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A Monte Carlo study of tests for the independence of irrelevant alternatives property

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  • Fry, Tim R. L.
  • Harris, Mark N.

Abstract

A plethora of tests for the Independence of Irrelevant Alternatives (IIA) property of Logit models of discrete choice behavior has been proposed in the literature. These tests are based upon asymptotic arguments and little is known about their size and power properties in finite samples. This paper uses a Monte Carlo simulation study to investigate the size and power properties of six tests for IIA in the multinomial Logit model. Our results show that the majority of tests based upon partitioning the choice set appear to have very poor size and power properties in small samples. Tests for IIA based upon the DOGIT model, similarly have poor size properties, but in some circumstances do have reasonable power properties.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:transb:v:30:y:1996:i:1:p:19-30
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    2. J. M. C. Santos Silva, 2001. "A score test for non-nested hypotheses with applications to discrete data models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., pages 577-597.
    3. 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.
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    7. Burnett, J. Wesley, 2016. "Club convergence and clustering of U.S. energy-related CO2 emissions," Resource and Energy Economics, Elsevier, vol. 46(C), pages 62-84.
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    9. Curtis, John & McCoy, Daire & Aravena Novielli, Claudia, 2017. "Determinants of residential heating system choice: an analysis of Irish households," Papers WP576, Economic and Social Research Institute (ESRI).
    10. Bartolj, Tjaša & Polanec, Sašo, 2012. "College major choice and ability: Why is general ability not enough?," Economics of Education Review, Elsevier, pages 996-1016.
    11. Mokhtarian, Patricia L., 2016. "Presenting the Independence of Irrelevant Alternatives property in a first course on logit modeling," Journal of choice modelling, Elsevier, pages 25-29.
    12. Vijverberg, Wim P., 2011. "Testing for IIA with the Hausman-McFadden Test," IZA Discussion Papers 5826, Institute for the Study of Labor (IZA).
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    14. Xueyan Zhao & Mark Harris & Preety Ramful, 2004. "Alcohol Consumption in Australia: An Application of the Ordered Generalised Extreme Value Model," Econometric Society 2004 Australasian Meetings 301, Econometric Society.
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    17. Erik Stam & Roy Thurik & Peter van der Zwan, 2010. "Entrepreneurial exit in real and imagined markets," Industrial and Corporate Change, Oxford University Press, pages 1109-1139.
    18. Harris, M.N. & Zhao, X. & Zucchelli, E., 2016. "The dynamics of health and labour market transitions at older ages: evidence from a multi-state model," Health, Econometrics and Data Group (HEDG) Working Papers 16/30, HEDG, c/o Department of Economics, University of York.
    19. Vargas, Enver, 2012. "El impacto del gasto público sobre el proceso de migración interna: Evidencia empírica para el periodo 2002-2007," Revista Estudios Económicos, Banco Central de Reserva del Perú, issue 23, pages 67-81.

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