Loglinear, Association and Quasi-symmetry Models
Loglinear, 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:
Agresti 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?]
Agresti 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.
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