Loglinear, Association and Quasi-symmetry ModelsLoglinear, association and quasi-symmetry models are related in many respects. These are important options for the analysis of some kinds of agreement data. For a thorough discussion of these methods the reader is referred to the primary references listed below. A good place to begin is Barlow (1998). A few general comments can be made as follows:
ReferencesReviewsAgresti A. Modelling patterns of agreement and disagreement. Statistical Methods in Medical Research, 1992, 1(2), 201-218. Barlow W. Modeling of categorical agreement. In: Armitage P, Colton T (eds), The encyclopedia of biostatistics (pp. 541-545). New York: Wiley, 1998. Uebersax JS. A review of modeling approaches for the analysis of observer agreement. Investigative Radiology, 1992, 27, 738-743. Loglinear ModelsBegin with the two Tanner & Young papers. The other citations are general works on loglinear modeling.Bishop YMM, Fienberg SE, Holland PW. Discrete multivariate analysis: theory and practice. Cambridge, Mass.: MIT Press, 1975 Fienberg SE The analysis of cross-classified categorical data. Cambridge, Mass.: MIT Press, 1977. Haberman SJ. Qualitative data analysis (Vols. 1 & 2). New York: Academic Press, 1979. Tanner MA, Young MA. Modelling agreement among raters. Journal of the American Statistical Association, 1985a, 80, 175-180. Tanner MA, Young MA. Modeling ordinal scale disagreement. Psychological Bulletin, , 1985b, 98, 408-415. Quasi-symmetry ModelsBegin with Darroch & McCloud, 1986.Agresti A, Lang JB. Quasi-symmetric latent class models, with application to rater agreement. Biometrics, 1993, 49, 131-139. Becker MP. Quasisymmetric models for the analysis of square contingency tables. Journal of the Royal Statistical Society Ser. B (Applied Statistics), 1990, 52, 369-378. Darroch JN, McCloud PI. Category distinguishability and observer agreement. Australian Journal of Statistics, 1986, 28, 371-388. Darroch JN, McCloud PI. Quasisymmetry models of observer agreement. [Reference incomplete--1991?] Association ModelsAgresti A. Categorical data analysis. New York: Wiley, 1990. Agresti A. Analysis of ordinal categorical data. New York: Wiley, 1984. Agresti A. A model for agreement between ratings on an ordinal scale, Biometrics, 1988, 44, 539-548. Becker MP. Using association models to analyse agreement data: two examples. Statistics in Medicine, 1989, 8, 1199-1207. Becker MP, Agresti A. Log-linear modelling of pairwise interobserver agreement on a categorical scale. Statistics In Medicine, 1992, 11(1), 101-114. Goodman LA. Simple models for the analysis of association in cross-classifications having ordered categories. Journal of the American Statistical Association, 1979, 74, 537-551. Goodman LA. Measures, models, and graphical displays in the analysis of cross-classified data (with discussion). Journal of the American Statistical Association, 1991, 86, 1085-1111. (Top on Page) Go to Agreement Statistics Go to Latent Structure Analysis Revised: 21 September 2000 (c) 2000-2009 John Uebersax PhD email |