Abstract
For multi-way tables, Bhapkar and Darroch (1990) gave the second-order marginal symmetry model. The present paper proposes a measure to represent the degree of departure from the second-order marginal symmetry model. The measure is expressed as the weighted sum of the Shannon entropy. The paper also gives the approximate confidence interval of the measure, and shows relationship between the measure and the trivariate normal distribution. Examples are given.
Acknowledgments
The authors would like to thank the editor and referee for their helpful suggestions and comments.
Citation
Yusuke Saigusa. Kouji Tahata. Sadao Tomizawa. "A measure of departure from second-order marginal symmetry for multi-way tables with nominal categories." SUT J. Math. 52 (1) 1 - 19, June 2016. https://doi.org/10.55937/sut/1467900479
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