Question: Consider exact tests of independence, given the marginais, for the I I table having n ii = 1 for i = 1,.....I, and n

Consider exact tests of independence, given the marginais, for the I × I table having n_ii = 1 for i = 1,.....I, and n_ij = 0 otherwise.

Show that (a) tests that order tables by their probabilities, X², or G² have P-value = 1.0, and (b) the one-sided test that orders tables by an ordinal statistic such as r or C – D has P-value = (1/I!).

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