Factor copula models for item response data

Nikoloulopoulos, Aristidis K ORCID: https://orcid.org/0000-0003-0853-0084 and Joe, H (2015) Factor copula models for item response data. Psychometrika, 80 (1). pp. 126-150. ISSN 0033-3123

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Abstract

Factor or conditional independence models based on copulas are proposed for multivariate discrete data such as item responses. The factor copula models have interpretations of latent maxima/minima (in comparison with latent means) and can lead to more probability in the joint upper or lower tail compared with factor models based on the discretized multivariate normal distribution (or multidimensional normal ogive model). Details on maximum likelihood estimation of parameters for the factor copula model are given, as well as analysis of the behavior of the log-likelihood. Our general methodology is illustrated with several item response data sets, and it is shown that there is a substantial improvement on existing models both conceptually and in fit to data.

Item Type:	Article
Uncontrolled Keywords:	conditional independence,factor model dependence structure,latent variable model,limited information,partial correlation
Faculty \ School:	Faculty of Science > School of Computing Sciences
UEA Research Groups:	Faculty of Science > Research Groups > Statistics (former - to 2024) Faculty of Science > Research Groups > Numerical Simulation, Statistics & Data Science
Depositing User:	Pure Connector
Date Deposited:	06 Dec 2013 11:38
Last Modified:	08 Nov 2024 09:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/45731
DOI:	10.1007/s11336-013-9387-4

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