Consider a three-way contingency table of size R × C × T. For i = 1, . . . , R, j = 1, . . . , C, and k = 1, . . . , T , let pij k denote the probability that an individual selected at random from a given population will fall into the (i, j , k) cell of the table. Let
On the basis of a random sample of n observations from the given population, construct a test of the following hypotheses:
H0: pij k = pi++p+j+p++k for all values of i, j, and k,
H1: The hypothesis H0 is not true.
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