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Joint Specification Tests For Response Probabilities In Unordered Multinomial Choice Models

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  • Masamune Iwasawa

    (Graduate School of Economics, Kyoto University, Research Fellow of Japan Society for the Promotion of Science)

Abstract

Estimation results obtained by parametric models may be seriously misleading when the model is misspecified or poorly approximates the true model. This study proposes two tests that jointly test the specifications of multiple response probabilities in unordered multino- mial choice models. Both test statistics are asymptotically chi-square distributed, consistent against a fixed alternative, and able to detect a local alternative approaching to the null at a rate slower than the parametric rate. We show that rejection regions can be calculated by a simple parametric bootstrap procedure, when the sample size is small. The size and power of the tests are investigated by Monte Carlo experiments.

Suggested Citation

  • Masamune Iwasawa, 2015. "Joint Specification Tests For Response Probabilities In Unordered Multinomial Choice Models," KIER Working Papers 919, Kyoto University, Institute of Economic Research.
    • Handle: RePEc:kyo:wpaper:919
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    • B23 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Econometrics; Quantitative and Mathematical Studies
    • C - Mathematical and Quantitative Methods
    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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