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Relation Between EBA and Nested Logit Models

Author

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  • Rajeev Kohli

    (Graduate School of Business, Columbia University, New York, New York 10027)

  • Kamel Jedidi

    (Graduate School of Business, Columbia University, New York, New York 10027)

Abstract

We show that elimination by aspects (EBA) generalizes nested logit and cross-nested logit models. The latter two models are equivalent to a special case of EBA called preference trees. The transformations between preference trees and nested logit models become more complex when the utilities of alternatives are functions of covariates. In this case, a simple model in one domain corresponds to a complex model in the other. An extended EBA model, in which the utilities of alternatives are functions of covariates, represents a two-stage choice process. Alternatives are first screened using a probabilistic lexicographic rule and then compared in terms of their compensatory utilities. We provide a typology of the relations between EBA and other logit models, and we discuss issues concerning estimation, statistical testing, and data collection. We describe an application illustrating (1) the process of constructing a preference tree with covariates and (2) the different implications obtained from a preference tree and a comparable nested logit model.

Suggested Citation

  • Rajeev Kohli & Kamel Jedidi, 2017. "Relation Between EBA and Nested Logit Models," Operations Research, INFORMS, vol. 65(3), pages 621-634, June.
    • Handle: RePEc:inm:oropre:v:65:y:2017:i:3:p:621-634
    DOI: 10.1287/opre.2016.1580
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    References listed on IDEAS

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    1. Hensher, David A. & Greene, William H., 2002. "Specification and estimation of the nested logit model: alternative normalisations," Transportation Research Part B: Methodological, Elsevier, vol. 36(1), pages 1-17, January.
    2. Papola, Andrea, 2004. "Some developments on the cross-nested logit model," Transportation Research Part B: Methodological, Elsevier, vol. 38(9), pages 833-851, November.
    3. Louviere,Jordan J. & Hensher,David A. & Swait,Joffre D. With contributions by-Name:Adamowicz,Wiktor, 2000. "Stated Choice Methods," Cambridge Books, Cambridge University Press, number 9780521788304.
    4. Wen, Chieh-Hua & Koppelman, Frank S., 2001. "The generalized nested logit model," Transportation Research Part B: Methodological, Elsevier, vol. 35(7), pages 627-641, August.
    5. Beggs, S. & Cardell, S. & Hausman, J., 1981. "Assessing the potential demand for electric cars," Journal of Econometrics, Elsevier, vol. 17(1), pages 1-19, September.
    6. Michel Bierlaire, 2006. "A theoretical analysis of the cross-nested logit model," Annals of Operations Research, Springer, vol. 144(1), pages 287-300, April.
    7. Rajeev Kohli & Kamel Jedidi, 2015. "Error Theory for Elimination by Aspects," Operations Research, INFORMS, vol. 63(3), pages 512-526, June.
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    Cited by:

    1. Marley, A.A.J. & Swait, J., 2017. "Goal-based models for discrete choice analysis," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 72-88.
    2. Kim, Youngju & Hardt, Nino & Kim, Jaehwan & Allenby, Greg M., 2022. "Conjunctive screening in models of multiple discreteness," International Journal of Research in Marketing, Elsevier, vol. 39(4), pages 1209-1234.

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