IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

Testing exogeneity of multinomial regressors in count data models: does two stage residual inclusion work?

  • A. Geraci
  • D. Fabbri
  • C. Monfardini

We study a simple exogeneity test in count data models with possibly endogenous multinomial treatment. The test is based on Two Stage Residual Inclusion (2SRI). Results from a broad Monte Carlo study provide novel evidence on important features of this approach in nonlinear settings. We find differences in the finite sample performance of various likelihood-based tests under correct specification and when the outcome equation is misspecified due to neglected over-dispersion or non-linearity. We compare alternative 2SRI procedures and uncover that standardizing the variance of the first stage residuals leads to higher power of the test and reduces the bias of the treatment coefficients. An original application in health economics corroborates our findings.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www2.dse.unibo.it/wp/WP921.pdf
Download Restriction: no

Paper provided by Dipartimento Scienze Economiche, Universita' di Bologna in its series Working Papers with number wp921.

as
in new window

Length:
Date of creation: Jan 2014
Date of revision:
Handle: RePEc:bol:bodewp:wp921
Contact details of provider: Postal: Piazza Scaravilli, 2, and Strada Maggiore, 45, 40125 Bologna
Phone: +39 051 209 8019 and 2600
Fax: +39 051 209 8040 and 2664
Web page: http://www.dse.unibo.it

More information through EDIRC

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.:

as in new window
  1. David Zimmer, 2010. "Health Insurance and Health Care Demand Among the Self-employed," Journal of Labor Research, Springer, vol. 31(1), pages 1-19, March.
  2. Cameron, A.C. & Windmeijer, F.A.G., 1993. "R-Squared Measures for Count Data Regression Models with Applications to Health Care Utilization," Papers 93-24, California Davis - Institute of Governmental Affairs.
  3. Alfonso Miranda & Massimiliano Bratti, 2011. "Endogenous treatment effects for count data models with endogenous participation or sample selection," United Kingdom Stata Users' Group Meetings 2011 10, Stata Users Group.
  4. Terence Chai Cheng & Farshid Vahid, 2011. "Demand for Hospital Care and Private Health Insurance in a Mixed Public–Private System: Empirical Evidence Using a Simultaneous Equation Modeling Approach," Melbourne Institute Working Paper Series wp2011n22, Melbourne Institute of Applied Economic and Social Research, The University of Melbourne.
  5. 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 S29-59, Supplemen.
  6. D. Fabbri ; & C. Monfardini ;, 2011. "Opt Out Or Top Up? Voluntary Healthcare Insurance And The Public Vs. Private Substitution," Health, Econometrics and Data Group (HEDG) Working Papers 11/28, HEDG, c/o Department of Economics, University of York.
  7. 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.
  8. 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.
  9. Hendry, David F., 1984. "Monte carlo experimentation in econometrics," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 16, pages 937-976 Elsevier.
  10. Lorenzo Cappellari & Stephen P. Jenkins, 2006. "Calculation of Multivariate Normal Probabilities by Simulation, with Applications to Maximum Simulated Likelihood Estimation," Discussion Papers of DIW Berlin 584, DIW Berlin, German Institute for Economic Research.
  11. Ettner, Susan L., 1997. "Adverse selection and the purchase of Medigap insurance by the elderly," Journal of Health Economics, Elsevier, vol. 16(5), pages 543-562, October.
  12. Daniele Fabbri & Chiara Monfardini, 2006. "Rationing the Public Provision of Health Care in the Presence of Private Supplements: Evidence from the Italian NHS," Health, Econometrics and Data Group (HEDG) Working Papers 06/14, HEDG, c/o Department of Economics, University of York.
  13. Bhat, Chandra R., 2001. "Quasi-random maximum simulated likelihood estimation of the mixed multinomial logit model," Transportation Research Part B: Methodological, Elsevier, vol. 35(7), pages 677-693, August.
  14. 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.
  15. Alfonso Miranda Caso Luengo, 2003. "FIML estimation of an endogenous switching model for count data," United Kingdom Stata Users' Group Meetings 2003 07, Stata Users Group.
  16. Partha Deb & Pravin K. Trivedi, 2006. "Specification and simulated likelihood estimation of a non-normal treatment-outcome model with selection: Application to health care utilization," Econometrics Journal, Royal Economic Society, vol. 9(2), pages 307-331, 07.
  17. Michel Grignon & Marc Perronnin & John N. Lavis, 2008. "Does free complementary health insurance help the poor to access health care? Evidence from France," Health Economics, John Wiley & Sons, Ltd., vol. 17(2), pages 203-219.
  18. 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.
  19. Arne Risa Hole, 2006. "Calculating Murphy-Topel variance estimates in Stata: A simplified procedure," Stata Journal, StataCorp LP, vol. 6(4), pages 521-529, December.
  20. Jason Abrevaya & Jerry A. Hausman & Shakeeb Khan, 2010. "Testing for Causal Effects in a Generalized Regression Model With Endogenous Regressors," Econometrica, Econometric Society, vol. 78(6), pages 2043-2061, November.
  21. van Ophem, Hans, 2000. "Modeling Selectivity in Count-Data Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(4), pages 503-11, October.
  22. 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.
  23. Terza, Joseph V. & Basu, Anirban & Rathouz, Paul J., 2008. "Two-stage residual inclusion estimation: Addressing endogeneity in health econometric modeling," Journal of Health Economics, Elsevier, vol. 27(3), pages 531-543, May.
  24. Kapetanios, George, 2010. "Testing For Exogeneity In Threshold Models," Econometric Theory, Cambridge University Press, vol. 26(01), pages 231-259, February.
  25. Teresa Bago d'Uva & Maarten Lindeboom & Owen O'Donnell & Eddy van Doorslaer, 2011. "Education‐related inequity in healthcare with heterogeneous reporting of health," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 174(3), pages 639-664, 07.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:bol:bodewp:wp921. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Luca Miselli)

The email address of this maintainer does not seem to be valid anymore. Please ask Luca Miselli to update the entry or send us the correct address

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.