IDEAS home Printed from https://ideas.repec.org/a/eee/csdana/v54y2010i4p987-1001.html
   My bibliography  Save this article

Is neglected heterogeneity really an issue in binary and fractional regression models? A simulation exercise for logit, probit and loglog models

Author

Listed:
  • Ramalho, Esmeralda A.
  • Ramalho, Joaquim J.S.

Abstract

Theoretical and simulation analysis is performed to examine whether unobserved heterogeneity independent of the included regressors is really an issue in logit, probit and loglog models with both binary and fractional data. It is found that unobserved heterogeneity has the following effects. First, it produces an attenuation bias in the estimation of regression coefficients. Second, although it is innocuous for logit estimation of average sample partial effects, it may generate biased estimation of those effects in the probit and loglog models. Third, it has much more deleterious effects on the estimation of population partial effects. Fourth, it is only for logit models that it does not substantially affect the prediction of outcomes. Fifth, it is innocuous for the size of Wald tests for the significance of observed regressors but, in small samples, it substantially reduces their power.

Suggested Citation

  • Ramalho, Esmeralda A. & Ramalho, Joaquim J.S., 2010. "Is neglected heterogeneity really an issue in binary and fractional regression models? A simulation exercise for logit, probit and loglog models," Computational Statistics & Data Analysis, Elsevier, vol. 54(4), pages 987-1001, April.
  • Handle: RePEc:eee:csdana:v:54:y:2010:i:4:p:987-1001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-9473(09)00382-X
    Download Restriction: Full text for ScienceDirect subscribers only.
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Chesher, Andrew & Peters, Simon, 1994. "Symmetry, Regression Design, and Sampling Distributions," Econometric Theory, Cambridge University Press, vol. 10(1), pages 116-129, March.
    2. 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.
    3. Chesher, Andrew, 1995. "A Mirror Image Invariance for M-Estimators," Econometrica, Econometric Society, vol. 63(1), pages 207-211, January.
    4. Andrews,Donald W. K. & Stock,James H. (ed.), 2005. "Identification and Inference for Econometric Models," Cambridge Books, Cambridge University Press, number 9780521844413.
    5. 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..
    6. Lee, Lung-Fei, 1982. "Specification error in multinomial logit models : Analysis of the omitted variable bias," Journal of Econometrics, Elsevier, vol. 20(2), pages 197-209, November.
    7. Cramer,J. S., 2011. "Logit Models from Economics and Other Fields," Cambridge Books, Cambridge University Press, number 9780521188036.
    8. Cramer,J. S., 2003. "Logit Models from Economics and Other Fields," Cambridge Books, Cambridge University Press, number 9780521815888.
    9. J. S. Cramer, 2007. "Robustness of Logit Analysis: Unobserved Heterogeneity and Mis‐specified Disturbances," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 69(4), pages 545-555, August.
    10. Stoker, Thomas M, 1986. "Consistent Estimation of Scaled Coefficients," Econometrica, Econometric Society, vol. 54(6), pages 1461-1481, November.
    11. Yatchew, Adonis & Griliches, Zvi, 1985. "Specification Error in Probit Models," The Review of Economics and Statistics, MIT Press, vol. 67(1), pages 134-139, February.
    12. Gourieroux,Christian, 2000. "Econometrics of Qualitative Dependent Variables," Cambridge Books, Cambridge University Press, number 9780521331494.
    13. Gourieroux,Christian, 2000. "Econometrics of Qualitative Dependent Variables," Cambridge Books, Cambridge University Press, number 9780521589857.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Rahmouni, Mohieddine & Ayadi, Mohamed & YIldIzoglu, Murat, 2010. "Characteristics of innovating firms in Tunisia: The essential role of external knowledge sources," Structural Change and Economic Dynamics, Elsevier, vol. 21(3), pages 181-196, August.
    2. Esmeralda A. Ramalho & Joaquim J. S. Ramalho, 2017. "Moment-based estimation of nonlinear regression models with boundary outcomes and endogeneity, with applications to nonnegative and fractional responses," Econometric Reviews, Taylor & Francis Journals, vol. 36(4), pages 397-420, April.
    3. Shuang Zhu & R. Pace, 2014. "Modeling Spatially Interdependent Mortgage Decisions," The Journal of Real Estate Finance and Economics, Springer, vol. 49(4), pages 598-620, November.
    4. Achim Hecker & Alois Ganter, 2016. "Organisational And Technological Innovation And The Moderating Effect Of Open Innovation Strategies," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 20(02), pages 1-31, February.
    5. Geerling, Wayne & Magee, Gary B. & Brooks, Robert, 2015. "Cooperation, defection and resistance in Nazi Germany," Explorations in Economic History, Elsevier, vol. 58(C), pages 125-139.
    6. Guggisberg Michael, 2019. "Misspecified Discrete Choice Models and Huber-White Standard Errors," Journal of Econometric Methods, De Gruyter, vol. 8(1), pages 1-17, January.

