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Testing for IIA in the Multinomial Logit Model

Author

Listed:
  • Simon Cheng

    (University of Connecticut, Storrs, simon.cheng@uconn.edu)

  • J. Scott Long

    (Indiana University, Bloomington)

Abstract

The multinomial logit model is perhaps the most commonly used regression model for nominal outcomes in the social sciences. A concern raised by many researchers, however, is the assumption of the independence of irrelevant alternatives (IIA) that is implicit in the model. In this article, the authors undertake a series of Monte Carlo simulations to evaluate the three most commonly discussed tests of IIA. Results suggest that the size properties of the most common IIA tests depend on the data structure for the independent variables. These findings are consistent with an earlier impression that, even in well-specified models, IIA tests often reject the assumption when the alternatives seem distinct and often fail to reject IIA when the alternatives can reasonably be viewed as close substitutes. The authors conclude that tests of the IIA assumption that are based on the estimation of a restricted choice set are unsatisfactory for applied work.

Suggested Citation

  • Simon Cheng & J. Scott Long, 2007. "Testing for IIA in the Multinomial Logit Model," Sociological Methods & Research, , vol. 35(4), pages 583-600, May.
    • Handle: RePEc:sae:somere:v:35:y:2007:i:4:p:583-600
    DOI: 10.1177/0049124106292361
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    References listed on IDEAS

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    1. Eric Pels & Peter Nijkamp & Piet Rietveld, 2001. "Airport and Airline Choice in a Multiple Airport Region: An Empirical Analysis for the San Francisco Bay Area," Regional Studies, Taylor & Francis Journals, vol. 35(1), pages 1-9.
    2. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 38(2), pages 112-134.
    3. Hausman, Jerry & McFadden, Daniel, 1984. "Specification Tests for the Multinomial Logit Model," Econometrica, Econometric Society, vol. 52(5), pages 1219-1240, September.
    4. Small, Kenneth A & Hsiao, Cheng, 1985. "Multinomial Logit Specification Tests," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 619-627, October.
    5. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555.
    6. Mokhtarian, Patricia L. & Bagley, Michael N., 2000. "Modeling employees' perceptions and proportional preferences of work locations: the regular workplace and telecommuting alternatives," Transportation Research Part A: Policy and Practice, Elsevier, vol. 34(4), pages 223-242, May.
    7. Keane, Michael P, 1992. "A Note on Identification in the Multinomial Probit Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(2), pages 193-200, April.
    8. Amemiya, Takeshi, 1981. "Qualitative Response Models: A Survey," Journal of Economic Literature, American Economic Association, vol. 19(4), pages 1483-1536, December.
    9. Fry, Tim R. L. & Harris, Mark N., 1996. "A Monte Carlo study of tests for the independence of irrelevant alternatives property," Transportation Research Part B: Methodological, Elsevier, vol. 30(1), pages 19-30, February.
    10. Junsen Zhang & Saul D. Hoffman, 1993. "Discrete-Choice Logit Models," Sociological Methods & Research, , vol. 22(2), pages 193-213, November.
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