Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
IDEAS home Printed from https://ideas.repec.org/h/eme/aecozz/s0731-9053(2011)000027a011.html
   My bibliography  Save this book chapter

Efficient Probit Estimation with Partially Missing Covariates

In: Missing Data Methods: Cross-sectional Methods and Applications

Author

Listed:
  • Denis Conniffe
  • Donal O'Neill

Abstract

A common approach to dealing with missing data is to estimate the model on the common subset of data, by necessity throwing away potentially useful data. We derive a new probit type estimator for models with missing covariate data where the dependent variable is binary. For the benchmark case of conditional multinormality we show that our estimator is efficient and provide exact formulae for its asymptotic variance. Simulation results show that our estimator outperforms popular alternatives and is robust to departures from the parametric assumptions adopted in the benchmark case. We illustrate our estimator by examining the portfolio allocation decision of Italian households.

Suggested Citation

  • Denis Conniffe & Donal O'Neill, 2011. "Efficient Probit Estimation with Partially Missing Covariates," Advances in Econometrics, in: Missing Data Methods: Cross-sectional Methods and Applications, pages 209-245, Emerald Group Publishing Limited.
    • Handle: RePEc:eme:aecozz:s0731-9053(2011)000027a011
    DOI: 10.1108/S0731-9053(2011)000027A011
    as

