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Endogenous variables in non-linear models with mixed effects: Inconsistence under perfect identification conditions?

Author

Listed:
  • Franz Buscha

    (Westminster Business School, University of Westminster)

  • Anna Conte

    (Strategic Interaction Group, Max Planck Institute of Economics, Jena)

Abstract

This paper examines the consequences of introducing a normally distributed effect into a system where the dependent variable is ordered and the explanatory variable is ordered and endogenous. Using simulation techniques we show that a naïve bivariate ordered probit estimator which fails to take a mixed effect into account will result in inconsistent estimates even when identification conditions are optimal. Our results suggest this finding only applies to non-linear endogenous systems.

Suggested Citation

  • Franz Buscha & Anna Conte, 2013. "Endogenous variables in non-linear models with mixed effects: Inconsistence under perfect identification conditions?," Jena Economics Research Papers 2013-027, Friedrich-Schiller-University Jena.
  • Handle: RePEc:jrp:jrpwrp:2013-027
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    File URL: https://oweb.b67.uni-jena.de/Papers/jerp2013/wp_2013_027.pdf
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    More about this item

    Keywords

    bivariate probit; bivariate ordered probit; mixed effects; endogenous binary variables; constant parameters;
    All these keywords.

    JEL classification:

    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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