Consider the 3 × 2 contingency table below.How many degrees of freedom are associated with the chi-square test? $$\begin{array} { c c c }
& { \text { Factor B } } \
\text { Factor A } & \mathrm { B } _ { 1 } & \mathrm {~B} _ { 2 } \
\mathrm {~A} _ { 1 } & 16 & 14 \
\mathrm {~A} _ { 2 } & 15 & 25 \
\mathrm {~A} _ { 3 } & 9 & 21
\end{array}$$
A)2
B)4
C)6
D)8
E)10

Question

Consider the 3 × 2 contingency table below.How many degrees of freedom are associated with the chi-square test? $$\begin{array} { c c c } 
&  { \text { Factor B } } \
\text { Factor A } & \mathrm { B } _ { 1 } & \mathrm {~B} _ { 2 } \
\mathrm {~A} _ { 1 } & 16 & 14 \
\mathrm {~A} _ { 2 } & 15 & 25 \
\mathrm {~A} _ { 3 } & 9 & 21
\end{array}$$
A)2
B)4
C)6
D)8
E)10

Quizplus · Accepted Answer

The degrees of freedom for a chi-square test on a contingency table are calculated as (rows - 1) * (columns - 1). Here, we have 3 rows and 2 columns, so the degrees of freedom are (3 - 1) * (2 - 1) = 2 * 1 = 2.

Consider the 3 × 2 Contingency Table Below A)2 B)4 C)6 D)8 E)10

Consider the 3 × 2 Contingency Table Below A)2
B)4
C)6
D)8
E)10