For an I J table, let ij = log ij , and let a
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For an I × J table, let ηij = log µij, and let a dot subscript denote the mean for that index (e.g., ηi. = ∑j ηij/J). Then, let λ = η.., λiX = ηi.– η.., λjY = η.j – η.., and λijXY = ηij – ηi. – η.j + η..·
a. For 2 × 2 tables, show that log θ = 4λ11XY.
b. For 2 × J tables, show that λ11XY = (∑j log αj)/2J, where αj = µ11 µ2j/µ21 µ1j, j = 2,..., J.
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