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Endogeneity in a Binomial Model

Author

Listed:
  • Brännäs, Kurt

    (Department of Economics, Umeå University)

  • Eriksson, Maria

    (Department of Economics, Umeå University)

Abstract

A characterization of endogeneity in the binomial regression model is given. The relationship to a model subject to selection is indicated. Maximum likelihood and nonlinear instrumental variable estimators are obtained and evaluated in a Monte Carlo study. A new LM test and a Hausman test against endogeneity are also evaluated. Maximum likelihood estimation based on an instrumental variable and the LM test are found to perform well. An illustration based on choice set sizes for Swedish unemployed is included.

Suggested Citation

  • Brännäs, Kurt & Eriksson, Maria, 1997. "Endogeneity in a Binomial Model," Umeå Economic Studies 440, Umeå University, Department of Economics.
    • Handle: RePEc:hhs:umnees:0440
    as

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    References listed on IDEAS

    as
    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
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    3. Even, William E., 1988. "Testing exogeneity in a probit model," Economics Letters, Elsevier, vol. 26(2), pages 125-128.
    4. Amemiya, Takeshi, 1974. "The nonlinear two-stage least-squares estimator," Journal of Econometrics, Elsevier, vol. 2(2), pages 105-110, July.
    5. Windmeijer, F A G & Silva, J M C Santos, 1997. "Endogeneity in Count Data Models: An Application to Demand for Health Care," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 281-294, May-June.
    6. Murphy, Kevin M & Topel, Robert H, 2002. "Estimation and Inference in Two-Step Econometric Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 88-97, January.
    7. Terza, Joseph V., 1998. "Estimating count data models with endogenous switching: Sample selection and endogenous treatment effects," Journal of Econometrics, Elsevier, vol. 84(1), pages 129-154, May.
    8. Amemiya, Takeshi, 1978. "The Estimation of a Simultaneous Equation Generalized Probit Model," Econometrica, Econometric Society, vol. 46(5), pages 1193-1205, September.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Binomial; Endogeneity; Choice Set; Unemployment; Test.;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities

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