Suppose that the entries in a contingency table that appear in row i and column j are
Chapter 14, Problem 14.15(choose chapter or problem)
Suppose that the entries in a contingency table that appear in row i and column j are denoted ni j , for i = 1, 2,...,r and j = 1, 2,..., c; that the row and column totals are denoted ri , for i = 1, 2,...,r, and cj , for j = 1, 2,..., c; and that the total sample size is n. a Show that X2 = c j=1 r i=1 [ni j E5(ni j)] 2 E5(ni j) = n c j=1 r i=1 n2 i j ri cj 1 . Notice that this formula provides a computationally more efficient way to compute the value of X2. b Using the preceding formula, what happens to the value of X2 if
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