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

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Author Info
Fry, Tim R. L.
Harris, Mark N.

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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.

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Publisher Info
Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

Volume (Year): 30 (1996)
Issue (Month): 1 (February)
Pages: 19-30
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Handle: RePEc:eee:transb:v:30:y:1996:i:1:p:19-30

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  1. 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. [Downloadable!]
  2. Patricia Mokhtarian & Michael Bagley, 2000. "Modeling Employees' Perceptions and Proportional Preferences of Work Locations: The Regular Workplace and Telecommuting Alternatives," Institute of Transportation Studies, Working Paper Series UCD-ITS-REP-00-03, Institute of Transportation Studies, UC Davis. [Downloadable!]
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  3. 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., vol. 16(5), pages 577-597. [Downloadable!]
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  4. Sarah Brown & Lisa Farrell & Mark N. Harris & John G. Sessions, 2002. "Risk Preference And Employment Contract Type," Department of Economics - Working Papers Series 845, The University of Melbourne. [Downloadable!]
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