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Score tests of normality in bivariate probit models

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  • Murphy, Anthony

Abstract

A relatively simple and convenient score test of normality in the bivariate probit model is derived. Monte Carlo simulations show that the small sample performance of the bootstrapped test is quite good. The test may be readily extended to testing normality in related models.
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Suggested Citation

  • Murphy, Anthony, 2007. "Score tests of normality in bivariate probit models," Economics Letters, Elsevier, vol. 95(3), pages 374-379, June.
  • Handle: RePEc:eee:ecolet:v:95:y:2007:i:3:p:374-379
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    References listed on IDEAS

    as
    1. Lee, Lung-Fei, 1984. "Tests for the Bivariate Normal Distribution in Econometric Models with Selectivity," Econometrica, Econometric Society, vol. 52(4), pages 843-863, July.
    2. Horowitz, Joel L., 1994. "Bootstrap-based critical values for the information matrix test," Journal of Econometrics, Elsevier, vol. 61(2), pages 395-411, April.
    3. J. S. Butler & Patrali Chatterjee, 1997. "Tests of the Specification of Univariate and Bivariate Ordered Probit," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 343-347, May.
    4. Lee, Lung-Fei, 1983. "Generalized Econometric Models with Selectivity," Econometrica, Econometric Society, vol. 51(2), pages 507-512, March.
    5. Pagan, Adrian & Vella, Frank, 1989. "Diagnostic Tests for Models Based on Individual Data: A Survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(S), pages 29-59, Supplemen.
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    Cited by:

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    2. Rainer Winkelmann, 2012. "Copula Bivariate Probit Models: With An Application To Medical Expenditures," Health Economics, John Wiley & Sons, Ltd., vol. 21(12), pages 1444-1455, December.
    3. Holden, Darryl & Perman, Roger, 2014. "The convenient calculation of some test statistics in models of discrete choice," SIRE Discussion Papers 2015-07, Scottish Institute for Research in Economics (SIRE).
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    5. Chiburis, Richard C. & Das, Jishnu & Lokshin, Michael, 2012. "A practical comparison of the bivariate probit and linear IV estimators," Economics Letters, Elsevier, vol. 117(3), pages 762-766.
    6. Rainer Winkelmann, 2009. "Copula-based bivariate binary response models," SOI - Working Papers 0913, Socioeconomic Institute - University of Zurich.
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    14. Riccardo Lucchetti & Claudia Pigini, 2013. "A test for bivariate normality with applications in microeconometric models," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 22(4), pages 535-572, November.
    15. Botezat, Alina & Pfeiffer, Friedhelm, 2014. "The impact of parents migration on the well-being of children left behind: Initial evidence from Romania," ZEW Discussion Papers 14-029, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
    16. Riccardo LUCCHETTI & Claudia PIGINI, 2011. "Conditional Moment Tests for Normality in Bivariate Limited Dependent Variable Models: a Monte Carlo Study," Working Papers 357, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    17. repec:spr:waterr:v:31:y:2017:i:14:d:10.1007_s11269-017-1769-4 is not listed on IDEAS
    18. Luca Zanin & Rosalba Radice & Giampiero Marra, 2013. "Estimating the Effect of Perceived Risk of Crime on Social Trust in the Presence of Endogeneity Bias," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 114(2), pages 523-547, November.

    More about this item

    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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