Measure of asymmetry for square contingency tables having ordered categories

Australian and New Zealand Journal of Statistics

Volumn 43, Issue 3, 2001, Pages 335-349

  Tomizawa, Sadao ^a   Miyamoto, Nobuko ^a   Hatanaka, Yusuke ^a  

^a TOKYO UNIVERSITY OF SCIENCE   (Japan)

Author keywords

Category ordering; Cumulative probabilities; Measure; Normal distribution; Power divergence; Square contingency table; Symmetry

Indexed keywords

EID: 0042833266     PISSN: 13691473     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-842X.00180     Document Type: Article

References (12)

1. AGRESTI, A. (1984). Analysis of Ordinal Categorical Data. New York Wiley.
2. BISHOP, Y.M.M., FIENBERG, S.E. & HOLLAND, P.W. (1975). Discrete Multivariate Analysis: Theory and Practice. Cambridge, Massachusetts: The MIT Press.
3. CRESSIE, N. & READ, T.R.C. (1984). Multinominal goodness-of-fit tests. J. Roy. Statist. Soc. Ser. B 46, 440-164.
4. GOODMAN, L.A. (1979). Multiplicative models for square contingency tables with ordered categories. Biometrika 66, 413-18.
5. PATIL, G.P. & TAILLIE, C. (1982). Diversity as a concept and its measurement. J. Amer. Statist. Assoc. 77, 548-561.
6. MCCULLAGH, P. (1978). A class of parametric models for the analysis of square contingency tables with ordered categories. Biometrika 65, 413-418.
7. READ, T.R.C. & CRESSIE, N. (1988). Goodness-of-Fit Statistics for Discrete Multivariate Data. New York: Springer-Verlag.
8. TOMINAGA, K. (1979). Nippon no Kaisou Kouzou (Japanese Hierarchical Structure). Tokyo: University of Tokyo Press (in Japanese).
9. TOMIZAWA, S. (1989). Decompositions for conditional symmetry model into palindromic symmetry and modified marginal homogeneity models. Austral. J. Statist. 31, 287-296.
10. TOMIZAWA, S. (1993). Diagonals-parameter symmetry model for cumulative probabilities in square contingency tables with ordered categories. Biometrics 49, 883-887.
11. TOMIZAWA, S. (1994). Two kinds of measures of departure from symmetry in square contingency tables having nominal categories. Statist. Sinica 4, 325-334.
12. TOMIZAWA, S., SEO, T. & YAMAMOTO, H. (1998). Power-divergence-type measure of departure from symmetry for square contingency tables that have nominal categories. J. Appl. Statist. 25, 387-398.