For a two-way contingency table, the degrees of freedom for the chi-square test of independence are defined as.
A) $( r - 1 ) + ( c - 1 )$
B) $( r - 1 ) ( c - 1 )$
C) $\frac { ( r - 1 ) } { ( c - 1 ) }$
D) $( r - 1 ) - ( c - 1 )$

Question

For a two-way contingency table, the degrees of freedom for the chi-square test of independence are defined as. 
A) $( r - 1 ) + ( c - 1 )$
B) $( r - 1 ) ( c - 1 )$
C) $\frac { ( r - 1 ) } { ( c - 1 ) }$
D) $( r - 1 ) - ( c - 1 )$

Quizplus · Accepted Answer

The degrees of freedom for the chi-square test of independence for a two-way contingency table is equal to the product of (number of rows - 1) and (number of columns - 1). Therefore, the correct option is B, which is (r-1)(c-1).

For a Two-Way Contingency Table, the Degrees of Freedom for the Chi-Square