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    A Monte Carlo Study of Tests for the Independence of Irrelevant Alternatives Property

    Access Status
    In process
    Authors
    Fry, T.R.L.
    Harris, Mark
    Date
    1996
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Fry, T.R.L. and Harris, M.N. 1996. A Monte Carlo Study of Tests for the Independence of Irrelevant Alternatives Property. Transportation Research Part B: Methodological. 30 (1): pp. 19-30.
    Source Title
    Transportation Research Part B: Methodological
    DOI
    10.1016/0191-2615(95)00019-4
    ISSN
    0191-2615
    Faculty
    Faculty of Business and Law
    School
    School of Economics, Finance and Property
    URI
    http://hdl.handle.net/20.500.11937/81820
    Collection
    • Curtin Research Publications
    Abstract

    A plethora of tests for the Independence of Irrelevant Alternatives (HA) 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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