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Estimation and Inference in an Ecological Inference Model

Author

Listed:
  • Fan Yanqin

    (Department of Economics, University of Washington, Box 353330, Seattle, WA 98195, USA)

  • Sherman Robert

    (Caltech, HSS, 1200 East California Blvd., Pasadena, CA 91125, USA)

  • Shum Matthew

    (Caltech, HSS, 1200 East California Blvd., Pasadena, CA 91125, USA)

Abstract

We interpret an ecological inference model as a treatment effects model in which the outcomes of interest and the conditional covariates come from separate datasets. In this setting, the counterfactual distributions and policy parameters of interest are only partially identified under a selection on observables assumption. In this paper, we provide estimation and inference procedures for structural prediction and counterfactual analysis in such models. We also illustrate the procedures with an application to US presidential elections.

Suggested Citation

  • Fan Yanqin & Sherman Robert & Shum Matthew, 2016. "Estimation and Inference in an Ecological Inference Model," Journal of Econometric Methods, De Gruyter, vol. 5(1), pages 17-48, January.
    • Handle: RePEc:bpj:jecome:v:5:y:2016:i:1:p:17-48:n:9
    DOI: 10.1515/jem-2015-0006
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    References listed on IDEAS

    as
    1. Yanqin Fan & Robert Sherman & Matthew Shum, 2014. "Identifying Treatment Effects Under Data Combination," Econometrica, Econometric Society, vol. 82(2), pages 811-822, March.
    2. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, April.
    3. Yanqin Fan & Sang Soo Park, 2009. "Partial identification of the distribution of treatment effects and its confidence sets," Advances in Econometrics, in: Nonparametric Econometric Methods, pages 3-70, Emerald Group Publishing Limited.
    4. Fan, Yanqin & Park, Sang Soo, 2010. "Sharp Bounds On The Distribution Of Treatment Effects And Their Statistical Inference," Econometric Theory, Cambridge University Press, vol. 26(3), pages 931-951, June.
    5. Donald W. K. Andrews & Gustavo Soares, 2010. "Inference for Parameters Defined by Moment Inequalities Using Generalized Moment Selection," Econometrica, Econometric Society, vol. 78(1), pages 119-157, January.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Sarah Moon, 2024. "Partial Identification of Individual-Level Parameters Using Aggregate Data in a Nonparametric Model," Papers 2403.07236, arXiv.org, revised May 2024.
    2. D'Haultfoeuille, Xavier & Gaillac, Christophe & Maurel, Arnaud, 2022. "Partially Linear Models under Data Combination," IZA Discussion Papers 15230, Institute of Labor Economics (IZA).
    3. Pablo Lavado & Gonzalo Rivera, 2015. "Identifying treatment effects and counterfactual distributions using data combination with unobserved heterogeneity," Working Papers 15-14, Centro de Investigación, Universidad del Pacífico.
    4. Pablo Lavado & Gonzalo Rivera, 2016. "Identifying Treatment Effects with Data Combination and Unobserved Heterogeneity," Working Papers 79, Peruvian Economic Association.
    5. Pablo Lavado, "undated". "Identifying Treatment Effects and Counterfactual Distributions using Data Combination with Unobserved Heterogeneity," Working Papers 13-25, Departamento de Economía, Universidad del Pacífico.

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    More about this item

    Keywords

    Copula; ecological inference; partial identification; treatment effects;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models

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