Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-30T17:11:02.888Z Has data issue: false hasContentIssue false

Causal Inference in Conjoint Analysis: Understanding Multidimensional Choices via Stated Preference Experiments

Published online by Cambridge University Press:  04 January 2017

Jens Hainmueller
Affiliation:
Department of Political Science, Massachusetts Institute of Technology, Cambridge, MA 02139 e-mail: [email protected]
Daniel J. Hopkins
Affiliation:
Department of Government, Georgetown University, ICC 681, Washington, DC 20057 e-mail: [email protected]
Teppei Yamamoto*
Affiliation:
Department of Political Science, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139
*
e-mail: [email protected] (corresponding author)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Survey experiments are a core tool for causal inference. Yet, the design of classical survey experiments prevents them from identifying which components of a multidimensional treatment are influential. Here, we show how conjoint analysis, an experimental design yet to be widely applied in political science, enables researchers to estimate the causal effects of multiple treatment components and assess several causal hypotheses simultaneously. In conjoint analysis, respondents score a set of alternatives, where each has randomly varied attributes. Here, we undertake a formal identification analysis to integrate conjoint analysis with the potential outcomes framework for causal inference. We propose a new causal estimand and show that it can be nonparametrically identified and easily estimated from conjoint data using a fully randomized design. The analysis enables us to propose diagnostic checks for the identification assumptions. We then demonstrate the value of these techniques through empirical applications to voter decision making and attitudes toward immigrants.

Type
Research Article
Copyright
Copyright © The Author 2013. Published by Oxford University Press on behalf of the Society for Political Methodology 

Footnotes

Authors' note: We gratefully acknowledge the recommendations of Political Analysis editors Michael Alvarez and Jonathan Katz as well as the anonymous reviewers. We further thank Justin Grimmer, Kosuke Imai, and seminar participants at MIT, Harvard University, Georgetown University, and Rochester University for their helpful comments and suggestions. We are also grateful to Anton Strezhnev for excellent research assistance. An earlier version of this article was presented at the 2012 Annual Summer Meeting of the Society for Political Methodology and the 2013 Annual Meeting of the American Political Science Association. Example scripts that illustrate the estimators and companion software to embed a conjoint analysis in Web-based survey instruments are available on the authors' websites. Replication materials are available online as Hainmueller, Hopkins, and Yamamoto (2013). Supplementary materials for this article are available on the Political Analysis Web site.

