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 Toulouse : Mathématiques, Série 6, Tome 11 (2002) no. 4, pp. 525-540.
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     title = {Contributions to the statistical analysis of contingency tables : notes on quasi-symmetry, quasi-independence, log-linear models, log-bilinear models, and correspondence analysis models},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {525--540},
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Leo A. Goodman. 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 Toulouse : Mathématiques, Série 6, Tome 11 (2002) no. 4, pp. 525-540. https://afst.centre-mersenne.org/item/AFST_2002_6_11_4_525_0/

[1] Agresti (A.). - Categorical Data Analysis, New York, Wiley, 1990. | MR | Zbl

[2] Agresti (A.). - An Introduction to Categorical Data Analysis, New York, Wiley, 1996. | MR | Zbl

[3] Becker (M.P.). - Maximum likelihood estimation of the RC(M) association model, Applied Statistics, 39 (1990), 152-157. | Zbl

[4] Bishop (Y.M.M.), Fienberg (S.E.). - Incomplete two-dimensional contingency tables, Biometrics, 25 (1969), 119-128.

[5] Bishop (Y.M.M.), Fienberg (S.E.), Holland (P.W.). - Discrete Multivariate Analysis: Theory and Practice, Cambridge, MA, MIT Press, 1975. | MR | Zbl

[6] Caussinus (H.). - Contribution à l'analyse statistique des tableaux de correlation, Annales de la Faculté des Sciences de l'Université de Toulouse, 29 (année 1965), (1966), 77-182. | Numdam | MR | Zbl

[7] Duncan (O.D.). - How destination depends on origin in the occupational mobility table, American Journal of Sociology, 84 (1979), 793-803.

[8] Fienberg (S.E.). - Quasi-independence and maximum likelihood estimation in incomplete contingency tables, Journal of the American Statistical Association, 65 (1970), 1610-1616. | MR | Zbl

[9] Fienberg (S.E.). - The Analysis of Cross-Classified Categorical Data, 2nd ed., Cambridge, MA, MIT Press, 1980. | MR | Zbl

[10] Gilula (Z.), Haberman (S.J.). - Canonical analysis of two-way contingency tables by maximum likelihood, Journal of the American Statistical Association, 81 (1986), 780-788. | MR | Zbl

[11] Goodman (L.A.). - Statistical methods for the mover-stayer model, Journal of the American Statistical Association, 56 (1961), 841-868. | MR

[12] Goodman (L.A.). - Statistical methods for the preliminary analysis of transaction flows, Econometrica, 31 (1963), 197-208.

[13] Goodman (L.A.). - A short computer program for the analysis of transaction flows, Behavioral Science, 8 (1964), 176-186.

[14] Goodman (L.A.). - The analysis of persistence in a chain of multiple events, Biometrika, 51 (1964), 405-411. | MR | Zbl

[15] Goodman (L.A.). - Simple methods for analyzing three-factor interaction in contingency tables, Journal of the American Statistical Association, 59 (1964), 319-352. | MR | Zbl

[16] Goodman (L.A.). - Interactions in multidimensional contingency tables, The Annals of Mathematical Statistics, 35 (1964), 632-646. | MR | Zbl

[17] Goodman (L.A.). - On the statistical analysis of mobility tables, American Journal of Sociology, 70 (1965), 564-585.

[18] Goodman (L.A.). - The analysis of cross-classified data: Independence, quasi-independence, and interactions in contingency tables with or without missing entries, Journal of the American Statistical Association, 63 (1968), 1091-1131. | Zbl

[19] Goodman (L.A.). - How to ransack social mobility tables and other kinds of cross-classification tables, American Journal of Sociology, 75 (1969), 1-40.

[20] Goodman (L.A.). - On the measurement of social mobility: An index of status persistence, American Sociological Review, 34 (1969), 831-850.

[21] Goodman (L.A.). - The multivariate analysis of qualitative data: Interactions among multiple classifications, Journal of the American Statistical Association, 65 (1970), 226-256.

[22] Goodman (L.A.). - A simple simultaneous test procedure for quasi-independence in contingency tables, Applied Statistics, 20 (1971), 165-177.

[23] Goodman (L.A.). - Some multiplicative models for the analysis of cross-classified data, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, (eds. L. M. LeCam et al.), Berkeley, University of California Press, 1 (1972), 649-696. | MR | Zbl

[24] Goodman (L.A.). - On the empirical evaluation of certain logical forms of hypotheses using quasi-independence as a standard for comparison, American Sociological Review, 39 (1974), 273-277.

[25] Goodman (L.A.). - A new model for scaling response patterns: An application of the quasi-independence concept, Journal of the American Statistical Association, 70 (1975), 755-768. | Zbl

[26] Goodman (L.A.). - On quasi-independence in triangular contingency tables, Biometrics, 35 (1979), 651-655. | Zbl

[27] Goodman (L.A.). - The analysis of qualitative variables using more parsimonious quasi-independence models, scaling models, and latent structures., Qualitative and Quantitative Social Research: Papers in Honor of Paul F. Lazarsfeld, (eds. R. K. Merton et al.), New York, Free Press (1979), 119-137.

[28] Goodman (L.A.). - Simple models for the analysis of association in crossclassifications having ordered categories, Journal of the American Statistical Association, 74 (1979), 537-552. | MR

[29] Goodman (L.A.). - Multiplicative models for the analysis of occupational mobility tables and other kinds of cross-classification tables, American Journal of Sociology, 84 (1979), 804-819.

[30] Goodman (L.A.). - The analysis of cross-classified data having ordered and/or unordered categories: Association models, correlation models, and asymmetry models for contingency tables with or without missing entries, The Annals of Statistics, 13 (1985), 10-69. | MR | Zbl

[31] Goodman (L.A.). - Some useful extensions of the usual correspondence analysis approach and the usual log-linear models approach in the analysis of contingency tables, with discussion, International Statistical Review, 54 (1986), 243-309. | MR | Zbl

[32] Goodman (L.A.). - Measures, models, and graphical displays in the analysis of cross-classified data, with discussion, Journal of the American Statistical Association, 86 (1991), 1085-1138. | MR | Zbl

[33] Goodman (L.A.). - On quasi-independence and quasi-dependence in contingency tables, with special reference to ordinal triangular contingency tables, Journal of the American Statistical Association, 89 (1994), 1059-1063. | MR | Zbl

[34] Goodman (L.A.). - A single general method for the analysis of cross-classified data: Reconciliation and synthesis of some methods of Pearson, Yule, and Fisher, and also some methods of correspondence analysis and association analysis, Journal of the American Statistical Association, 91 (1996), 408-428. | MR | Zbl

[35] Goodman (L.A.), Kruskal (W.H.). - Measures of association for crossclassifications, II: Further discussion and references, Journal of the American Statistical Association, 54 (1959), 123-163. | MR | Zbl

[36] Haberman (S.J.). - Analysis of Qualitative Data, Vols. 1 and 2 (1978,1979), New York: Academic Press. | MR | Zbl

[37] Hauser (R.M.). - Some exploratory methods for modeling mobility tables and other cross-classified data, Sociological Methodology, ed. Karl F. Schuessler, San Francisco, Jossey-Bass (1980), 413-458.

[38] Mccullagh (P.). - The analysis of matched pairs with qualitative data, Technical Report No. 75, Department of Statistics, University of Chicago, 1978.