The UMP unbiased test of H : = 1 derived in Section 4.8 for the case

Question:

The UMP unbiased test of H : = 1 derived in Section 4.8 for the case that the B- and C-margins are fixed (where the conditioning now extends to all random margins) is also UMP unbiased when

(i) only one of the margins is fixed;

(ii) the entries in the 4K cells are independent Poisson variables with means

λABC,..., and is replaced by the corresponding cross-ratio of the λ’s.

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