Consider the data table shown with values for six individuals measured in each of four groups (A, B, C, and D). We will conduct an ANOVA analysis of this.

$\begin{array}{c}
\text { Groups }\
\begin{array}{rrrr}
\text { A } & \text { B } & \text { C } & \text { D } \
11 & 12 & 11 & 16 \
12 & 13 & 14 & 18 \
14 & 14 & 15 & 19 \
15 & 17 & 16 & 23
\end{array}\end{array}$
-To test the significance of the F-ratio value, what degrees of freedom would we use?

Question

Consider the data table shown with values for six individuals measured in each of four groups (A, B, C, and D). We will conduct an ANOVA analysis of this.
​
 $\begin{array}{c}
\text { Groups }\
\begin{array}{rrrr}
\text { A } & \text { B } & \text { C } & \text { D } \
11 & 12 & 11 & 16 \
12 & 13 & 14 & 18 \
14 & 14 & 15 & 19 \
15 & 17 & 16 & 23
\end{array}\end{array}$
-To test the significance of the F-ratio value, what degrees of freedom would we use?

Quizplus · Accepted Answer

The degrees of freedom for the numerator (between groups) is calculated as the number of groups minus one, which is $4 - 1 = 3$. The degrees of freedom for the denominator (within groups) is calculated as the total number of observations minus the number of groups, which is $16 - 4 = 12$.

Consider the Data Table Shown with Values for Six Individuals