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Selection Bias in Linear Regression, Logit and Probit Models

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  • JEFFREY A. DUBIN

    (California Institute of Technology)

  • DOUGLAS RIVERS

    (Stanford University)

Abstract

Missing data are common in observational studies due to self-selection of subjects. Missing data can bias estimates of linear regression and related models. The nature of selection bias and econometric methods for correcting it are described. The econometric approach relies upon a specification of the selection mechanism. We extend this approach to binary logit and probit models and provide a simple test for selection bias in these models. An analysis of candidate preference in the 1984 U.S. presidential election illustrates the technique.

Suggested Citation

  • Jeffrey A. Dubin & Douglas Rivers, 1989. "Selection Bias in Linear Regression, Logit and Probit Models," Sociological Methods & Research, , vol. 18(2-3), pages 360-390, November.
    • Handle: RePEc:sae:somere:v:18:y:1989:i:2-3:p:360-390
    DOI: 10.1177/0049124189018002006
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    3. Becker, Rolf, 2000. "Determinanten der Studierbereitschaft in Ostdeutschland : eine empirische Anwendung der Humankapital- und Werterwartungstheorie am Beispiel sächsicher Abiturienten in den Jahren 1996 und 1998 (Determi," Mitteilungen aus der Arbeitsmarkt- und Berufsforschung, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany], vol. 33(2), pages 261-276.
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    6. Fieger, Peter, 2013. "Using Student Outcome Survey Data for institutional performance measurement," MPRA Paper 76839, University Library of Munich, Germany.
    7. Mac an Bhaird, Ciarán, 2013. "Demand for debt and equity before and after the financial crisis," Research in International Business and Finance, Elsevier, vol. 28(C), pages 105-117.
    8. Joshua Clinton & John Lapinski, 2004. "Targeted advertising and voter turnout: An experimental study of the 2000 presidential election," Natural Field Experiments 00226, The Field Experiments Website.
    9. Birhanu, Mulugeta Yitayih & Girma, Anteneh & Puskur, Ranjitha, 2017. "Determinants of success and intensity of livestock feed technologies use in Ethiopia: Evidence from a positive deviance perspective," Technological Forecasting and Social Change, Elsevier, vol. 115(C), pages 15-25.
    10. Maria Felice Arezzo & Giuseppina Guagnano, 2018. "Response-Based Sampling for Binary Choice Models With Sample Selection," Econometrics, MDPI, vol. 6(1), pages 1-17, March.
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    13. Becker, Rolf, 2000. "Determinanten der Studierbereitschaft in Ostdeutschland : eine empirische Anwendung der Humankapital- und Werterwartungstheorie am Beispiel sächsicher Abiturienten in den Jahren 1996 und 1998 (Determi," Mitteilungen aus der Arbeitsmarkt- und Berufsforschung, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany], vol. 33(2), pages 261-276.

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