Cultural Consensus Theory for the Ordinal Data Case

Royce Anders () and William Batchelder

Psychometrika, 2015, vol. 80, issue 1, 181 pages

Abstract: A Cultural Consensus Theory approach for ordinal data is developed, leading to a new model for ordered polytomous data. The model introduces a novel way of measuring response biases and also measures consensus item values, a consensus response scale, item difficulty, and informant knowledge. The model is extended as a finite mixture model to fit both simulated and real multicultural data, in which subgroups of informants have different sets of consensus item values. The extension is thus a form of model-based clustering for ordinal data. The hierarchical Bayesian framework is utilized for inference, and two posterior predictive checks are developed to verify the central assumptions of the model. Copyright The Psychometric Society 2015

Keywords: cultural consensus theory; latent class models; latent trait models; rater models; ordinal data; signal detection theory; mixture modeling; clustering (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s11336-013-9382-9

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