caa a22 4500 60624185X CHVBK 20210128101315.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s11336-013-9382-9 doi (NATIONALLICENCE)springer-10.1007/s11336-013-9382-9 Cultural Consensus Theory for the Ordinal Data Case [Elektronische Daten] [Royce Anders, William Batchelder] 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. The Psychometric Society, 2013 cultural consensus theory nationallicence latent class models nationallicence latent trait models nationallicence rater models nationallicence ordinal data nationallicence signal detection theory nationallicence mixture modeling nationallicence clustering nationallicence Anders Royce University of California, Irvine, USA aut Batchelder William University of California, Irvine, USA aut Psychometrika Springer US; http://www.springer-ny.com 80/1(2015-03-01), 151-181 0033-3123 80:1<151 2015 80 11336 https://doi.org/10.1007/s11336-013-9382-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11336-013-9382-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Anders Royce University of California, Irvine, USA aut NATIONALLICENCE 700 1- Batchelder William University of California, Irvine, USA aut NATIONALLICENCE 773 0- Psychometrika Springer US; http://www.springer-ny.com 80/1(2015-03-01), 151-181 0033-3123 80:1<151 2015 80 11336