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{Group 1} & 56&44&100 hline text{Group 2}&132&68&200 hline text{Group 3}&72&28&100 hline text{Total}&260&140&400 hline end{array} Degrees of freedom=?

Question
Two-way tables
asked 2021-02-23
Give the degrees of freedom for the chi-square test based on the two-way table.
\(\begin{array}{|c|c|c|} \hline &\text{Yes}&\text{No}&\text{Total}\\ \hline \text{Group 1} & 56&44&100\\ \hline \text{Group 2}&132&68&200\\ \hline \text{Group 3}&72&28&100\\ \hline \text{Total}&260&140&400\\ \hline \end{array}\)
Degrees of freedom=?

Answers (1)

2021-02-24
Step 1 Given \(r=\text{No. of rows}=3\)
\(c=\text{No. of columns}=2\) Step 2 \(\text{Degrees of freedom}=(r-1)\times(c-1)\)
\(dF=(3-1)\cdot(2-1)\)
\(d\cdot F=2\)
0

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