Power-divergence-type measure of departure from diagonals-parameter symmetry for square contingency tables with ordered categories

Statistics

Volumn 39, Issue 2, 2005, Pages 107-115

  Tomizawa, Sadao ^a   Miyamoto, Nobuko ^a   Yamane, Shunsuke ^a  

^a TOKYO UNIVERSITY OF SCIENCE   (Japan)

Author keywords

Diversity index; Kullback Leibler information; Measure; Power divergence; Shannon entropy; Symmetry

Indexed keywords

EID: 16644381025     PISSN: 02331888     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331880500031464     Document Type: Article

References (9)

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3. McCullagh, P., 1978, A class of parametric models for the analysis of square contingency tables with ordered categories. Biometrika, 65, 413-418.
4. Patil, G.P. and Taillie, C., 1982, Diversity as a concept and its measurement. Journal of the American Statistical Association, 77, 548-561.
5. Read, T.R.C. and Cressie, N., 1988, Goodness-of-Fit Statistics for Discrete Multivariate Data (New York: Springer-Verlag).
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7. Tomizawa, S., 1994, Two kinds of measures of departure from symmetry in square contingency tables having nominal categories. Statistica Sinica, 4, 325-334.
8. Tomizawa, S. and Saitoh, K., 1999, Measure of departure from conditional symmetry for square contingency tables with ordered categories. Journal of the Japan Statistical Society, 29, 65-78.
9. Tomizawa, S., Seo, T. and Yamamoto, H., 1998, Power-divergence-type measure of departure from symmetry for square contingency tables that have nominal categories. Journal of Applied Statistics, 25, 387-398.