Generating factor variables for asymmetry, non-independence and skew-symmetry models in square contingency tables using SAS

Journal of Statistical Software

Volumn 7, Issue , 2002, Pages 1-23

  Lawal, H Bayo ^a   Sundheim, Richard A ^a  

^a ST CLOUD STATE UNIVERSITY   (United States)

Author keywords

Log linear; Ordinal; Square Tables; Symmetry

Indexed keywords

EID: 1942485176     PISSN: 15487660     EISSN: None     Source Type: Journal    
DOI: 10.18637/jss.v007.i08     Document Type: Article

References (29)

1. Agresti, A. (1983). "A simple diagonals-parameter symmetry and quasi-symmetry model". Statist. Prob. Letters, 1, 313-316.
2. Agresti, A. (1996). An Introduction to Categorical Data Analysis John Wiley and Sons, New York.
3. Bishop, Y.M; Fienberg, S. & Holland, P.W. (1975). Discrete Multivariate Analysis. MIT Press.
4. Caussinus, H. (1965). "Contributions a l'analyse statistique des tableaux de correlation". Ann. Fac. Sci. Univ. Toulouse, 29, 77-182.
5. Clogg, C. C. (1995). "Latent class models". In Handbook of Statistical Modeling for the Social and Behavioral Sciences. Edited by Armiger, G, Clogg, C. C. & Sobel, M. E. 311-359.
6. Clogg, C.C., Eliason, S.R, & Grego, J.M. (1990). "Models for the Analysis of Change in Discrete Variables". In Statistical Methods in Longitudinal Research, Vol 2, Ed. A. Von Eye, San Diego: Academic Press, 409-441.
7. von Eye, A. & Spiel, C. (1996). "Standard and Non-standard Log-Linear Symmetry Models for Measuring change in categorical Variables". American Statistician, 50, 300-305.
8. Firth D. & Treat, B. R. (1988). "Square contingency tables and GLIM". GLIM Newletter,16, 16-20.
9. Friedl, H. (1995). "A note on generating the factors for symmetry parameters in log-linear models". GLIM Newsletter,24, 33-36.
10. Goodman, L.A. (1972). "Some multiplicative models for the analysis of cross-classified data". In Le carm et al.. Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, 649-695. Berkeley: University of California Press.
11. Goodman, L.A. (1979). "Multiplicative models for the analysis of occupational mobility tables and other kinds of cross-classification tables". Amer. Jour. Sociology, 84, 804-829.
12. Goodman, L. A. (1985). "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, 10-69.
13. Haberman, S. J. (1978). Analysis of Qualitative Data, Vol 2 New Developments. Academic Press, New York.
14. Hope K. (1982). "Vertical and non vertical class mobility in three countries". American Sociological Review, 47, 99-113.
15. Katari, M. (1993). "Fitting asymmetry and non-independence models with GLIM". GLIM Newsletter, 22, 46-50.
16. Kutylowski, A. J. (1989). "Analysis of symmetric cross-classifications". In Lecture Notes in Statistics, 57, 188-197.
17. Lawal, H. B. (1992). "Parsimonious uniform-distance association models for the occupational mobility data". J. Japan Statist. Soc., 22, 126-134.
18. Lawal H. B.(1996). "Using SAS GENMOD procedure to fit diagonal class models to square contingency tables having ordered categories". Proceedings of the Midwest SAS Users Group, 149-160.
19. Lawal, H.B. (2001). "Modeling symmetry models in square contingency tables with ordered categories". Jour. Comput. Statist. and Simul., 71, 59-83.
20. Lawal, H.B. (2002). "Application of the non-standard log-linear models to symmetry and diagonal parameter models in square contingency tables". Submitted.
21. Lawal H. B. & Upton G.J.G. (1990). "Alternative interaction structures in square contingency tables having ordered classificatory variables". Quality & Quantity, 24, 107-127.
22. Lawal, H.B. & Upton, G.J.G. (1995). "A computer algorithm for fitting models to N x N contingency tables having ordered categories". Communications in Statistics, Simula, 24(3), 793-805.
23. McCullagh, P. (1978). "A class of parametric models for the analysis of square contingency tables with ordered categories". Biometrika, 65, 413-418.
24. Tomizawa, S. (1985). "Decompositions for odds-symmetry models in a square contingency table with ordered categories". J. Japan Statist. Soc., 15, 151-159.
25. Tomizawa, S. (1987). "Decomposition for 2-Ratios-Parameter symmetry model in square contingency tables with ordered categories". Biom. J., 1, 45-55.
26. Tomizawa, S. (1992). "Quasi-diagonals-parameter symmetry model for square contingency tables with ordered categories". Calcutta Statist. Assoc. Bull., 39, 53-61.
27. Upton, G. J. G. (1985). "A survey of log linear models for ordinal variables in an I x J contingency table". Guru Nanak Jour. Sociology, 6, 1-18.
28. Upton G.J.G. & Sarlvik, B. (1981). "A loyalty-distance model for voting change". Jour. R. Statist. Soc. A, 144, 247-259.
29. Yamagushi, K. (1990) "Some models for the analysis of asymmetric association in square contingency tables with ordered categories". In Sociological Methodology 1990, ed. C.C. Clogg, Oxford: Basil Blackwell, pp. 181-212.