IDEAS home Printed from https://ideas.repec.org/p/fip/fednrp/9716.html
   My bibliography  Save this paper

A new measure of fit for equations with dichotomous dependent variables

Author

Listed:
  • Arturo Estrella

Abstract

The econometrics literature contains many alternative measures of goodness of fit, roughly analogous to R2, for use with equations with dichotomous dependent variables. There is, however, no consensus as to the measures' relative merits or about which ones should be reported in empirical work. This paper proposes a new measure that possesses several useful properties that the other measures lack. The new measure may be interpreted intuitively in a similar way to R2 in the linear regression context.

Suggested Citation

  • Arturo Estrella, 1997. "A new measure of fit for equations with dichotomous dependent variables," Research Paper 9716, Federal Reserve Bank of New York.
  • Handle: RePEc:fip:fednrp:9716
    as

    Download full text from publisher

    File URL: https://www.newyorkfed.org/medialibrary/media/research/staff_reports/research_papers/9716.html
    Download Restriction: no

    File URL: https://www.newyorkfed.org/medialibrary/media/research/staff_reports/research_papers/9716.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Estrella, Arturo & Mishkin, Frederic S., 1997. "The predictive power of the term structure of interest rates in Europe and the United States: Implications for the European Central Bank," European Economic Review, Elsevier, vol. 41(7), pages 1375-1401, July.
    2. Amemiya, Takeshi, 1981. "Qualitative Response Models: A Survey," Journal of Economic Literature, American Economic Association, vol. 19(4), pages 1483-1536, December.
    3. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119, Decembrie.
    4. Dhrymes, Phoebus J., 1986. "Limited dependent variables," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 3, chapter 27, pages 1567-1631, Elsevier.
    5. John G. Cragg & Russell S. Uhler, 1970. "The Demand for Automobiles," Canadian Journal of Economics, Canadian Economics Association, vol. 3(3), pages 386-406, August.
    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. Michael Veall & Klaus Zimmermann, 1994. "Evaluating Pseudo-R 2 's for binary probit models," Quality & Quantity: International Journal of Methodology, Springer, vol. 28(2), pages 151-164, May.
    2. Biagio Simonetti & Pasquale Sarnacchiaro & M. Rosario González Rodríguez, 2017. "Goodness of fit measures for logistic regression model: an application for students’ evaluations of university teaching," Quality & Quantity: International Journal of Methodology, Springer, vol. 51(6), pages 2545-2554, November.
    3. Maria Iacovou, 2002. "Class Size in the Early Years: Is Smaller Really Better?," Education Economics, Taylor & Francis Journals, vol. 10(3), pages 261-290.
    4. Isabel Proenca & Joao Santos Silva, 2005. "Parametric and semiparametric specification tests for binary choice models: a comparative simulation study," Econometrics 0508008, University Library of Munich, Germany.
    5. Golan, Amos & Judge, George & Perloff, Jeffrey, 1997. "Estimation and inference with censored and ordered multinomial response data," Journal of Econometrics, Elsevier, vol. 79(1), pages 23-51, July.
    6. Adrian C. Darnell, 1994. "A Dictionary Of Econometrics," Books, Edward Elgar Publishing, number 118.
    7. Bergtold, Jason S. & Ramsey, Steven M., 2015. "Neural Network Estimators of Binary Choice Processes: Estimation, Marginal Effects and WTP," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205649, Agricultural and Applied Economics Association.
    8. Marc J. Leclere, 1999. "The Interpretation of Coefficients in N†Chotomous Qualitative Response Models," Contemporary Accounting Research, John Wiley & Sons, vol. 16(4), pages 711-747, December.
    9. Uri, Noel D., 1998. "Conservation tillage and the use of energy and other inputs in US agriculture," Energy Economics, Elsevier, vol. 20(4), pages 389-410, September.
    10. Steven M. Ramsey & Jason S. Bergtold, 2021. "Examining Inferences from Neural Network Estimators of Binary Choice Processes: Marginal Effects, and Willingness-to-Pay," Computational Economics, Springer;Society for Computational Economics, vol. 58(4), pages 1137-1165, December.
    11. Seifert-Vogt, Hans G., 1988. "Die ökonometrische Spezifikation eines sequentiellen Modells der Rückkehrentscheidungen ausländischer Arbeiter aus dem Gastland in ihr Heimatland," Discussion Papers, Series II 57, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    12. J. Paul Elhorst, 1998. "A note on the linear, logit and probit functional form of the labour force participation rate equation," ERSA conference papers ersa98p111, European Regional Science Association.
    13. Keita, Moussa, 2015. "Introduction à l'Econométrie [Introduction to Econometrics]," MPRA Paper 66840, University Library of Munich, Germany.
    14. Xinyu Zhang & Alan T. K. Wan & Sherry Z. Zhou, 2011. "Focused Information Criteria, Model Selection, and Model Averaging in a Tobit Model With a Nonzero Threshold," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(1), pages 132-142, June.
    15. Uri, Noel D. & Konyar, Kazim, 1996. "Conservation tillage and the use of energy and other inputs in US Agriculture," Applied Energy, Elsevier, vol. 54(2), pages 75-102, June.
    16. Selen Cakmakyapan & Haydar Demirhan, 2017. "A Monte Carlo-based pseudo-coefficient of determination for generalized linear models with binary outcome," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(14), pages 2458-2482, October.
    17. William H. Greene & David A. Hensher, 2008. "Modeling Ordered Choices: A Primer and Recent Developments," Working Papers 08-26, New York University, Leonard N. Stern School of Business, Department of Economics.
    18. Stéphane Luchini & Christel Protière & Jean‐Paul Moatti, 2003. "Eliciting several willingness to pay in a single contingent valuation survey: application to health care," Health Economics, John Wiley & Sons, Ltd., vol. 12(1), pages 51-64, January.
    19. MARK McGILLIVRAY & EDWARD OCZKOWSKI, 1991. "Modelling the Allocation of Australian Bilaterial Aid: A Two‐Part Sample Selection Approach," The Economic Record, The Economic Society of Australia, vol. 67(2), pages 147-152, June.
    20. Jeff Racine, 2002. "Generalized Semiparametric Binary Prediction," Annals of Economics and Finance, Society for AEF, vol. 3(1), pages 117-134, May.

    More about this item

    Keywords

    Econometric models;

    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:fip:fednrp:9716. 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: Gabriella Bucciarelli (email available below). General contact details of provider: https://edirc.repec.org/data/frbnyus.html .

    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.