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Power-divergence-type measure of departure from diagonals-parameter symmetry for square contingency tables with ordered categories
Authors:
Sadao Tomizawa a;
Nobuko Miyamoto a;
Shunsuke Yamane a
| Affiliation: | a Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Noda City, Chiba, Japan |
DOI:
10.1080/02331880500031464
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
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Abstract
For the analysis of square contingency tables with ordered categories, Goodman considered the diagonals-parameter symmetry (DPS) model. This paper proposes a measure to represent the degree of departure from the DPS model. The proposed measure is expressed by applying Read and Cressie's power-divergence or Patil and Taillie's diversity index. The measure would be useful for comparing the degree of departure from the DPS model in several tables. Examples are given.
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| Keywords: Diversity index; Kullback-Leibler information; Measure; Power-divergence; Shannon entropy; Symmetry |
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