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A Modified Palindromic Symmetry Model for Square Contingency Tables with Ordered Categories |
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PP: 109-115 |
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Author(s) |
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Kiyotaka Iki,
Takeshi Oda,
Sadao Tomizawa,
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Abstract |
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| 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. |
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