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

Question

Give the degrees of freedom for the chi-square test based on the two-way table.

\begin{array}{ccc} Yes & No & Total \\ Group 1 & 56 & 44 & 100 \\ Group 2 & 132 & 68 & 200 \\ Group 3 & 72 & 28 & 100 \\ Total & 260 & 140 & 400 \end{array}

Degrees of freedom=?

Answer 1

Step 1

Given $r = No. of rows = 3$
$c = No. of columns = 2$

Step 2

$Degrees of freedom = (r - 1) \times (c - 1)$
$d F = (3 - 1) \cdot (2 - 1)$
$d \cdot F = 2$

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