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The degrees of freedom for any contingency table can be calculated simply by the formula (r-1)x(c-1) where r= the number of rows and c= the number of columns. Thus for a contingency table with four rows and four columns the degrees of freedom are 3x3 = 9.

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Q: In a two-way contingency table with four rows and four columns the appropriate degrees of freedom for the chi-square test statistic is?
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