# Give the degrees of freedom for the chi-square test based on the two-way table. begin{array}{|c|c|c|} hline &text{Yes}&text{No}&text{Total} hline text

Give the degrees of freedom for the chi-square test based on the two-way table.
$\begin{array}{|cccc|}\hline & \text{Yes}& \text{No}& \text{Total}\\ \text{Group 1}& 56& 44& 100\\ \text{Group 2}& 132& 68& 200\\ \text{Group 3}& 72& 28& 100\\ \text{Total}& 260& 140& 400\\ \hline\end{array}$
Degrees of freedom=?
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Step 1

Given $r=\text{No. of rows}=3$
$c=\text{No. of columns}=2$

Step 2

$\text{Degrees of freedom}=\left(r-1\right)×\left(c-1\right)$
$dF=\left(3-1\right)\cdot \left(2-1\right)$
$d\cdot F=2$