Consider a three-way contingency table of size R C T . For
Chapter 10, Problem 9(choose chapter or problem)
Consider a three-way contingency table of size R C T . For i = 1,...,R, j = 1,...,C, and k = 1,...,T , let pijk 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 pi++ = C j=1 T k=1 pijk, p+j+ = R i=1 T k=1 pijk, p++k = R i=1 C j=1 pijk. On the basis of a random sample of n observations from the given population, construct a test of the following hypotheses: H0: pijk = pi++p+j+p++k for all values of i, j, and k, H1: The hypothesis H0 is not true.
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