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Ecological Fallacy and Covariates: New Insights based on Multilevel Modelling of Individual Data

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  • Michela Gnaldi
  • Venera Tomaselli
  • Antonio Forcina

Abstract

The paper provides a new and more explicit formulation of the assumptions needed by the ordinary ecological regression to provide unbiased estimates and clarifies why violations of these assumptions will affect any method of ecological inference. Empirical evidence is obtained by showing that estimates provided by three main ecological inference methods are heavily biased when compared with multilevel logistic regression applied to a unique set of individual data on voting behaviour. The main findings of our paper have two important implications that can be extended to all situations where the assumptions needed to apply ecological inference are violated in the data: (i) only ecological inference methods that allow one to model the effect of covariates have a chance to produce unbiased estimates, and (ii) there are certain data generating mechanisms producing a kind of bias in ecological estimates that cannot be corrected by modelling the effect of covariates.

Suggested Citation

  • Michela Gnaldi & Venera Tomaselli & Antonio Forcina, 2018. "Ecological Fallacy and Covariates: New Insights based on Multilevel Modelling of Individual Data," International Statistical Review, International Statistical Institute, vol. 86(1), pages 119-135, April.
  • Handle: RePEc:bla:istatr:v:86:y:2018:i:1:p:119-135
    DOI: 10.1111/insr.12244
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    Cited by:

    1. Herger, Nils, 2020. "On the ecological fallacy in discrete-choice models," Journal of choice modelling, Elsevier, vol. 34(C).
    2. Antonio Forcina & Davide Pellegrino, 2019. "Estimation of voter transitions and the ecological fallacy," Quality & Quantity: International Journal of Methodology, Springer, vol. 53(4), pages 1859-1874, July.
    3. Giulio Giacomo Cantone & Venera Tomaselli, 2022. "On null models for contagion effects in multidimensional networks," RIEDS - Rivista Italiana di Economia, Demografia e Statistica - The Italian Journal of Economic, Demographic and Statistical Studies, SIEDS Societa' Italiana di Economia Demografia e Statistica, vol. 76(2), pages 4-12, April-Jun.

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