References
- Agresti , A. 1990 . Categorical Data Analysis , New York : Wiley .
- Agresti , A. 1992 . “A Survey of Exact Inference for Contingency Tables” . Statistical Science , 7 : 131 – 177 . (with discussion)
- Agresti , A. 1993a . “Computing Conditional Maximum Likelihood Estimates for Generalized Rasch Models Using Simple Loglinear Models with Diagonal Parameters . Scandinavian Journal of Statistics , 20 : 63 – 72 .
- Agresti , A. 1993b . “Distribution-free Fitting of Logit Models with Random Effects for Repeated Categorical Responses” . Statistics in Medicine , 12 : 1969 – 1987 .
- Agresti , A. 1994 . “Simple Capture-Recapture Models Permitting Unequal Catchability and Variable Sampling Effort” . Biometrics , 50 : 494 – 500 .
- Bartlett , M. S. 1935 . “Contingency Table Interactions” . Journal of the Royal Statistical Society Supplement , 2 : 248 – 252 .
- Birch , M. W. 1963 . “Maximum Likelihood in Three-Way Contingency Tables” . Journal of the Royal Statistical Society , 25 : 229 – 233 . Ser. B
- Bishop , Y. M. M. , Fienberg , S. E. and Holland , P. W. 1975 . Discrete Multivariate Analysis: Theory and Practice , Cambridge , MA : MIT Press .
- Carriquiry , A. and Fienberg , S. E. 1998 . “Log-linear Models,” . In Encyclopedia of Biostatistics , Edited by: Armitage , P. and Colton , T. Vol. 3 , 2333 – 2349 . New York : Wiley .
- Clogg , C. C. and Shidadeh , E. S. 1994 . Statistical Models for Ordinal Variables , Thousand Oaks , CA : Sage .
- Cressie , N. E. and Holland , P. W. 1983 . “Characterizing the Manifest Probabilities of Latent Trait Models” . Psychometrika , 48 : 129 – 141 .
- Christensen , R. 1996 . Plane Answers to Complex Questions: The Theory of Linear Models, , 2nd ed. , New York : Springer-Verlag .
- Darroch , J. N. 1962 . “Interaction in Multi-Factor Contingency Tables” . Journal of the Royal Statistical Society , 24 : 251 – 263 . Ser. B
- Darroch , J. N. 1986 . “Quasi-Symmetry,” . In Encyclopedia of Statistical Sciences , Edited by: Kotz , S. and Johnson , N. L. Vol. 7 , 469 – 473 . New York : Wiley .
- Darroch , J. N. , Fienberg , S. E. , Glonek , G. and Junker , B. 1993 . “A Three-Sample Multiple-Recapture Approach to Census Population Estimation With Heterogeneous Catchability” . Journal of the American Statistical Association , 88 : 1137 – 1148 .
- Darroch , J. N. , Lauritzen , S. L. and Speed , T. P. 1980 . “Markov Fields and Log-Linear Interaction Models for Contingency Tables” . The Annals of Statistics , 8 : 522 – 539 .
- Diaconis , P. and Sturmfels , B. 1998 . “Algebraic Algorithms for Sampling From Conditional Distributions” . The Annals of Statistics , 26 : 363 – 397 .
- Diggle , P. J. , Liang , K-Y. and Zeger , S. L. 1996 . Analysis of Longitudinal Data , New York : Oxford University Press .
- Duncan , O. D. 1983 . “Rasch Measurement: Further Examples and Discussion,” . In Survey Measurement of Subjective Phenomena , Edited by: Turner , C. F. and Martin , E. Vol. 2 , 367 – 403 . New York : Russell Sage .
- Fienberg , S. E. 1972 . “The Multiple Recapture Census for Closed Populations and Incomplete 2k Contingency Tables” . Biometrika , 59 : 591 – 603 .
- Fienberg , S. E. 1980 . The Analysis of Cross-Classified Categorical Data, , 2nd ed. , Cambridge , MA : MIT Press .
- Fienberg , S. E. “Fréchet and Bonferroni Bounds for Multi-Way Tables of Counts With Applications to Disclosure Limitation,” . Statistical Data Protection: Proceedings of the Conference . pp. 115 – 129 . Luxembourg : Eurostat .
- Fienberg , S. E. , Johnson , M. A. and Junker , B. 1999 . “Classical Multi-Level and Bayesian Approaches to Population Size Estimation Using Data From Multiple Lists” . Journal of the Royal Statistical Society , 162 : 383 – 406 . Ser. A
- Fienberg , S. E. and Meyer , M. M. 1983 . “Loglinear Models and Categorical Data Analysis With Psychometric and Econometric Applications” . Journal of Econometrics , 22 : 191 – 214 .
- Fienberg , S. E. , Meyer , M. M. and Wasserman , S. S. 1985 . “Statistical Analysis of Multiple Sociometric Relations” . Journal of the American Statistical Association , 80 : 51 – 67 .
- Good , I. J. 1963 . “Maximum Entropy for Hypothesis Formulation, Especially for Multidimensional Contingency Tables” . Annals of Mathematical Statistics , 34 : 911 – 934 .
- Goodman , L. A. 1963 . “On Methods for Comparing Contingency Tables” . Journal of the Royal Statistical Society , 126 : 94 – 108 . Ser. A
- Goodman , L. A. 1979 . “Simple Models for the Analysis of Association in Cross-Classifications Having Ordered Categories” . Journal of the American Statistical Association , 14 : 537 – 552 .
- Haberman , S. J. 1974 . The Analysis of Frequency Data , Chicago : University of Chicago Press .
- Haberman , S. J. 1977 . “Log-Linear Models and Frequency Tables With Small Expected Cell Counts” . The Annals of Statistics , 5 : 1148 – 1169 .
- Holland , P. W. and Leinhardt , S. 1981 . “An Exponential Family of Probability Distributions for Directed Graphs” . Journal of the American Statistical Association , 76 : 33 – 65 . (with discussion)
- Koehler , K. J. and Larntz , K. 1980 . “An Empirical Investigation of Goodness-of-Fit Statistics for Sparse Multinomials” . Journal of the American Statistical Association , 75 : 336 – 344 .
- Lauritzen , S. L. 1996 . Graphical Models , New York : Oxford University Press .
- McCullagh , P. and Nelder , J. A. 1989 . Generalized Linear Models, , 2nd ed. , London : Chapman and Hall .
- Plackett , R. L. 1974 . The Analysis of Categorical Data , London : Charles Griffin .
- Rasch , G. 1960 . “ Probabilistic Models for Some Intelligence and Attainment Tests ” . In The Danish Institute of Educational Research, expanded ed. (1980) , Chicago : The University of Chicago Press .
- Read , T. R. C. and Cressie , N. A. C. 1988 . Goodness-of-Fit Statistics for Discrete Multivariate Data , New York : Springer-Verlag .
- Roy , S. N. and Kastenbaum , M. A. 1956 . “On the Hypothesis of No Interaction in a Multi-way Contingency Table” . Annals of Mathematical Statistics , 27 : 749 – 757 .
- Tjur , T. 1982 . “A Connection Between Rasch's Item Analysis Model and a Multiplicative Poisson Model” . Scandinavian Journal of Statistics , 9 : 23 – 30 .
- Wasserman , S. and Pattison , P. 1996 . “Logit Models and Logistic Regressions for Social Networks: I. An Introduction to Markov Graphs and p*” . Psychometrika , 61 : 401 – 425 .
- Whitaker , J. 1990 . Graphical Models in Applied Multivariate Statistics , New York : Wiley .