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A generalized goodness-of-functional form test for binary and fractional regression models

Author

Listed:
  • Esmeralda A. Ramalho

    () (Departamento de Economia and CEFAGE-UE, Universidade de Évora)

  • Joaquim J.S. Ramalho

    () (Departamento de Economia and CEFAGE-UE, Universidade de Évora)

  • José M.R. Murteira

    () (Faculdade de Economia, Universidade de Coimbra, and CEMAPRE)

Abstract

This paper proposes a new conditional mean test to assess the validity of binary and fractional parametric regression models. The new test checks the joint significance of two simple functions of the fitted index and is based on a very flexible parametric generalization of the postulated model. A Monte Carlo study reveals a promising behaviour for the new test, which compares favourably with that of the well-known RESET test as well as with tests where the alternative model is nonparametric.

Suggested Citation

  • Esmeralda A. Ramalho & Joaquim J.S. Ramalho & José M.R. Murteira, 2013. "A generalized goodness-of-functional form test for binary and fractional regression models," CEFAGE-UE Working Papers 2013_09, University of Evora, CEFAGE-UE (Portugal).
  • Handle: RePEc:cfe:wpcefa:2013_09
    as

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    References listed on IDEAS

    as
    1. Esmeralda A. Ramalho & Joaquim J. S. Ramalho, 2012. "Alternative Versions of the RESET Test for Binary Response Index Models: A Comparative Study," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(1), pages 107-130, February.
    2. J. M. C. Santos Silva, 2001. "A score test for non-nested hypotheses with applications to discrete data models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(5), pages 577-597.
    3. Joaquim J.S. Ramalho & Jacinto Vidigal da Silva, 2009. "A two-part fractional regression model for the financial leverage decisions of micro, small, medium and large firms," Quantitative Finance, Taylor & Francis Journals, vol. 9(5), pages 621-636.
    4. Papke, Leslie E & Wooldridge, Jeffrey M, 1996. "Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 619-632, Nov.-Dec..
    5. Bera, Anil K & Jarque, Carlos M & Lee, Lung-Fei, 1984. "Testing the Normality Assumption in Limited Dependent Variable Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(3), pages 563-578, October.
    6. Poirier, Dale J., 1980. "A lagrange multiplier test for skewness in binary logit models," Economics Letters, Elsevier, vol. 5(2), pages 141-143.
    7. Koenker, Roger & Yoon, Jungmo, 2009. "Parametric links for binary choice models: A Fisherian-Bayesian colloquy," Journal of Econometrics, Elsevier, vol. 152(2), pages 120-130, October.
    8. Davidson, Russell & MacKinnon, James G., 1984. "Convenient specification tests for logit and probit models," Journal of Econometrics, Elsevier, vol. 25(3), pages 241-262, July.
    9. Esmeralda A. Ramalho & Joaquim J.S. Ramalho & José M.R. Murteira, 2011. "Alternative Estimating And Testing Empirical Strategies For Fractional Regression Models," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 19-68, February.
    10. John Xu Zheng, 1996. "A consistent test of functional form via nonparametric estimation techniques," Journal of Econometrics, Elsevier, vol. 75(2), pages 263-289, December.
    11. Smith, Richard J, 1989. "On the Use of Distributional Mis-specification Checks in Limited Dependent Variable Models," Economic Journal, Royal Economic Society, vol. 99(395), pages 178-192, Supplemen.
    12. Whang, Yoon-Jae, 2000. "Consistent bootstrap tests of parametric regression functions," Journal of Econometrics, Elsevier, vol. 98(1), pages 27-46, September.
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    Cited by:

    1. Alperovych, Yan & Hübner, Georges & Lobet, Fabrice, 2015. "How does governmental versus private venture capital backing affect a firm's efficiency? Evidence from Belgium," Journal of Business Venturing, Elsevier, vol. 30(4), pages 508-525.
    2. Silva, Vânia G. & Ramalho, Esmeralda A. & Vieira, Carlos R., 2016. "The impact of SEPA in credit transfer payments: Evidence from the euro area," Research in International Business and Finance, Elsevier, vol. 38(C), pages 404-416.
    3. Harald Oberhofer & Michael Pfaffermayr, 2014. "Two-Part Models for Fractional Responses Defined as Ratios of Integers," Econometrics, MDPI, Open Access Journal, vol. 2(3), pages 1-22, September.
    4. Ivan Diaz-Rainey & John Ashton & Maz Yap & Murat Genc & Rosalind Whiting, 2015. "The determinants of regulatory responses to risks from financial innovation: Survey evidence from G20," Working Papers 15001, Bangor Business School, Prifysgol Bangor University (Cymru / Wales).

    More about this item

    Keywords

    Binary data; Fractional data; Conditional mean tests; LM tests.;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities

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