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A potential solution to problems in ordered choice models involving endogenous ordinal variables for self-reported questions

Author

Listed:
  • HASAN, HAMID
  • Rehman, Attiqur

Abstract

Most of the surveys in social sciences generally consist of ordinal variables. Sometimes researchers need to model behaviour of ordinal variables in simultaneous equation system involving many endogenous ordinal variables. This situation leads to a very complex likelihood function which is extremely hard to solve. The solutions suggested in the literature are even harder to understand by applied researchers. The present study suggests a simulation method to avoid this problem altogether by converting ordinal variables into continuous variables and use standard simultaneous regression models. The proposed method involves generating random numbers from continuous probability distributions (uniform and truncated normal distributions) within a discrete probability distribution. This method can be fruitfully be used in ordered logit and probit models. The limitations of this method are also discussed.

Suggested Citation

  • HASAN, HAMID & Rehman, Attiqur, 2013. "A potential solution to problems in ordered choice models involving endogenous ordinal variables for self-reported questions," MPRA Paper 44908, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:44908
    as

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    File URL: https://mpra.ub.uni-muenchen.de/44908/1/MPRA_paper_44908.pdf
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    References listed on IDEAS

    as
    1. Heckman, James J, 1978. "Dummy Endogenous Variables in a Simultaneous Equation System," Econometrica, Econometric Society, vol. 46(4), pages 931-959, July.
    2. J. Scott Long & Jeremy Freese, 2006. "Regression Models for Categorical Dependent Variables using Stata, 2nd Edition," Stata Press books, StataCorp LLC, edition 2, number long2, January.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Endogenous Ordinal variables; Simultaneous Equation System; Ordered Logit; Ordered Probit.;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics

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