Concept explainers
Suppose that the entries in a contingency table that appear in row i and column j are denoted nij, 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
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 every entry in the contingency table is multiplied by the same integer constant k > 0?
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Mathematical Statistics with Applications
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