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Small-sample properties of tests for heteroscedasticity in the conditional logit model


  • Arne Risa Hole


This paper compares the small-sample properties of several asymp- totically equivalent tests for heteroscedasticity in the conditional logit model. While no test outperforms the others in all of the experiments conducted, the likelihood ratio test and a particular variety of theWald test are found to have good properties in moderate samples as well as being relatively powerful.

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  • Arne Risa Hole, 2006. "Small-sample properties of tests for heteroscedasticity in the conditional logit model," Health, Econometrics and Data Group (HEDG) Working Papers 06/04, HEDG, c/o Department of Economics, University of York.
  • Handle: RePEc:yor:hectdg:06/04

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    1. DeShazo, J. R. & Fermo, German, 2002. "Designing Choice Sets for Stated Preference Methods: The Effects of Complexity on Choice Consistency," Journal of Environmental Economics and Management, Elsevier, vol. 44(1), pages 123-143, July.
    2. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    3. Louviere, Jordan J, 2001. "What If Consumer Experiments Impact Variances as Well as Means? Response Variability as a Behavioral Phenomenon," Journal of Consumer Research, Oxford University Press, vol. 28(3), pages 506-511, December.
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    More about this item


    conditional logit; heteroscedasticity;

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities


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