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Conditional Moment Tests for Normality in Bivariate Limited Dependent Variable Models: a Monte Carlo Study

Author

Listed:
  • Riccardo LUCCHETTI

    () (Universita' Politecnica delle Marche, Dipartimento di Economia)

  • Claudia PIGINI

    () (Universita' Politecnica delle Marche, Dipartimento di Economia)

Abstract

In this paper, we run a Monte Carlo analysis of the finite-sample performance of an Information Matrix Test put forward by Smith (1985) for bivariate censored models. We use the bivariate probit model and Heckman selection model as examples.;Approximating the finite-sample distribution of this test statistic by its asymptotic distribution can lead to very misleading results: its size is severely distorted even in samples that common practice would judge to be perfectly adequate for asymptotics. This is especially true when the correlation coefficient is far from zero.;Power properties of the test statistic are investigated by using bivariate t(6) and x2(1) alternatives. The test has very low power against leptokurtosis, especially in the bivariate probit case, while power against asymmetry appears to be much more satisfactory.;In general, the performance of the Information Matrix test seems to be related to the amount of information on the latent variables which survives the censoring mechanism. A somewhat improved version of the test can be obtained, in some cases, by a careful choice of the moment conditions to employ.

Suggested Citation

  • 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.
  • Handle: RePEc:anc:wpaper:357
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    References listed on IDEAS

    as
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    Cited by:

    1. Alberto Russo, 2014. "A Stochastic Model of Wealth Accumulation with Class Division," Metroeconomica, Wiley Blackwell, vol. 65(1), pages 1-35, February.
    2. Lenzu, Simone & Tedeschi, Gabriele, 2012. "Systemic risk on different interbank network topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, pages 4331-4341.
    3. Ruggero Grilli & Gabriele Tedeschi & Mauro Gallegati, 2015. "Markets connectivity and financial contagion," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(2), pages 287-304, October.
    4. Alessandro STERLACCHINI, 2012. "Patent Oppositions as Competitive Tools: An Analysis of the Major Players in the European Market of White Goods," Working Papers 374, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    5. Eralba CELA & Tineke FOKKEMA & Elena AMBROSETTI, 2012. "Links Between Transnationalism Integration and Duration of Residence: The Case of eastern European Migrants in Italy," Working Papers 386, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    6. Elena AMBROSETTI & Eralba CELA & Tineke FOKKEMA, 2011. "The Remittances Behaviour of the Second Generation in Europe: Altruism or Self-Interest?," Working Papers 368, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    7. Miguel Santolino & Catalina Bolancé & Manuela Alcañiz, 2011. "Factors affecting hospital admission and recovery stay duration of in-patient motor victims in Spain," IREA Working Papers 201119, University of Barcelona, Research Institute of Applied Economics, revised Oct 2011.
    8. Claudia PIGINI, 2012. "Of Butterflies and Caterpillars: Bivariate Normality in the Sample Selection Model," Working Papers 377, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.

    More about this item

    Keywords

    Bivariate Probit; Information Matrix test; Monte Carlo simulation; Sample Selection Model;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions

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