    Download full text from publisher

    File URL: https://www.emerald.com/insight/content/doi/10.1108/S0731-9053(2011)000027A011/full/html?utm_source=repec&utm_medium=feed&utm_campaign=repec
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://www.emerald.com/insight/content/doi/10.1108/S0731-9053(2011)000027A011/full/pdf?utm_source=repec&utm_medium=feed&utm_campaign=repec
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://www.emerald.com/insight/content/doi/10.1108/S0731-9053(2011)000027A011/full/epub?utm_source=repec&utm_medium=feed&utm_campaign=repec&title=10.1108/S0731-9053(2011)000027A011
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1108/S0731-9053(2011)000027A011?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 475-492, National Bureau of Economic Research, Inc.
    2. Peter Dolton & Donal O'Neill, 2002. "The Long-Run Effects of Unemployment Monitoring and Work-Search Programs: Experimental Evidence from the United Kingdom," Journal of Labor Economics, University of Chicago Press, vol. 20(2), pages 381-403, Part.
    3. Guiso, Luigi & Jappelli, Tullio & Terlizzese, Daniele, 1996. "Income Risk, Borrowing Constraints, and Portfolio Choice," American Economic Review, American Economic Association, vol. 86(1), pages 158-172, March.
    4. Conniffe, Denis, 1985. "Estimating regression equations with common explanatory variables but unequal numbers of observations," Journal of Econometrics, Elsevier, vol. 27(2), pages 179-196, February.
    5. Patrick Royston, 2004. "Multiple imputation of missing values," Stata Journal, StataCorp LP, vol. 4(3), pages 227-241, September.
    6. John Y. Campbell, 2006. "Household Finance," Journal of Finance, American Finance Association, vol. 61(4), pages 1553-1604, August.
    7. Guiso, Luigi & Jappelli, Tullio, 2000. "Household Portfolios in Italy," CEPR Discussion Papers 2549, C.E.P.R. Discussion Papers.
    8. Denis Conniffe, 1983. "Small-Sample Properties of Estimators of Regression Coefficients Given a Common Pattern of Missing Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 111-120.
    9. Peter Dolton; & Donal O'Neill, 1997. "The Long-Run Effects of Unemployment Monitoring and Work-Search Programs: Some Experimental Evidence from the U.K," Economics Department Working Paper Series n710897, Department of Economics, National University of Ireland - Maynooth.
    10. Rosen, H.S.Harvey S. & Wu, Stephen, 2004. "Portfolio choice and health status," Journal of Financial Economics, Elsevier, vol. 72(3), pages 457-484, June.
    11. Cameron,A. Colin & Trivedi,Pravin K., 2005. "Microeconometrics," Cambridge Books, Cambridge University Press, number 9780521848053, November.
    12. Claudia Biancotti & Giovanni D'Alessio & Andrea Neri, 2008. "Measurement Error In The Bank Of Italy'S Survey Of Household Income And Wealth," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 54(3), pages 466-493, September.
    13. Dagenais, Marcel G., 1973. "The use of incomplete observations in multiple regression analysis : A generalized least squares approach," Journal of Econometrics, Elsevier, vol. 1(4), pages 317-328, December.
    14. Tullio Jappelli & Luigi Pistaferri, 2006. "Intertemporal Choice and Consumption Mobility," Journal of the European Economic Association, MIT Press, vol. 4(1), pages 75-115, March.
    15. Brunello, Giorgio & Miniaci, Raffaele, 1999. "The economic returns to schooling for Italian men. An evaluation based on instrumental variables1," Labour Economics, Elsevier, vol. 6(4), pages 509-519, November.
    16. Horowitz, Joel L. & Manski, Charles F., 2006. "Identification and estimation of statistical functionals using incomplete data," Journal of Econometrics, Elsevier, vol. 132(2), pages 445-459, June.
    17. Chesher, Andrew, 1984. "Improving the Efficiency of Probit Estimators," The Review of Economics and Statistics, MIT Press, vol. 66(3), pages 523-527, August.
    18. Wooldridge, Jeffrey M., 2007. "Inverse probability weighted estimation for general missing data problems," Journal of Econometrics, Elsevier, vol. 141(2), pages 1281-1301, December.
    19. Hamermesh, Daniel S., 1999. "LEEping into the future of labor economics: the research potential of linking employer and employee data," Labour Economics, Elsevier, vol. 6(1), pages 25-41, March.
    20. Christian Gourieroux & Alain Monfort, 1981. "On the Problem of Missing Data in Linear Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(4), pages 579-586.
    21. Joop Hartog & Ada Ferrer‐i‐Carbonell & Nicole Jonker, 2002. "Linking Measured Risk Aversion to Individual Characteristics," Kyklos, Wiley Blackwell, vol. 55(1), pages 3-26.
    22. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    23. Dolton, Peter & O'Neill, Donal, 1996. "Unemployment Duration and the Restart Effect: Some Experimental Evidence," Economic Journal, Royal Economic Society, vol. 106(435), pages 387-400, March.
    24. Couch, Kenneth A, 1992. "New Evidence on the Long-Term Effects of Employment Training Programs," Journal of Labor Economics, University of Chicago Press, vol. 10(4), pages 380-388, October.
    25. Michael Beenstock, 2004. "Rank And Quantity Mobility In The Empirical Dynamics Of Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 50(4), pages 519-541, December.
    26. Guiso, Luigi & Jappelli, Tullio & Pistaferri, Luigi, 2002. "An Empirical Analysis of Earnings and Employment Risk," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 241-253, April.
    27. Carol C. Bertaut & Martha Starr-McCluer, 2000. "Household portfolios in the United States," Finance and Economics Discussion Series 2000-26, Board of Governors of the Federal Reserve System (U.S.).
    28. Luigi Pistaferri, 2003. "Anticipated and Unanticipated Wage Changes, Wage Risk, and Intertemporal Labor Supply," Journal of Labor Economics, University of Chicago Press, vol. 21(3), pages 729-754, July.
    29. Feldstein, Martin S, 1976. "Personal Taxation and Portfolio Composition: An Econometric Analysis," Econometrica, Econometric Society, vol. 44(4), pages 631-650, July.
    30. Jeffrey M. Wooldridge, 1999. "Asymptotic Properties of Weighted M-Estimators for Variable Probability Samples," Econometrica, Econometric Society, vol. 67(6), pages 1385-1406, November.
    31. Christopher Paul & William Mason & Daniel McCaffrey & Sarah Fox, 2008. "A cautionary case study of approaches to the treatment of missing data," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 17(3), pages 351-372, July.
    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. Liu, Weiling & Moench, Emanuel, 2016. "What predicts US recessions?," International Journal of Forecasting, Elsevier, vol. 32(4), pages 1138-1150.
    2. Martin Iseringhausen & Ms. Mwanza Nkusu & Wellian Wiranto, 2019. "Repeated Use of IMF-Supported Programs: Determinants and Forecasting," IMF Working Papers 2019/245, International Monetary Fund.
    3. Mark McGovern & David Canning & Till Bärnighausen, 2018. "Accounting for Non-Response Bias using Participation Incentives and Survey Design," CHaRMS Working Papers 18-02, Centre for HeAlth Research at the Management School (CHaRMS).
    4. Michael Wosser, 2015. "Long Run Macroeconomic and Sectoral Determinants of Systemic Banking Crises," Economics Department Working Paper Series n266-15.pdf, Department of Economics, National University of Ireland - Maynooth.
    5. Laitila, Thomas & Wang, Lisha, 2015. "A Two-Step Estimator for Missing Values in Probit Model Covariates," Working Papers 2015:3, Örebro University, School of Business.

