caa a22 4500 606241833 CHVBK 20210128101315.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s11336-013-9387-4 doi (NATIONALLICENCE)springer-10.1007/s11336-013-9387-4 Factor Copula Models for Item Response Data [Elektronische Daten] [Aristidis Nikoloulopoulos, Harry Joe] 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. The Psychometric Society, 2013 conditional independence nationallicence factor model dependence structure nationallicence latent variable model nationallicence limited information nationallicence partial correlation nationallicence Nikoloulopoulos Aristidis School of Computing Sciences, University of East Anglia, NR4 7TJ, Norwich, UK aut Joe Harry University of British Columbia, BC, Vancouver, Canada aut Psychometrika Springer US; http://www.springer-ny.com 80/1(2015-03-01), 126-150 0033-3123 80:1<126 2015 80 11336 https://doi.org/10.1007/s11336-013-9387-4 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/s11336-013-9387-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nikoloulopoulos Aristidis School of Computing Sciences, University of East Anglia, NR4 7TJ, Norwich, UK aut NATIONALLICENCE 700 1- Joe Harry University of British Columbia, BC, Vancouver, Canada aut NATIONALLICENCE 773 0- Psychometrika Springer US; http://www.springer-ny.com 80/1(2015-03-01), 126-150 0033-3123 80:1<126 2015 80 11336