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1 results

  • Bayesian Estimation of Circumplex Models Subject to Prior Theory Constraints and Scale-Usage Bias

  • Peter Lenk, Michel Wedel, Ulf Böckenholt
  • Journal:
    Psychometrika / Volume 71 / Issue 1 / March 2006
    Published online by Cambridge University Press:
    01 January 2025, pp. 33-55

  • This paper presents a hierarchical Bayes circumplex model for ordinal ratings data. The circumplex model was proposed to represent the circular ordering of items in psychological testing by imposing inequalities on the correlations of the items. We provide a specification of the circumplex, propose identifying constraints and conjugate priors for the angular parameters, and accommodate theory-driven constraints in the form of inequalities. We investigate the performance of the proposed MCMC algorithm and apply the model to the analysis of value priorities data obtained from a representative sample of Dutch citizens.