References

Alexander, C. S., and Becker, H. J. 1978. The use of vignettes in survey research. Public Opinion Quarterly 42(1): 93104.CrossRefGoogle Scholar
Alves, W. M., and Rossi, P. H. 1978. Who should get what? Fairness judgments of the distribution of earnings. American Journal of Sociology 84(3): 541–64.Google Scholar
Barabas, J., and Jerit, J. 2010. Are survey experiments externally valid? American Political Science Review 104(2): 226–42.CrossRefGoogle Scholar
Bechtel, M., Hainmueller, J., and Margalit, Y. 2013. Studying public opinion on multidimensional policies: The case of the Eurozone bailouts. MIT Political Science Department Paper.CrossRefGoogle Scholar
Bechtel, M., and Scheve, K. 2013. Public support for global climate cooperation. Mimeo, Stanford University.Google Scholar
Berinsky, A. J., Huber, G. A., and Lenz, G. S. 2012. Evaluating online labor markets for experimental research: Amazon.com's Mechanical Turk. Political Analysis 20: 351–68.Google Scholar
Bettman, J. R., Luce, M. F., and Payne, J. W. 1998. Constructive consumer choice processes. Journal of Consumer Research 25(3): 187217.CrossRefGoogle Scholar
Brader, T., Valentino, N., and Suhay, E. 2008. Is it immigration or the immigrants? The emotional influence of groups on public opinion and political action. American Journal of Political Science 52(4): 959–78.Google Scholar
Campbell, A., Converse, P. E., Miller, W. E., and Stokes, D. E. 1960. The American voter. New York: Wiley.Google Scholar
Citrin, J., Green, D. P., Muste, C., and Wong, C. 1997. Public opinion toward immigration reform: The role of economic motivations. Journal of Politics 59(3): 858–81.Google Scholar
Cutler, F. 2002. The simplest shortcut of all: Sociodemographic characteristics and electoral choice. Journal of Politics 64(2): 466–90.Google Scholar
Diamond, P. A., and Hausman, J. A. 1994. Contingent valuation: Is some number better than no number? Journal of Economic Perspectives 8(4): 4564.CrossRefGoogle Scholar
Faia, M. A. 1980. The vagaries of the vignette world: A comment on Alves and Rossi. American Journal of Sociology 85(4): 951–4.Google Scholar
Gaines, B. J., Kuklinski, J. H., and Quirk, P. J. 2007. The logic of the survey experiment re-examined. Political Analysis 15(1): 120.Google Scholar
Gerber, A. S., and Green, D. P. 2012. Field experiments: design, analysis, and interpretation. New York: W. W. Norton & Company.Google Scholar
Green, P. E., Krieger, A. M., and Wind, Y. J. 2001. Thirty years of conjoint analysis: Reflections and prospects. Interfaces 31: 5673.Google Scholar
Green, D. P., Palmquist, B., and Schickler, E. 2002. Partisan hearts and minds. New Haven, CT: Yale University Press.Google Scholar
Green, P. E., and Rao, V. R. 1971. Conjoint measurement for quantifying judgmental data. Journal of Marketing Research 8: 355–63.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): 6184.Google Scholar
Hainmueller, J., and Hopkins, D. J. 2012. The hidden American immigration consensus: A conjoint analysis of attitudes toward immigrants. SSRN Working Paper.CrossRefGoogle Scholar
Hainmueller, J., Hopkins, D. J., and Yamamoto, T. 2013. Replication data for: Causal inference in conjoint analysis: Understanding multidimensional choices via stated preference experiments. hdl:1902.1/22603. The Dataverse Network.Google Scholar
Hauser, J. R. 2007. A note on conjoint analysis. MIT Sloan Courseware, Massachusetts Institute of Technology.Google Scholar
Hedström, P., and Ylikoski, P. 2010. Causal mechanisms in the social sciences. Annual Review of Sociology 36: 4967.Google Scholar
Holland, P. W. 1986. Statistics and causal inference. Journal of the American Statistical Association 81: 945–60.Google Scholar
Imai, K., Keele, L., Tingley, D., and Yamamoto, T. 2011. Unpacking the black box of causality: Learning about causal mechanisms from experimental and observational studies. American Political Science Review 105(4): 765–89.CrossRefGoogle Scholar
Jasso, G., and Rossi, P. H. 1977. Distributive justice and earned income. American Sociological Review 42(4): 639–51.Google Scholar
Luce, R. D., and Tukey, J. W. 1964. Simultaneous conjoint measurement: A new type of fundamental measurement. Journal of Mathematical Psychology 1(1): 127.CrossRefGoogle Scholar
Malhotra, N. K. 1982. Information load and consumer decision making. Journal of Consumer Research 8: 1930.Google Scholar
McFadden, D. L. 1974. Conditional logit analysis of qualitative choice behavior. In Frontiers in econometrics, ed. Zarembka, P., 105–42. New York: Academic Press.Google Scholar
Mendelberg, T. 2001. The race card: Campaign strategy, implicit messages, and the norm of equality. Princeton, NJ: Princeton University Press.CrossRefGoogle Scholar
Neyman, J. 1923. On the application of probability theory to agricultural experiments: Essay on principles, section 9. (translated in 1990). Statistical Science 5: 465–80.Google Scholar
Raghavarao, D., Wiley, J. B., and Chitturi, P. 2011. Choice-based conjoint analysis: Models and designs. Boca Raton, FL: CRC Press.Google Scholar
Rossi, P. H. 1979. Vignette analysis: Uncovering the normative structure of complex judgments. In Qualitative and Quantitative Social Research: Papers in Honor of Paul F. Lazarsfeld, eds. Merton, Robert K., et al. New York: Free Press.Google Scholar
Rossi, P. H., and Alves, W. M. 1980. Rejoinder to Faia. American Journal of Sociology 85(4): 954–5.Google Scholar
Rubin, D. B. 1974. Estimating causal effects of treatments in randomized and nonrandomized studies. Journal of Educational Psychology 66(5): 688701.CrossRefGoogle Scholar
Rubin, D. B. 1980. Comments on “Randomization analysis of experimental data: The Fisher randomization test” by D. Basu. Journal of the American Statistical Association 75: 591–93.Google Scholar
Sawtooth Software Inc. 2008. The CBC system for choice-based conjoint analysis. Sawtooth Software Technical Paper Series. https://sawtoothsoftware.com/download/techpap/cbctech.pdf (accessed December 6, 2013).Google Scholar
Scheve, K., and Slaughter, M. 2001. Labor market competition and individual preferences over immigration policy. Review of Economics and Statistics 83(1): 133–45.Google Scholar
Schildkraut, D. 2011. Americanism in the twenty-first century: Public opinion in the age of immigration. New York: Cambridge University Press.Google Scholar
Schulte, A. 2002. Consensus versus disagreement in disease-related stigma: A comparison of reactions to AIDS and cancer patients. Sociological Perspectives 45(1): 81104.CrossRefGoogle Scholar
Schuman, H., and Bobo, L. 1988. Survey-based experiments on white racial attitudes toward residential integration. American Journal of Sociology 94: 273–99.CrossRefGoogle Scholar
Sniderman, P. M. 2011. The logic and design of the survey experiment. In Cambridge Handbook of Experimental Political Science, eds. Druckman, James et al. New York: Cambridge University Press.Google Scholar
Sniderman, P., and Carmines, E. 1997. Reaching beyond race. Cambridge, MA: Harvard University Press.Google Scholar
Sniderman, P. M., and Grob, D. B. 1996. Innovations in experimental design in attitude surveys. Annual Review of Sociology 22: 377–99.Google Scholar
Strezhnev, A., Hainmueller, J., Hopkins, D. J., and Yamamoto, T. 2013. Conjoint SDT. http://scholar.harvard.edu/astrezhnev/conjoint-survey-design-tool (accessed December 6, 2013).Google Scholar
VanderWeele, T. J., and Robins, J. M. 2009. Minimal sufficient causation and directed acyclic graphs. Annals of Statistics 37(3): 1437–465.CrossRefGoogle Scholar
Verlegh, P. W., Schifferstein, H. N., and Wittink, D. R. 2002. Range and number-of-levels effects in derived and stated measures of attribute importance. Marketing Letters 13(1): 4152.CrossRefGoogle Scholar
Wallander, L. 2009. 25 years of factorial surveys in sociology: A review. Social Science Research 38: 505–20.Google Scholar
Wong, C. J. 2010. Boundaries of obligation in American politics: Geographic, national, and racial communities. New York: Cambridge University Press.Google Scholar
Wright, M., and Citrin, J. 2011. Saved by the stars and stripes? Images of protest, salience of threat, and immigration attitudes. American Politics Research 39(2): 323–43.Google Scholar
Wright, M., Levy, M., and Citrin, J. 2013. Who should be allowed to stay? American public opinion on legal status for illegal immigrants. Working paper, American University.Google Scholar
Supplementary material: PDF

Hainmueller et al. supplementary material

Supplemental Information

Download Hainmueller et al. supplementary material(PDF)
PDF 241.6 KB