Yule (1906) defined a table to be isotropic if an ordering of rows and of columns exists

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Yule (1906) defined a table to be isotropic if an ordering of rows and of columns exists such that the local log odds ratios are all nonnegative].

a. Show that a table is isotropic if it satisfies 

(i) The linear-by-linear association model, 

(ii) The row effects model, and 

(iii) The RC model.

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