individual Data: A Survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(S), pages 29-59, Supplemen.
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    Cited by:

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    2. Claire Dujardin & Florence Goffette-Nagot, 2005. "Neighborhood effects, public housing and unemployment in France," Post-Print halshs-00180046, HAL.
    3. Udo Schneider & Volker Ulrich, 2007. "Health Relevant Behavior and its Impact on the Physician-Patient Relationship," Working Papers 023, Bavarian Graduate Program in Economics (BGPE).
    4. Susmita Dasgupta & Craig Meisner & Mainul Huq, 2007. "A Pinch or a Pint? Evidence of Pesticide Overuse in Bangladesh," Journal of Agricultural Economics, Wiley Blackwell, vol. 58(1), pages 91-114, February.
    5. Udo Schneider & Volker Ulrich, 2008. "The physician-patient relationship revisited: the patient’s view," International Journal of Health Economics and Management, Springer, vol. 8(4), pages 279-300, December.
    6. Balia, Silvia & Jones, Andrew M., 2008. "Mortality, lifestyle and socio-economic status," Journal of Health Economics, Elsevier, vol. 27(1), pages 1-26, January.
    7. Guillaume Blache, 2011. "Active Labour Market Policies in Denmark : A Comparative Analysis of Post-Program Effects," Post-Print halshs-00654181, HAL.
    8. Julide Yildirim & Nebile Korucu & Semsettin Karasu, 2010. "Further Education Or Re-Enlistment Decision In Turkish Armed Forces: A Seemingly Unrelated Probit Analysis," Defence and Peace Economics, Taylor & Francis Journals, vol. 21(1), pages 89-103.
    9. Dias, Daniel A. & Marques, Carlos Robalo & Martins, Fernando, 2013. "Wage rigidity and employment adjustment at the firm level: Evidence from survey data," Labour Economics, Elsevier, vol. 23(C), pages 40-49.
    10. Guillaume Blache, 2011. "Active Labour Market Policies in Denmark : A Comparative Analysis of Post-Program Effects," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00654181, HAL.
    11. Sergi Jimenez & Natalia Jorgensen & José María Labeaga, 2008. "Immigration and the Demand for Health in Spain," Working Papers 2008-38, FEDEA.
    12. Barone, Adriana & O'Higgins, Niall, 2010. "Fat and out in Salerno and its province: Adolescent obesity and early school leaving in Southern Italy," Economics & Human Biology, Elsevier, vol. 8(1), pages 44-57, March.
    13. Noureddine Benlagha & Imen Karaa, 2017. "Evidence of adverse selection in automobile insurance market: A seemingly unrelated probit modelling," Cogent Economics & Finance, Taylor & Francis Journals, vol. 5(1), pages 1330303-133, January.
    14. Frederique Savignac, 2008. "Impact Of Financial Constraints On Innovation: What Can Be Learned From A Direct Measure?," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 17(6), pages 553-569.
    15. Guillaume Blache, 2011. "Active labour market policies in Denmark: A comparative analysis of post-program effects," Documents de travail du Centre d'Economie de la Sorbonne 11071, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    16. Patricia Triunfo & Máximo Rossi, 2009. "The effect of physicians’ remuneration system on the Caesarean section rate: the Uruguayan case," International Journal of Health Economics and Management, Springer, vol. 9(4), pages 333-345, December.
    17. Georgios P. Kouretas & Mark E. Wohar, 2012. "The dynamics of inflation: a study of a large number of countries," Applied Economics, Taylor & Francis Journals, vol. 44(16), pages 2001-2026, June.
    18. Jonathan Beck, 2004. "Fixed, Focal, Fair? Book Prices Under Optional Resale Price Maintenance," CIG Working Papers SP II 2004-15, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
    19. Dasgupta, Susmita & Meisner, Craig & Huq, Mainul, 2005. "Health effects and pesticide perception as determinants of pesticide use : evidence from Bangladesh," Policy Research Working Paper Series 3776, The World Bank.
    20. William Greene, 2007. "Discrete Choice Modeling," Working Papers 07-6, New York University, Leonard N. Stern School of Business, Department of Economics.
    21. Joan Costa Font & Joan Gil Trasfi, 2005. "Obesity and the Incidence of Chronic Diseases: a Seemingly Unrelated Probit Approach," Working Papers in Economics 137, Universitat de Barcelona. Espai de Recerca en Economia.
    22. Zulkefli, Zurina & jones, Glenn, 2012. "Moral Hazard and the Impact of Private Health Insurance on the Utilisation of Health Care in Malaysia," Jurnal Ekonomi Malaysia, Faculty of Economics and Business, Universiti Kebangsaan Malaysia, vol. 46(2), pages 159-175.
    23. Tebkieta Alexandra Tapsoba, 2022. "Remittances and households' livelihood in the context of Covid‐19: Evidence from Burkina Faso," Journal of International Development, John Wiley & Sons, Ltd., vol. 34(4), pages 737-753, May.
    24. Arrieta, Alejandro, 2011. "Health reform and cesarean sections in the private sector: The experience of Peru," Health Policy, Elsevier, vol. 99(2), pages 124-130, February.

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