title: Common factor models of validity and reliability for use with ordinal data in k x k tables.
abstract: Three common factor models are proposed for the analysis of k x k ordinal data arising from test validity or reliability situations. These models represent an extension of the polychoric correlation model and item response theory. Identification is complete in the most usual reliability situation, where data from only two indicators (raters) are available. Full maximum likelihood estimation is available together with associated informative deviance tests and goodness-of-fit tests, examples of which are provided.
authors.affiliation: Department of Psychology, University of Sydney, Camperdown, NSW 2006, Australia. dgrayson@psych.usyd.edu.au
authors.forename: D A
authors.initials: DA
authors.lastname: Grayson
mesh_terms: D003627:Data Interpretation, Statistical; D005163:Factor Analysis, Statistical; D006801:Humans; D016013:Likelihood Functions; D015233:Models, Statistical; D015588:Observer Variation; D011594:Psychometrics; D015203:Reproducibility of Results