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Selection Bias Corrections Based on the Multinomial Logit Model: Monte-Carlo Comparisons

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  • François Bourguignon
  • Martin Fournier
  • Marc Gurgand

Abstract

This survey presents the set of methods available in the literature on selection bias correction, when selection is specified as a multinomial logit model. It contrasts the underlying assumptions made by the different methods and shows results from a set of Monte-Carlo experiments. We find that, in many cases, the approach initiated by Dubin and MacFadden (1984) is to be preferred to the most commonly used Lee (1984) method, as well as to the semi-parametric alternative method recently proposed by Dahl (2002), even in the presence of high non-linearity in the selection term. Monte-Carlo experiments also show that selection bias correction based on the multinomial logit model can provide fairly good correction for the outcome equation, even when the IIA hypothesis is violated.

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  • François Bourguignon & Martin Fournier & Marc Gurgand, 2004. "Selection Bias Corrections Based on the Multinomial Logit Model: Monte-Carlo Comparisons," DELTA Working Papers 2004-20, DELTA (Ecole normale supérieure).
    • Handle: RePEc:del:abcdef:2004-20
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    References listed on IDEAS

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    1. Lee, Lung-Fei, 1983. "Generalized Econometric Models with Selectivity," Econometrica, Econometric Society, vol. 51(2), pages 507-512, March.
    2. Lung-Fei Lee, 1982. "Some Approaches to the Correction of Selectivity Bias," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(3), pages 355-372.
    3. James Heckman, 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.
    4. Gordon B. Dahl, 2002. "Mobility and the Return to Education: Testing a Roy Model with Multiple Markets," Econometrica, Econometric Society, vol. 70(6), pages 2367-2420, November.
    5. Dubin, Jeffrey A & McFadden, Daniel L, 1984. "An Econometric Analysis of Residential Electric Appliance Holdings and Consumption," Econometrica, Econometric Society, vol. 52(2), pages 345-362, March.
    6. Schmertmann, Carl P., 1994. "Selectivity bias correction methods in polychotomous sample selection models," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 101-132.
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