A Modified Palindromic Symmetry Model for Square Contingency Tables with Ordered Categories

Authors

Kiyotaka Iki, Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Noda City, JapanFollow
Takeshi Oda
Sadao Tomizawa

Author Country (or Countries)

Japan

Abstract

For the analysis of square contingency tables with the same row and column ordinal classifications, McCullagh (1978) considered the palindromic symmetry (PS) model, which has a multiplicative form for cumulative probabilities that an observation will fall in row (column) category i or below and column (row) category j (> i) or above. The present paper proposes a modified PS model which indicates that (1) the symmetric odds for cumulative probabilities with distance 1 from main diagonal of the table are constant and (2) there is the structure of quasi-symmetry for them with distance k (≥ 2). Also the present paper gives the decomposition of the symmetry model using the proposed model. Examples are given.

Suggested Reviewers

N/A

Recommended Citation

Iki, Kiyotaka; Oda, Takeshi; and Tomizawa, Sadao (2014) "A Modified Palindromic Symmetry Model for Square Contingency Tables with Ordered Categories," Journal of Statistics Applications & Probability: Vol. 3: Iss. 2, Article 1.
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol3/iss2/1