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A Mixture Model for Middle Category Inflation in Ordered Survey Responses

Published online by Cambridge University Press:  04 January 2017

Benjamin E. Bagozzi  and
Bumba Mukherjee
Benjamin E. Bagozzi*
Affiliation:
Department of Political Science, Penn State University, University Park, PA 16802
Bumba Mukherjee
Affiliation:
Department of Political Science, Penn State University, University Park, PA 16802. e-mail: [email protected]
*
e-mail: [email protected] (corresponding author)
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Abstract

Recent research finds that, for social desirability reasons, uninformed individuals disproportionately give “neither agree nor disagree” type responses to survey attitude questions, even when a “do not know” option is available. Such “face-saving” responses inflate the indifference (i.e., middle) categories of ordered attitude variables with nonordered responses. When such inflation occurs within the middle category of one's ordered dependent variable, estimates from ordered probit (and ordered logit) models are likely to be unreliable and inefficient. This article develops a set of mixture models that estimate and account for the presence of “face-saving” responses in middle categories of ordered survey response variables, and applies these models to (1) simulated data and (2) a commonly studied survey question measuring attitudes toward European Union (EU) membership among individuals in EU-candidate countries. Results from the survey data set and the Monte Carlo experiments suggest that, when middle category inflation is present in one's ordered dependent variable, the estimates obtained from middle category mixture models are less biased than—and in some cases substantively distinct from—the estimates obtained from “naive” ordered probit models.

Type
Research Article
Information
Political Analysis , Volume 20 , Issue 3 , Summer 2012 , pp. 369 - 386
Copyright
Copyright © The Author 2012. Published by Oxford University Press on behalf of the Society for Political Methodology 

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Footnotes

Authors' note: An earlier version of this article was presented as a poster at the 2011 Political Methodology Meeting. The authors wish to acknowledge the valuable suggestions that they received from the editor and reviewers of Political Analysis, Chris Zorn, Phil Schrodt, Will H. Moore, Daniel W. Hill, Eric Plutzer, John Freeman, Robert J. Franzese Jr., and the 2011 Political Methodology meeting attendees. This work was supported by the Pennsylvania State University's College of Liberal Arts under the Forrest Crawford Graduate Scholarship. Replication materials can be found at Bagozzi and Mukherjee (2012). Supplementary Materials for this article are available on the Political Analysis Web site.