    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. Denis Conniffe & Donal O’Neill, 2008. "An Efficient Estimator for Dealing with Missing Data on Explanatory Variables in a Probit Choice Model," Economics Department Working Paper Series n1960908.pdf, Department of Economics, National University of Ireland - Maynooth.
    2. Nataliya Barasinska & Dorothea Schäfer & Andreas Stephan, 2008. "Financial Risk Aversion and Household Asset Diversification," SOEPpapers on Multidisciplinary Panel Data Research 117, DIW Berlin, The German Socio-Economic Panel (SOEP).
    3. Raffaele Miniaci & Sergio Pastorello, 2010. "Mean-variance econometric analysis of household portfolios," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(3), pages 481-504.
    4. Guiso, Luigi & Sodini, Paolo, 2013. "Household Finance: An Emerging Field," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1397-1532, Elsevier.
    5. Hugo Benítez-Silva, 2003. "Labor Supply Flexibility and Portfolio Choice: An Empirical Analysis," Working Papers wp056, University of Michigan, Michigan Retirement Research Center.
    6. King, Mervyn A. & Leape, Jonathan I., 1998. "Wealth and portfolio composition: Theory and evidence," Journal of Public Economics, Elsevier, vol. 69(2), pages 155-193, June.
    7. Luigi Guiso & Monica Paiella, 2008. "Risk Aversion, Wealth, and Background Risk," Journal of the European Economic Association, MIT Press, vol. 6(6), pages 1109-1150, December.
    8. Cardak, Buly A. & Wilkins, Roger, 2009. "The determinants of household risky asset holdings: Australian evidence on background risk and other factors," Journal of Banking & Finance, Elsevier, vol. 33(5), pages 850-860, May.
    9. Christelis, Dimitris & Georgarakos, Dimitris & Haliassos, Michael, 2009. "Stockholding: From participation to location and to participation spillovers," CFS Working Paper Series 2009/02, Center for Financial Studies (CFS).
    10. Christelis, Dimitris & Georgarakos, Dimitris, 2013. "Investing at home and abroad: Different costs, different people?," Journal of Banking & Finance, Elsevier, vol. 37(6), pages 2069-2086.
    11. Christelis, Dimitris & Jappelli, Tullio & Padula, Mario, 2010. "Cognitive abilities and portfolio choice," European Economic Review, Elsevier, vol. 54(1), pages 18-38, January.
    12. Khorunzhina, Natalia, 2013. "Structural estimation of stock market participation costs," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2928-2942.
    13. Barnea, Amir & Cronqvist, Henrik & Siegel, Stephan, 2010. "Nature or nurture: What determines investor behavior?," Journal of Financial Economics, Elsevier, vol. 98(3), pages 583-604, December.
    14. Dana Goldman & Nicole Maestas, 2013. "Medical Expenditure Risk And Household Portfolio Choice," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(4), pages 527-550, June.
    15. Luik, Marc-André & Berlemann, Michael, 2014. "Institutional Reform and Depositors’ Portfolio Choice: Evidence from Censored Quantile Regressions," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100291, Verein für Socialpolitik / German Economic Association.
    16. Mervyn A. King & Jonathan I. Leape, 1984. "Wealth and Portfolio Composition: Theory and Evidence," NBER Working Papers 1468, National Bureau of Economic Research, Inc.
    17. Becker, Gideon, 2014. "The portfolio structure of German households: A multinomial fractional response approach with unobserved heterogeneity," University of Tübingen Working Papers in Business and Economics 74, University of Tuebingen, Faculty of Economics and Social Sciences, School of Business and Economics.
    18. Rosen, H.S.Harvey S. & Wu, Stephen, 2004. "Portfolio choice and health status," Journal of Financial Economics, Elsevier, vol. 72(3), pages 457-484, June.
    19. Michael Haliassos & Alexander Michaelides, 2003. "Portfolio Choice and Liquidity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(1), pages 143-177, February.
    20. Martin Huber, 2012. "Identification of Average Treatment Effects in Social Experiments Under Alternative Forms of Attrition," Journal of Educational and Behavioral Statistics, , vol. 37(3), pages 443-474, June.

    More about this item

    Keywords

    Missing data; probit model; portfolio allocation; risk-aversion;
    All these keywords.

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

    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:eme:aecozz:s0731-9053(2011)000027a011. 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: Emerald Support (email available below). General contact details of provider: .

    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.