IDEAS home Printed from https://ideas.repec.org/a/bla/jecsur/v25y2011i1p19-68.html
   My bibliography  Save this article

Alternative Estimating And Testing Empirical Strategies For Fractional Regression Models

Author

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

Abstract

In many economic settings, the variable of interest is often a fraction or a proportion, being defined only on the unit interval. The bounded nature of such variables and, in some cases, the possibility of nontrivial probability mass accumulating at one or both boundaries raise some interesting estimation and inference issues. In this paper we: (i) provide a comprehensive survey of the main alternative models and estimation methods suitable to deal with fractional response variables; (ii) propose a full testing methodology to assess the validity of the assumptions required by each alternative estimator; and (iii) examine the finite sample properties of most of the estimators and tests discussed through an extensive Monte Carlo study. An application concerning corporate capital structure choices is also provided.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • 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.
    • Handle: RePEc:bla:jecsur:v:25:y:2011:i:1:p:19-68
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Davidson, Russell & MacKinnon, James G, 1981. "Several Tests for Model Specification in the Presence of Alternative Hypotheses," Econometrica, Econometric Society, vol. 49(3), pages 781-793, May.
    2. 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.
    3. Horowitz, Joel L., 1994. "Bootstrap-based critical values for the information matrix test," Journal of Econometrics, Elsevier, vol. 61(2), pages 395-411, April.
    4. Papke, Leslie E. & Wooldridge, Jeffrey M., 2008. "Panel data methods for fractional response variables with an application to test pass rates," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 121-133, July.
    5. Silvia Ferrari & Francisco Cribari-Neto, 2004. "Beta Regression for Modelling Rates and Proportions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(7), pages 799-815.
    6. McDonald, John F & Moffitt, Robert A, 1980. "The Uses of Tobit Analysis," The Review of Economics and Statistics, MIT Press, vol. 62(2), pages 318-321, May.
    7. Chesher, Andrew, 1983. "The information matrix test : Simplified calculation via a score test interpretation," Economics Letters, Elsevier, vol. 13(1), pages 45-48.
    8. Poirier, Dale J., 1980. "A lagrange multiplier test for skewness in binary logit models," Economics Letters, Elsevier, vol. 5(2), pages 141-143.
    9. 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.
    10. 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.
    11. Joachim Wagner, 2003. "Unobserved firm heterogeneity and the size-exports nexus: Evidence from German panel data," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 139(1), pages 161-172, March.
    12. Benjamin E. Hermalin & Nancy E. Wallace, 1994. "The Determinants of Efficiency and Solvency in Savings and Loans," RAND Journal of Economics, The RAND Corporation, vol. 25(3), pages 361-381, Autumn.
    13. Rajan, Raghuram G & Zingales, Luigi, 1995. "What Do We Know about Capital Structure? Some Evidence from International Data," Journal of Finance, American Finance Association, vol. 50(5), pages 1421-1460, December.
    14. Machado, Jose A F & Santos Silva, Joao M C, 2008. "Quantiles for Fractions and Other Mixed Data," Economics Discussion Papers 3550, University of Essex, Department of Economics.
    15. 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.
    16. Mullahy, John, 1986. "Specification and testing of some modified count data models," Journal of Econometrics, Elsevier, vol. 33(3), pages 341-365, December.
    17. Dirk Czarnitzki & Kornelius Kraft, 2004. "Firm Leadership and Innovative Performance: Evidence from Seven EU Countries," Small Business Economics, Springer, vol. 22(5), pages 325-332, June.
    18. Peter Xue-Kun Song & Ming Tan, 2000. "Marginal Models for Longitudinal Continuous Proportional Data," Biometrics, The International Biometric Society, vol. 56(2), pages 496-502, June.
    19. Madden, David, 2008. "Sample selection versus two-part models revisited: The case of female smoking and drinking," Journal of Health Economics, Elsevier, vol. 27(2), pages 300-307, March.
    20. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    21. Joachim Wagner, 2008. "Exports and Firm Characteristics – First Evidence from Fractional Probit Panel Estimates," Working Paper Series in Economics 97, University of Lüneburg, Institute of Economics.
    22. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Applications to Poisson Models," Econometrica, Econometric Society, vol. 52(3), pages 701-720, May.
    23. Cook, Douglas O. & Kieschnick, Robert & McCullough, B.D., 2008. "Regression analysis of proportions in finance with self selection," Journal of Empirical Finance, Elsevier, vol. 15(5), pages 860-867, December.
    24. Lancaster, Tony, 1984. "The Covariance Matrix of the Information Matrix Test," Econometrica, Econometric Society, vol. 52(4), pages 1051-1053, July.
