@article{AFST_2002_6_11_4_443_0, author = {Agresti, Alan}, title = {Links between binary and multi-category logit item response models and quasi-symmetric loglinear models}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {443--454}, publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences}, address = {Toulouse}, volume = {Ser. 6, 11}, number = {4}, year = {2002}, mrnumber = {2032351}, zbl = {02074275}, language = {en}, url = {http://archive.numdam.org/item/AFST_2002_6_11_4_443_0/} }
TY - JOUR AU - Agresti, Alan TI - Links between binary and multi-category logit item response models and quasi-symmetric loglinear models JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2002 SP - 443 EP - 454 VL - 11 IS - 4 PB - Université Paul Sabatier. Faculté des sciences PP - Toulouse UR - http://archive.numdam.org/item/AFST_2002_6_11_4_443_0/ LA - en ID - AFST_2002_6_11_4_443_0 ER -
%0 Journal Article %A Agresti, Alan %T Links between binary and multi-category logit item response models and quasi-symmetric loglinear models %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2002 %P 443-454 %V 11 %N 4 %I Université Paul Sabatier. Faculté des sciences %C Toulouse %U http://archive.numdam.org/item/AFST_2002_6_11_4_443_0/ %G en %F AFST_2002_6_11_4_443_0
Agresti, Alan. Links between binary and multi-category logit item response models and quasi-symmetric loglinear models. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 11 (2002) no. 4, pp. 443-454. http://archive.numdam.org/item/AFST_2002_6_11_4_443_0/
[1] A simple diagonals-parameter symmetry and quasisymmetry model, Statistics and Probability Letters, 1 (1983), 313-316. | MR | Zbl
). -[2] Computing conditional maximum likelihood estimates for generalized Rasch models using simple loglinear models with diagonals parameters, Scandinavian Journal of Statistics, 20 (1993a), 63-72. | MR | Zbl
). -[3] Distribution-free fitting of logit models with random effects for repeated categorical responses, Statistics in Medicine, 12 (1993b), 1969-1987.
). -[4] Simple capture-recapture models permitting unequal catchability and variable sampling effort, Biometrics, 50 (1994), 494-500.
). -[5] Logit models and related quasi-symmetric loglinear models for comparing responses to similar items in a survey, Sociological Methods in Research, 50 (1995), 68-95.
). -[6] An Introduction to Categorical Data Analysis, Wiley, New York, 1996. | MR | Zbl
). -[7] A model for repeated measurements of a multivariate binary response, Journal of the American Statistical Association, 92 (1997), 315-321. | Zbl
). -[8] Quasi-symmetric latent class models, with application to rater agreement, Biometrics, 49 (1993a), 131-139.
), ). -[9] A Proportional odds model with subject-specific effects for repeated ordered categorical responses, Biometrika, 80 (1993b), 527-534. | MR | Zbl
), ). -[10] Conditional inference for multiple-choice questionnaires, British Journal of Mathematical and Statistical Psychology, 26 (1973), 31-44. | MR
). -[11] A rating formulation for ordered response categories, Psychometrika, 43 (1978), 561-573. | Zbl
). -[12] Quasisymmetric models for the analysis of square contingency tables, Journal of the Royal Statistical Society, Series B, 52 (1990), 369-378. | MR
). -[13] Discrete Multivariate Analysis: Theory and Practice, MIT Press, Cambridge, MA, 1975. | MR | Zbl
), ), ). -[14] Contribution à l'analyse statistique des tableaux de corrélation, Annales de la Faculté des Sciences de l'Université de Toulouse, 29 (année 1965), (1966), 77-183. | Numdam | MR | Zbl
). -[15] Analysis of repeated categorical measurements with conditional likelihood methods, Journal of the American Statistical Association, 84 (1989), 53-62. | MR
). -[16] The Mantel-Haenszel test and tests of marginal symmetry; fixed-effects and mixed models for a categorical response, International Statistical Review, 49 (1981), 285-307. | MR | Zbl
). -[17] A Three-sample multiple-recapture approach to census population estimation with heterogeneous catchability, Journal of the American Statistical Association, 88 (1993), 1137-1148.
), ), ), ). -[18] Category distinguishability and observer agreement, The Australian Journal of Statistics, 28 (1986), 371-388. | MR | Zbl
), ). -[19] Maximum likelihood estimation in generalized Rasch models, Journal of Educational Statistics, 11 (1986), 183-196.
