Hostname: page-component-848d4c4894-tn8tq Total loading time: 0 Render date: 2024-06-17T05:42:04.506Z Has data issue: false hasContentIssue false

Iterative Approaches to R × C Ecological Inference Problems: Where They Can Go Wrong and One Quick Fix

Published online by Cambridge University Press:  04 January 2017

Karen E. Ferree*
Affiliation:
Department of Political Science, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0521. e-mail: keferree@weber.ucsd.edu

Abstract

This article argues that a key step in King's iterative approach to R × C ecological inference problems—the aggregation of groups into broad conglomerate categories—can introduce problems of aggregation bias and multimodality into data, inducing model violations. As a result, iterative EI estimates can be considerably biased, even when the original data conform to the assumptions of the model. I demonstrate this problem intuitively and through simulations, show the conditions under which it is likely to arise, and illustrate it with the example of Coloured voting during the 1994 elections in South Africa. I then propose an easy fix to the problem, demonstrating the usefulness of the fix both through simulations and in the specific South African context.

Type
Research Article
Copyright
Copyright © Society for Political Methodology 2004 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Chandra, Kanchan. 2004. Why Ethnic Parties Succeed: Patronage and Ethnic Headcounts in India. New York: Cambridge University Press.Google Scholar
Ferree, Karen. 2002. Voters and Parties in the Rainbow Nation: Race and Elections in the New South Africa. Ph.D. thesis. Cambridge, MA: Harvard University.Google Scholar
Independent Electoral Commission. 1994. The South African Elections of April 1994. Johannesburg: IEC.Google Scholar
Johnson, R. W., and Schlemmer, Lawrence. 1996. “National Issues and National Opinion.” In Launching Democracy in South Africa: The First Open Election, April 1994, eds. Johnson, R. W. and Schlemmer, Lawrence. New Haven, CT: Yale University Press, pp. 74107.CrossRefGoogle Scholar
King, Gary. 1997. A Solution to the Ecological Inference Problem. Princeton, NJ: Princeton University Press.Google Scholar
King, Gary, Rosen, Ori, and Tanner, Martin. 1999. “Beta-Binomial Hierarchical Models for Ecological Inference.” Sociological Methods and Research 28: 6190.Google Scholar
King, Gary, Rosen, Ori, Tanner, Martin, and Wagner, Alexander F. 2003. “The Ordinary Election of Adolf Hitler: A Modern Voting Behavior Approach.” Unpublished.Google Scholar
Mattes, Robert. 1995. The Election Book: Judgement and Choice in South Africa's 1994 Election. Cape Town: Institute for Democracy in South Africa.Google Scholar
Mattes, Robert, Gilliomee, Hermann, and James, Wilmot. 1996. “The Election in the Western Cape.” In Launching Democracy in South Africa: The First Open Election, April 1994, eds. Johnson, R. W. and Schlemmer, Lawrence. New Haven, CT: Yale University Press, pp. 108167.Google Scholar
Posner, Daniel. Forthcoming. Institutions and Identities: Regime Change and Ethnic Cleavages in Africa. New York: Cambridge University Press.Google Scholar
Reynolds, Andrew. 1994. “The Results.” In Election ’94: The Campaigns, Results, and Future Prospects, ed. Reynolds, Andrew. New York: St. Martin's, pp. 182220.Google Scholar
Rosen, Ori, Jiang, Wenxin, King, Gary, and Tanner, Martin A. 2001. “Bayesian and Frequentist Inference for Ecological Inference: the R × C Case.” Statistica Neerlandica 55(2): 134156.Google Scholar
Seekings, Jeremy. 1996. “From Independence to Identification.” In Now That We Are Free: Coloured Communities in a Democratic South Africa, eds. James, Wilmot, Caliguire, Daria, and Cullinan, Kerry. Cape Town: Institute for Democracy in South Africa, pp. 2838.CrossRefGoogle Scholar
Wittenberg, Jason, and Kopstein, Jeffrey S. 2003. “Who Voted Communist? Reconsidering the Social Bases of Radicalism in Interwar Poland.” Slavic Review 62: 87109.Google Scholar