    25. Timothy C. Haab & Kenneth E. McConnell, 1998. "Referendum Models and Economic Values: Theoretical, Intuitive, and Practical Bounds on Willingness to Pay," Land Economics, University of Wisconsin Press, vol. 74(2), pages 216-229.
    26. Paolino, Philip, 2001. "Maximum Likelihood Estimation of Models with Beta-Distributed Dependent Variables," Political Analysis, Cambridge University Press, vol. 9(4), pages 325-346, January.
    27. 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..
    28. Daryl Pregibon, 1980. "Goodness of Link Tests for Generalized Linear Models," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(1), pages 15-24, March.
    29. Petersen, Mitchell A & Rajan, Raghuram G, 1994. "The Benefits of Lending Relationships: Evidence from Small Business Data," Journal of Finance, American Finance Association, vol. 49(1), pages 3-37, March.
    30. 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.
    31. Hausman, Jerry A & Leonard, Gregory K, 1997. "Superstars in the National Basketball Association: Economic Value and Policy," Journal of Labor Economics, University of Chicago Press, vol. 15(4), pages 586-624, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Harald Oberhofer & Michael Pfaffermayr, 2014. "Two-Part Models for Fractional Responses Defined as Ratios of Integers," Econometrics, MDPI, vol. 2(3), pages 1-22, September.
    2. José M. R. Murteira & Joaquim J. S. Ramalho, 2016. "Regression Analysis of Multivariate Fractional Data," Econometric Reviews, Taylor & Francis Journals, vol. 35(4), pages 515-552, April.
    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. 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.
    5. Joaquim Ramalho & J. Silva, 2013. "Functional form issues in the regression analysis of financial leverage ratios," Empirical Economics, Springer, vol. 44(2), pages 799-831, April.
    6. John Mullahy, 2010. "Multivariate Fractional Regression Estimation of Econometric Share Models," NBER Working Papers 16354, National Bureau of Economic Research, Inc.
    7. Maria Simona Andreano & Roberto Benedetti & Federica Piersimoni & Giovanni Savio, 2021. "Mapping Poverty of Latin American and Caribbean Countries from Heaven Through Night-Light Satellite Images," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 156(2), pages 533-562, August.
    8. Esmeralda Ramalho & Joaquim Ramalho & Pedro Henriques, 2010. "Fractional regression models for second stage DEA efficiency analyses," Journal of Productivity Analysis, Springer, vol. 34(3), pages 239-255, December.
    9. Montoya-Blandón, Santiago & Jacho-Chávez, David T., 2020. "Semiparametric quasi maximum likelihood estimation of the fractional response model," Economics Letters, Elsevier, vol. 186(C).
    10. Mohieddine Rahmouni, 2021. "Determinants of capacity utilisation by firms in developing countries: evidence from Tunisia," International Journal of Technological Learning, Innovation and Development, Inderscience Enterprises Ltd, vol. 13(3), pages 212-245.
    11. Latouche, Karine & Rouviere, Elodie, 2011. "Brokers vs. Retailers: Evidence from the French Imports Industry of Fresh Produce," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 114398, European Association of Agricultural Economists.
    12. Reboul, E. & Guérin, I. & Nordman, C.J., 2021. "The gender of debt and credit: Insights from rural Tamil Nadu," World Development, Elsevier, vol. 142(C).
    13. Diego Ramos Canterle & Fábio Mariano Bayer, 2019. "Variable dispersion beta regressions with parametric link functions," Statistical Papers, Springer, vol. 60(5), pages 1541-1567, October.
    14. Ramalho Esmeralda A. & Ramalho Joaquim J.S. & Coelho Luís M.S., 2018. "Exponential Regression of Fractional-Response Fixed-Effects Models with an Application to Firm Capital Structure," Journal of Econometric Methods, De Gruyter, vol. 7(1), pages 1-18, January.
    15. 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.
    16. King, Maxwell L. & Zhang, Xibin & Akram, Muhammad, 2020. "Hypothesis testing based on a vector of statistics," Journal of Econometrics, Elsevier, vol. 219(2), pages 425-455.
    17. Schwiebert, Jörg, 2016. "A Sample Selection Model for Fractional Response Variables," VfS Annual Conference 2016 (Augsburg): Demographic Change 145527, Verein für Socialpolitik / German Economic Association.
    18. Kieschnick, Robert & Moussawi, Rabih, 2018. "Firm age, corporate governance, and capital structure choices," Journal of Corporate Finance, Elsevier, vol. 48(C), pages 597-614.
    19. Daniel Arce & Douglas Cook & Robert Kieschnick, 2015. "On the evolution of corporate capital structures," Journal of Evolutionary Economics, Springer, vol. 25(3), pages 561-583, July.
    20. Owen, Sian & Yawson, Alfred, 2013. "Information asymmetry and international strategic alliances," Journal of Banking & Finance, Elsevier, vol. 37(10), pages 3890-3903.

    More about this item

    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
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:jecsur:v:25:y:2011:i:1:p:19-68. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0950-0804 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.