When testing for independence in a contingency table with r rows and c columns,the degrees of freedom for the test statistic would be:
A)r + c + 1
B)r + c -1
C)(r-1)(c-1)
D)rc - 1

Question

Quizplus · Accepted Answer

The formula for the degrees of freedom for a chi-square test of independence in a contingency table with r rows and c columns is (r-1)(c-1). This is because the test involves comparing the observed frequencies in each cell of the table to the expected frequencies under the assumption of independence. The expected frequencies can be calculated based on the row and column totals, which means that there are (r-1)(c-1) degrees of freedom for the chi-square test.

When Testing for Independence in a Contingency Table with R