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A Reply to Zax's (2002) Critique of Grofman and Migalski (1988)

Author

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  • Bernard Grofman

    (University of California, Irvine, bgrofman@uci.edu)

  • Matt A. Barreto

    (University of Washington)

Abstract

The authors reply to Zax's critique of the double-equation method for ecological regression and of the specific extension to it proposed by Grofman and Migalski. Although Zax does correct two minor errors in Grofman and Migalski's statement of the double-equation approach, neither of those errors affected the final calculations reported in their article. Furthermore, nothing Zax reports affects their fundamental conclusion that double-equation methods can be superior to single-equation techniques if there is substantial error in the measurement of the independent variable. In particular, by analyzing an election for which, from exit polls, the ``true'' parameters of Hispanic and non-Hispanic levels of political cohesion are known, the authors show that double-equation ecological regression estimates derived from registration data are highly accurate in reproducing the true individual-level behavioral parameters (group means).

Suggested Citation

  • Bernard Grofman & Matt A. Barreto, 2009. "A Reply to Zax's (2002) Critique of Grofman and Migalski (1988)," Sociological Methods & Research, , vol. 37(4), pages 599-617, May.
    • Handle: RePEc:sae:somere:v:37:y:2009:i:4:p:599-617
    DOI: 10.1177/0049124109334794
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    References listed on IDEAS

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    1. Baodong Liu, 2001. "The Positive Effect of Black Density on White Crossover Voting: Reconsidering Social Interaction Theory," Social Science Quarterly, Southwestern Social Science Association, vol. 82(3), pages 602-615, September.
    2. Wendy K. Tam Cho & Brian J. Gaines, 2004. "The Limits of Ecological Inference: The Case of Split‐Ticket Voting," American Journal of Political Science, John Wiley & Sons, vol. 48(1), pages 152-171, January.
    3. Andrew Gelman & David K. Park & Stephen Ansolabehere & Phillip N. Price & Lorraine C. Minnite, 2001. "Models, assumptions and model checking in ecological regressions," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 164(1), pages 101-118.
    4. Jeffrey S. Zax, 2002. "Comment on “Estimating the Extent of Racially Polarized Voting in Multicandidate Contests†by Bernard Grofman and Michael Migalski," Sociological Methods & Research, , vol. 31(1), pages 75-86, August.
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