Question: Consider a three-way contingency table of size R C T. For i = 1, . . . , R, j = 1, .

Consider a three-way contingency table of size R × C × T. For i = 1, . . . , R, j = 1, . . . , C, and k = 1, . . . , T , let p_ij 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

Consider a three-way contingency table of size R Ã— C

On the basis of a random sample of n observations from the given population, construct a test of the following hypotheses:

H₀: p_ij k = p_i++p_+j+p_++k for all values of i, j, and k,

H₁: The hypothesis H₀ is not true.

C T R T Pijk P++ j=1! R C i-1 k-

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