), ). -[20] Rasch measurement: further examples and discussion, in Turner Charles F. and Martin Elizabeth, editors, Surveying Subjective Phenomena, volume 2, chapter 12, pages 367-403, Russell Sage Foundation, New York, 1984.
). -[21] Alternative statistical models and representations for large sparse multi-dimensional contingency tables, Annales de la Faculté des Sciences de L'Université de Toulouse, Mathématiques, 2002, This issue. | Numdam | MR | Zbl
), ), ). -[22] Recent advances in theory and methods for the analysis of categorical data: Making the link to statistical practice, in Bulletin of the International Statistical Institute, volume 49, Book 2 (1981), 763-791. | MR | Zbl
). -[23] Classical multilevel and Bayesian approaches to population size estimation using multiple lists, Journal of the Royal Statistical Society, Series A, 162 (1999), 383-405.
), ), ). -[24] Loglinear representation for paired and multiple comparisons models, Biometrika, 63 (1976), 245-254. | MR | Zbl
), ). -[25] Loglinear models and categorical data analysis with psychometric and econometric applications, Journal of Econometrics, 22 (1983), 191-214. | MR | Zbl
), ). -[26] Risk preferences for gains and losses in multiple objective decisionmaking, Management Science, 32 (1986), 1065-1086.
), ), ), ). -[27] Multiplicative models for square contingency tables with ordered categories, Biometrika, 66 (1979), 413-418.
). -[28] Contributions to the statistical analysis of contingency tables : Notes on quasi-symmetry, quasi-independence, log-linear models, log-bilinear models, and correspondence analysis models, Annales de la Faculté des Sciences de l'Université de Toulouse, 2002, This issue. | Numdam | MR | Zbl
). -[29] The Rasch model, some extensions and their relation to the class of generalized linear models, in Statistical Modelling: Proceedings of GLIM89 and the 4th International Workshop on Statistical Modelling, volume 57 of Lecture Notes in Statistics, Berlin, Springer, 1989. | Zbl
). -[30] A random-effects ordinal regression model for multilevel analysis, Biometrics, 50 (1994), 933-944. | Zbl
), ). -[31] Association and heterogeneity : Structural models of similarities and differences, Sociological Methodology, 17 (1987), 145-184.
), ), ). -[32] Loglinear Rasch model tests, Psychometrika, 49 (1984), 223-245. | Zbl
). -[33] Loglinear multidimensional IRT models for polytomously scored items, Psychometrika, 59 (1994), 149-176. | Zbl
), ). -[34] Simultaneously modeling joint and marginal distributions of multivariate categorical responses, Journal of the American Statistical Association, 89 (1994), 625-632. | Zbl
), ). -[35] Semiparametric estimation in the Rasch model and related exponential response models, including a simple latent class model for item analysis, Journal of the American Statistical Association, 86 (1991), 96-107. | MR | Zbl
), ), ). -[36] A Rasch model for partial credit scoring, Psychometrika, 47 (1982), 149-174. | Zbl
). -[37] A logistic model for paired comparisons with ordered categorical data, Biometrika, 64 (1977), 449-453. | MR | Zbl
). -[38] Some applications of quasisymmetry, Biometrika, 69 (1982), 303-308. | MR | Zbl
). -[39] Conditions for consistent estimation in mixed-effects models for binary matched-pairs data, Canadian Journal of Statistics, 22 (1994), 139-148. | MR | Zbl
), ), ). -[40] On general laws and the meaning of measurement in psychology, in J. Neyman, editor, Proceedings of the 4th Berkeley Symp. Math. Statist. Probab., volume 4, pages 321-333, Berkeley, 1961, University of California Press. | MR | Zbl
). -[41] Estimation of latent ability using a response pattern of graded scores, volume 17, Psychometrika, Monograph Supplement, Psychometric Society, Iowa City, 1969.
). -[42] Multivariate contingency tables and the analysis of exchangeability, Biometrics, 51 (1995), 1001-1016. | Zbl
), ). -[43] A Connection between Rasch's Item analysis model and a multiplicative Poisson model, Scandinavian Journal of Statistics, 9 (1982), 23-30. | MR | Zbl
). -[44] Sequential item response models with an ordered response, British Journal of Mathematical and Statistical Psychology, 43 (1990), 39-55. | MR | Zbl
). -