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    Testing for independence of irrelevant alternatives some empirical results

    Access Status
    Fulltext not available
    Authors
    Fry, T.R.L.
    Harris, Mark
    Date
    1998
    Type
    Journal Article
    
    Metadata
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    Citation
    Fry, T.R.L. and Harris, M.N. 1998. Testing for independence of irrelevant alternatives some empirical results. Sociological Methods and Research. 26 (3): pp. 401-423.
    Source Title
    Sociological Methods and Research
    DOI
    10.1177/0049124198026003005
    ISSN
    0049-1241
    Faculty
    Faculty of Business and Law
    School
    School of Economics, Finance and Property
    URI
    http://hdl.handle.net/20.500.11937/81825
    Collection
    • Curtin Research Publications
    Abstract

    In a recent article, Zhang and Hoffman discuss the use of discrete choice logit models in sociological research. In the present article, the authors estimate a multinomial logit model of U.K. Magistrates Courts sentencing using a data set collected by the National Association for the Care and Resettlement of Offenders (NACRO) and test the independence of irrelevant alternatives (IIA) property using six tests. Conducting the tests with the appropriate large sample critical values, the authors find that the acceptance or rejection of IIA depends both on which test and which variant of a given test is used. The authors then use simulation techniques to assess the size and power performance of the tests. The empirical example is revisited with the inferences performed using empirical critical values obtained by simulation, and the resultant inferences are compared. The results show that empirical workers should exercise caution when testing for IIA.

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