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Understanding the multinomial-Poisson transformation

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  • Paulo Guimaraes

    (Medical University of South Carolina)

Abstract

There is a known connection between the multinomial and the Poisson likelihoods. This, in turn, means that a Poisson regression may be transformed into a logit model and vice versa. In this paper, I show the data transformations required to implement this transformation. Several examples are used as illustrations. Copyright 2004 by StataCorp LP.

Suggested Citation

  • Paulo Guimaraes, 2004. "Understanding the multinomial-Poisson transformation," Stata Journal, StataCorp LP, vol. 4(3), pages 265-273, September.
    • Handle: RePEc:tsj:stataj:v:4:y:2004:i:3:p:265-273
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    References listed on IDEAS

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    1. Hausman, Jerry & Hall, Bronwyn H & Griliches, Zvi, 1984. "Econometric Models for Count Data with an Application to the Patents-R&D Relationship," Econometrica, Econometric Society, vol. 52(4), pages 909-938, July.
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    Cited by:

    1. Paulo Guimarães & Pedro Portugal, 2009. "A Simple Feasible Alternative Procedure to Estimate Models with High-Dimensional Fixed Effects," Working Papers w200909, Banco de Portugal, Economics and Research Department.
    2. Hugh Gravelle & Giuseppe Moscelli & Rita Santos & Luigi Siciliani, 2014. "Patient choice and the effects of hospital market structure on mortality for AMI, hip fracture and stroke patients," Working Papers 106cherp, Centre for Health Economics, University of York.
    3. Paulo Guimarães, 2005. "A simple approach to fit the beta-binomial model," Stata Journal, StataCorp LP, vol. 5(3), pages 385-394, September.
    4. Moscelli, Giuseppe & Gravelle, Hugh & Siciliani, Luigi, 2023. "The effect of hospital choice and competition on inequalities in waiting times," Journal of Economic Behavior & Organization, Elsevier, vol. 205(C), pages 169-201.

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