References

Alvarez, R. M., and Franklin, C. H. 1994a. Attitudes, uncertainty and survey responses. Working paper, Cal Tech.Google Scholar
Alvarez, R. M., and Franklin, C. H. 1994b. Uncertainties and political perceptions. Journal of Politics 56(3): 678–88.Google Scholar
Arceneaux, K., and Kolodny, R. 2009. Educating the least informed: Group endorsements in a grassroots campaign. American Journal of Political Science 53(4): 755–70.Google Scholar
Bagozzi, B. E., and Mukherjee, B. 2012. Replication data for: A mixture model for middle-category inflation in ordered survey responses. IQSS Dataverse Network: http://hdl.handle.net/1902.1/18183 (last accessed 20 June 2012).CrossRefGoogle Scholar
Barabas, J. 2002. Another look at the measurement of political knowledge. Political Analysis 10(2): 1–14.Google Scholar
Berinsky, A. J. 2002. Political context and the survey response: The dynamics of racial policy opinion. Journal of Politics 64(2): 567–84.Google Scholar
Bound, J., Brown, C., and Mathiowetz, N. 2001. Measurement error in survey data. In Handbook of Econometrics, eds. Heckman, J. J. and Leamer, E. E., 3705–843. Oxford, UK: Elsevier.Google Scholar
Brady, H. E., and Sniderman, P. M. 1991. The likability heuristic. In Reasoning and choice: Explorations in political psychology, eds. Sniderman, P. M., Brody, R. A., and Tetlock, P. E. Cambridge, UK: Cambridge University Press.Google Scholar
Burden, B. C. 2000. Voter turnout and the national election studies. Political Analysis 8(4): 389–98.Google Scholar
Burger, M., van Oort, F., and Linders, G.-J. 2009. On the specification of the gravity model of trade: Zeros, excess zeros, and zero-inflated estimation. Spatial Economic Analysis 4(2): 167–90.Google Scholar
Carey, S. 2002. Undivided loyalties: Is national identity an obstacle to European integration? European Union Politics 3(4): 387–413.CrossRefGoogle Scholar
Christin, T. 2005. Economic and political basis of attitudes toward the EU in Central and East European countries in the 1990s. European Union Politics 6(1): 29–57.Google Scholar
Delli Carpini, M. X., and Keeter, S. 1997. What do Americans know about politics and why it matters. New Haven, CT: Yale University Press.Google Scholar
Elgün, O., and Tillman, E. R. 2007. Exposure to European Union policies and support for membership in the candidate countries. Political Research Quarterly 60(3): 391–400.CrossRefGoogle Scholar
European Commission. 2002a, Spring. Eurobarameter 57: Eu 15 report. 50.Google Scholar
European Commission. 2002b, September-October 2002. Candidate countries Eurobarometer 2002.22.Google Scholar
Ferber, R. 1956. The effect of respondent ignorance on survey results. Journal of the American Statistical Association 51(276): 576–86.Google Scholar
Fiske, S. T., Lau, R. R., and Smith, R. A. 1990. On the varieties and utilities of political expertise. Social Cognition 8: 31–48.Google Scholar
Gabel, M. 1998. Public support for European integration: An empirical test of five theories. Journal of Politics 60(2): 333–54.Google Scholar
Gerber, A. S., and Huber, G. A. 2010. Partisanship, political control, and economic assessments. American Journal of Political Science 54(1): 153–73.Google Scholar
Gerber, A. S., Huber, G. A., Doherty, D., Dowling, C. M., and Ha, S. E. 2010. Personality and political attitudes: Relationships across issue domains and political contexts. American Political Science Review 104(1): 111–33.Google Scholar
Hainmueller, J., and Hiscox, M. J. 2010. Attitudes toward highly skilled and low-skilled immigration: Evidence from a survey experiment. American Political Science Review 104(1): 61–84.Google Scholar
Harris, M. N., and Zhao, X. 2007. A zero-inflated ordered probit model, with an application to modeling tobacco consumption. Journal of Econometrics 141(2): 1073–99.Google Scholar
Heckman, J. J. 1979. Sample selection bias as a specification error. Econometrica 47(1): 153–61.Google Scholar
Heckman, J. J., and Sedlacek, G. L. 1990. Self-selection and the distribution of hourly wages. Journal of Labor Economics 8(1): 329–63.CrossRefGoogle Scholar
Hooghe, L., and Marks, G. 2005. Calculation, community, and cues: Public opinion on European integration. European Union Politics 6(4): 419–43.CrossRefGoogle Scholar
Imai, K., and Tingley, D. 2012. A statistical method for empirical testing of competing theories. American Journal of Political Science 56(1): 218–36.CrossRefGoogle Scholar
Inglehart, R. 1970. Cognitive mobilization and European identity. Comparative Politics 3(1): 45–70.Google Scholar
Jackson, J. E. 1993. Attitudes, no opinions, and guesses. Political Analysis 5(1): 39–60.Google Scholar
Karp, J. A., Banducci, S. A., and Bowler, S. 2003. To know it is to love it? Satisfaction with democracy in the European Union. Comparative Political Studies 36(3): 271–91.Google Scholar
Katz, J. N., and Katz, G. 2010. Correcting for survey misreports using auxiliary information with an application to estimating turnout. American Journal of Political Science 54(3): 175–93.Google Scholar
Kuklinski, J. H., Quirk, P. J., Jerit, J., Schwieder, D., and Rich, R. F. 2000. Misinformation and the currency of citizenship. Journal of Politics 62(3): 790–816.CrossRefGoogle Scholar
Mondak, J. J. 2000. Reconsidering the measurement of political knowledge. Political Analysis 8(1): 57–82.Google Scholar
Mondak, J. J., and Anderson, M. R. 2004. The knowledge gap: A reexamination of gender-based differences in political knowledge. Journal of Politics 66(2): 492–512.Google Scholar
Mondak, J. J., and Creel Davis, B. 2001. Asked and answered: Knowledge levels when we won't take “don't know” for an answer. Political Behavior 23(1): 199–224.Google Scholar
Nelsen, B. F., and Guth, J. L. 2000. Exploring the gender gap: Women, men, and public attitudes toward European integration. European Union Politics 1(3): 267–91.Google Scholar
Pridham, G. 2000. EU accession and domestic politics: Policy consensus and interactive dynamics in Central and Eastern Europe. Journal of Development Economics 1(1): 49–74.Google Scholar
Richey, S. 2010. The impact of anti-assimilationist beliefs on attitudes toward immigration. International Studies Quarterly 54(1): 197–212.Google Scholar
Rohrschneider, R. 1990. The roots of public opinion toward new social movements: An empirical test of competing explanations. American Journal of Political Science 34(1): 1–30.Google Scholar
Rohrschneider, R. 2002. The democracy deficit and mass support for an EU-wide government. American Journal of Political Science 46(2): 463–75.Google Scholar
Sturgis, P., Roberts, C., and Smith, P. 2010. Middle alternatives revisited: How the neither/nor response acts as a “face-saving” way of saying “I don't know.” Working papers, Southampton Statistical Sciences Research Institute Methodology.Google Scholar
Tucker, J. A., Pacek, A. C., and Berinsky, A. J. 2002. Transitional winners and losers: Attitudes toward EU membership in post-Communist countries. American Journal of Political Science 46(3): 557–71.CrossRefGoogle Scholar
Vuong, Q. H. 1989. Likelihood ratio tests for model selection and non-nested hypotheses. Econometrica 57(2): 307–33.Google Scholar
Winkelman, R. 1998. Count data models with selectivity. Econometric Reviews 17(4): 339–59.Google Scholar
Xiang, J. 2010. Relevance as a latent variable in dyadic analysis of conflict. Journal of Politics 72(2): 484–98.Google Scholar
Zaller, J. 1992. The nature and origins of mass opinion. Cambridge, MA: Cambridge University Press.Google Scholar
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Appendix

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