    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. J.S. Cramer, 2005. "Omitted Variables and Misspecified Disturbances in the Logit Model," Tinbergen Institute Discussion Papers 05-084/4, Tinbergen Institute.
    2. Jerzy Marzec & Stanisław Czyż & Piotr Styrkowiec, 2015. "Grouped probit regression analysis for shooting effectiveness in basketball," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 39, pages 135-150.
    3. Achim Hecker & Alois Ganter, 2016. "Organisational And Technological Innovation And The Moderating Effect Of Open Innovation Strategies," International Journal of Innovation Management (ijim), World Scientific Publishing Co. Pte. Ltd., vol. 20(02), pages 1-31, February.
    4. Esmeralda A. Ramalho & Joaquim J. S. Ramalho, 2017. "Moment-based estimation of nonlinear regression models with boundary outcomes and endogeneity, with applications to nonnegative and fractional responses," Econometric Reviews, Taylor & Francis Journals, vol. 36(4), pages 397-420, April.
    5. van Cranenburgh, Sander & Prato, Carlo G., 2016. "On the robustness of random regret minimization modelling outcomes towards omitted attributes," Journal of choice modelling, Elsevier, vol. 18(C), pages 51-70.
    6. 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.
    7. Cristian Angelo Guevara & Moshe E. Ben-Akiva, 2012. "Change of Scale and Forecasting with the Control-Function Method in Logit Models," Transportation Science, INFORMS, vol. 46(3), pages 425-437, August.
    8. Campbell, Randall C. & Nagel, Gregory L., 2016. "Private information and limitations of Heckman's estimator in banking and corporate finance research," Journal of Empirical Finance, Elsevier, vol. 37(C), pages 186-195.
    9. Szabó, György & Borsos, István & Szombati, Edit, 2019. "Games, graphs and Kirchhoff laws," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 416-423.
    10. Bowker, James Michael & Starbuck, C. Meghan & English, Donald B.K. & Bergstrom, John C. & Rosenberger, Randall S. & McCollum, Daniel W., 2009. "Estimating the Net Economic Value of National Forest Recreation: An Application of the National Visitor Use Monitoring Database," Faculty Series 59603, University of Georgia, Department of Agricultural and Applied Economics.
    11. Rowe, Francisco/F & Aroca, Patricio/P, 2008. "Eficiencia de la migración interregional en Chile para ajustar el mercado laboral [Interregional migration efficiency in adjusting regional labour markets in Chile]," MPRA Paper 36222, University Library of Munich, Germany.
    12. Katarzyna Sokołowska, 2014. "Determinants and perceptions of social mobility in Poland, 1992-2008," Contemporary Economics, University of Economics and Human Sciences in Warsaw., vol. 8(1), March.
    13. Bianca Polenzani & Chiara Riganelli & Andrea Marchini, 2020. "Sustainability Perception of Local Extra Virgin Olive Oil and Consumers’ Attitude: A New Italian Perspective," Sustainability, MDPI, vol. 12(3), pages 1-18, January.
    14. Albert Esteve & Coro Chasco & Antonio López-Gay, 2022. "Modeling Local Variations in Intermarriage," Mathematics, MDPI, vol. 10(7), pages 1-18, March.
    15. Annemiek Vuren & Daniel Vuuren, 2007. "Financial Incentives in Disability Insurance in the Netherlands," De Economist, Springer, vol. 155(1), pages 73-98, March.
    16. Gordon Kemp & João Santos Silva, 2016. "Partial effects in fixed-effects models," United Kingdom Stata Users' Group Meetings 2016 06, Stata Users Group.
    17. Joshua Lospinoso & Michael Schweinberger & Tom Snijders & Ruth Ripley, 2011. "Assessing and accounting for time heterogeneity in stochastic actor oriented models," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 5(2), pages 147-176, July.
    18. Beverelli, Cosimo & Fiorini, Matteo & Hoekman, Bernard, 2017. "Services trade policy and manufacturing productivity: The role of institutions," Journal of International Economics, Elsevier, vol. 104(C), pages 166-182.
    19. Aldona Standar & Agnieszka Kozera & Łukasz Satoła, 2021. "The Importance of Local Investments Co-Financed by the European Union in the Field of Renewable Energy Sources in Rural Areas of Poland," Energies, MDPI, vol. 14(2), pages 1-23, January.
    20. Cristina COCULESCU & Aura-Marilena DIN, 2014. "Possibilities Of Quantitative Study Of Some Qualitative Processes In Economy," Romanian Economic Business Review, Romanian-American University, vol. 9(4), pages 7-18, december.

    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
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities

    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:eee:csdana:v:54:y:2010:i:4:p:987-1001. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/csda .

    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.