Cultural consensus theory: aggregating continuous responses in a finite interval

  • Authors:

  • William H. Batchelder;Alex Strashny;A. Kimball Romney

  • Affiliations:

  • Institute for Mathematical Behavioral Sciences, School of Social Sciences, University of California, Irvine, CA;Institute for Mathematical Behavioral Sciences, School of Social Sciences, University of California, Irvine, CA;Institute for Mathematical Behavioral Sciences, School of Social Sciences, University of California, Irvine, CA

  • Venue:
  • SBP'10 Proceedings of the Third international conference on Social Computing, Behavioral Modeling, and Prediction
  • Year:
  • 2010

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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.