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A Generalized Goodness-of-functional Form Test for Binary and Fractional Regression Models

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  • Esmeralda A. Ramalho
  • Joaquim J. S. Ramalho
  • José M. R. Murteira

Abstract

type="main"> 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 non-parametric.

Suggested Citation

  • Esmeralda A. Ramalho & Joaquim J. S. Ramalho & José M. R. Murteira, 2014. "A Generalized Goodness-of-functional Form Test for Binary and Fractional Regression Models," Manchester School, University of Manchester, vol. 82(4), pages 488-507, July.
  • Handle: RePEc:bla:manchs:v:82:y:2014:i:4:p:488-507
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    File URL: http://hdl.handle.net/10.1111/manc.12032
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    1. Koenker, Roger & Yoon, Jungmo, 2009. "Parametric links for binary choice models: A Fisherian-Bayesian colloquy," Journal of Econometrics, Elsevier, pages 120-130.
    2. Esmeralda A. Ramalho & Joaquim J.S. Ramalho & José M.R. Murteira, 2009. "Alternative estimating and testing empirical strategies for fractional regression models," CEFAGE-UE Working Papers 2009_08, University of Evora, CEFAGE-UE (Portugal).
    3. John Xu Zheng, 1996. "A consistent test of functional form via nonparametric estimation techniques," Journal of Econometrics, Elsevier, pages 263-289.
    4. 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, pages 19-68.
    5. Esmeralda A. Ramalho & Joaquim Ramalho, 2010. "Alternative versions of the RESET test for binary response index models: a comparative study," CEFAGE-UE Working Papers 2010_09, University of Evora, CEFAGE-UE (Portugal).
    6. 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., pages 577-597.
    7. Joaquim J.S. Ramalho & Jacinto Vidigal da Silva, 2006. "A two-part fractional regression model for the financial leverage decisions of micro, small, medium and large firms," Economics Working Papers 9_2006, University of Évora, Department of Economics (Portugal).
    8. 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, pages 621-636.
    9. 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, pages 107-130.
    10. Whang, Yoon-Jae, 2000. "Consistent bootstrap tests of parametric regression functions," Journal of Econometrics, Elsevier, pages 27-46.
    11. Borjas, George J. & Sueyoshi, Glenn T., 1994. "A two-stage estimator for probit models with structural group effects," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 165-182.
    12. 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., pages 619-632.
    13. 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.
    14. Poirier, Dale J., 1980. "A lagrange multiplier test for skewness in binary logit models," Economics Letters, Elsevier, pages 141-143.
    15. 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., pages 577-597.
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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, 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, pages 404-416.
    3. Harald Oberhofer & Michael Pfaffermayr, 2014. "Two-Part Models for Fractional Responses Defined as Ratios of Integers," WIFO Working Papers 472, WIFO.
    4. Alper Kara & Aydin Ozkan & Yener Altunbas, 2016. "Securitisation and banking risk: what do we know so far?," Review of Behavioral Finance, Emerald Group Publishing, vol. 8(1), pages 2-16, June.
    5. 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.

    More about this item

    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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