# Question

If the analysis of a contingency table shows that there is a relationship between the two variables under consideration, the strength of this relationship may be measured by means of the contingency coefficient

Where x2 is the value obtained for the test statistic, and f is the grand total as defined on page 372. Show that

(a) For a 2 × 2 contingency table the maximum value of C is 1/2 √2;

(b) For a 3 × 3 contingency table the maximum value of C is 1/3 √6.

Where x2 is the value obtained for the test statistic, and f is the grand total as defined on page 372. Show that

(a) For a 2 × 2 contingency table the maximum value of C is 1/2 √2;

(b) For a 3 × 3 contingency table the maximum value of C is 1/3 √6.

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