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Goodness-of-Fit Tests and Descriptive Measures in Fuzzy-Set Analysis

Author

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  • Scott R. Eliason

    (University of Arizona, Tuscon, seliason@email.arizona.edu)

  • Robin Stryker

    (University of Arizona, Tuscon)

Abstract

In this article the authors develop goodness-of-fit tests for fuzzy-set analyses to formally assess the fit between empirical information and various causal hypotheses while accounting for measurement error in membership scores. These goodness-of-fit tests, and the accompanying logic, provide a sound inferential foundation for fuzzy-set methodology. The authors also develop descriptive measures to complement these tests. Examples from Stryker and Eliason (2003) and Mahoney (2003) show how goodness-of-fit tests and descriptive measures may be used to assess individual causal factors as well as conjunctions of factors. The authors show how these tools provide more information in a fuzzy-set analysis than do tests currently in use. In providing this inferential foundation, the authors also show that fuzzy-set methods (a) are no less amenable to falsificationist methods of the Neyman-Pearson type than are standard statistical techniques and (b) may be usefully applied in either an exploratory/inductive or a confirmatory/deductive research design.

Suggested Citation

  • Scott R. Eliason & Robin Stryker, 2009. "Goodness-of-Fit Tests and Descriptive Measures in Fuzzy-Set Analysis," Sociological Methods & Research, , vol. 38(1), pages 102-146, August.
    • Handle: RePEc:sae:somere:v:38:y:2009:i:1:p:102-146
    DOI: 10.1177/0049124109339371
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    References listed on IDEAS

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    1. Arfi, Badredine, 2005. "Fuzzy Decision Making in Politics: A Linguistic Fuzzy-Set Approach (LFSA)," Political Analysis, Cambridge University Press, vol. 13(1), pages 23-56, January.
    2. Western, Bruce & Jackman, Simon, 1994. "Bayesian Inference for Comparative Research," American Political Science Review, Cambridge University Press, vol. 88(2), pages 412-423, June.
    3. Ragin, Charles C., 2000. "Fuzzy-Set Social Science," University of Chicago Press Economics Books, University of Chicago Press, edition 1, number 9780226702773, October.
    4. Ragin, Charles C., 2006. "Set Relations in Social Research: Evaluating Their Consistency and Coverage," Political Analysis, Cambridge University Press, vol. 14(3), pages 291-310, July.
    5. repec:ucp:bkecon:9780226702766 is not listed on IDEAS
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    Cited by:

    1. Johannes Meuer & Christian Rupietta, 2017. "A review of integrated QCA and statistical analyses," Quality & Quantity: International Journal of Methodology, Springer, vol. 51(5), pages 2063-2083, September.

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