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Cultural Consensus Theory: Aggregating Continuous Responses in a Finite Interval

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Advances in Social Computing (SBP 2010)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 6007))

Abstract

Cultural consensus theory (CCT) consists of cognitive models for aggregating responses of “informants” to test items about some domain of their shared cultural knowledge. This paper develops a CCT model for items requiring bounded numerical responses, e.g. probability estimates, confidence judgments, or similarity judgments. The model assumes that each item generates a latent random representation in each informant, with mean equal to the consensus answer and variance depending jointly on the informant and the location of the consensus answer. The manifest responses may reflect biases of the informants. Markov Chain Monte Carlo (MCMC) methods were used to estimate the model, and simulation studies validated the approach. The model was applied to an existing cross-cultural dataset involving native Japanese and English speakers judging the similarity of emotion terms. The results sharpened earlier studies that showed that both cultures appear to have very similar cognitive representations of emotion terms.

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References

  1. Ariely, D., Au, W.T., Bender, R.H., Budescu, D.V., Diez, C.B., Gu, H., Wallsten, T.S., Zauberman, G.: The Effects of Averaging Subjective Probability Estimates Between and Within Judges. J. Exp. Psychol-Appl. 6, 130–147 (2000)

    Article  Google Scholar 

  2. Wallsten, T.S., Diederich, A.: Understanding Pooled Subjective Probability Estimates. Math. Soc. Sci. 41, 1–18 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  3. Johnson, V.E., Albert, J.H.: Ordinal Data Analysis. Springer, New York (1999)

    Google Scholar 

  4. Patz, R.J., Junker, B.W., Johnson, M.S., Mariano, L.T.: The Hierarchical Rater Model for Rated Test Items and its Application to Large-scale Educational Assessment Data. J. Educ. Behav. Stat. 27, 341–384 (2002)

    Article  Google Scholar 

  5. Batchelder, W.H.: Cultural Consensus Theory: Aggregating Expert Judgments About Ties in a Social Network. In: Liu, H., Salarno, J., Young, M.J. (eds.) Social Computing, Behavioral Modeling, and Prediction, pp. 24–32. Springer, New York (2009)

    Google Scholar 

  6. Romney, A.K., Batchelder, W.H.: Cultural Consensus Theory. In: Wilson, R., Keil, F. (eds.) The MIT Encyclopedia of the Cognitive Sciences, pp. 208–209. The MIT Press, Cambridge (1999)

    Google Scholar 

  7. Shepard, R.N.: Psychological Relations and Psychological Scales: On the Status of “Direct” Psychological Measurement. J. Math. Psychol. 24, 21–57 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  8. Lord, F.M., Novick, M.R.: Statistical Theory of Mental Test Scores. Addison-Wesley, Reading (1968)

    Google Scholar 

  9. de Casteljau, P.: Courbes et Surfaces a Poles. Technical report, A. Citroen, Paris (1963)

    Google Scholar 

  10. Bezier, P.: Essay de Definition Numerique des Courbes et des Surfaces Experimentales. Ph.D. Thesis, University of Paris VI (1977)

    Google Scholar 

  11. Hogg, R.V., Craig, A.T.: Introduction to Mathematical Statistics. Macmillan, New York (1978)

    Google Scholar 

  12. Karabatsos, G., Batchelder, W.H.: Markov Chain Estimation Theory Methods for Test Theory Without an Answer Key. Psychometrika 68, 373–389 (2003)

    Article  MathSciNet  Google Scholar 

  13. Carlin, B.P., Lewis, T.A.: Bayes and Empirical Bayes Methods for Data Analysis. Chapman & Hall/CRC, Boca Raton (1998)

    Google Scholar 

  14. Patz, R.J., Junker, B.W.: Applications and Extensions of MCMC in IRT: Multiple Item Types, Missing data, and Rated Responses. J. Educ. Behav. Stat. 24, 342–366 (1999a)

    Google Scholar 

  15. Patz, R.J., Junker, B.W.: A Straightforward Approach to Markov Chain Monte Carlo Methods for Item Response Models. J. Educ. Behav. Stat. 24, 146–178 (1999b)

    Google Scholar 

  16. Romney, A.K., Moore, C.C., Rusch, C.D.: Cultural Universals: Measuring the Semantic Structure of Emotion Terms in English and Japanese. P. Natl. A. Sci. USA. 94, 5489–5494 (1997)

    Article  Google Scholar 

  17. Romney, A.K., Moore, C.C., Batchelder, W.H., Hsia, T.: Statistical Methods for Characterizing Similarities and Differences Between Semantic Structures. P. Natl. A. Sci. USA. 97, 518–523 (2000)

    Article  Google Scholar 

  18. Romney, A.K., Moore, C.C., Brazill, T.J.: Correspondence Analysis as a Multidimensional Scaling Technique for Non-frequency Similarity Matrices. In: Blasius, J., Greenacre, M.J. (eds.) Visualization of Categorical Data, pp. 529–546. Academic Press, New York (1998)

    Google Scholar 

  19. Kumbasar, E., Romney, A.K., Batchelder, W.H.: Systematic biases in social perception. Am. J. Sociol. 100, 477–505 (1994)

    Article  Google Scholar 

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Batchelder, W.H., Strashny, A., Romney, A.K. (2010). Cultural Consensus Theory: Aggregating Continuous Responses in a Finite Interval. In: Chai, SK., Salerno, J.J., Mabry, P.L. (eds) Advances in Social Computing. SBP 2010. Lecture Notes in Computer Science, vol 6007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12079-4_15

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  • DOI: https://doi.org/10.1007/978-3-642-12079-4_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12078-7

  • Online ISBN: 978-3-642-12079-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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