Part of an ANOVA table is shown below. $$\begin{array} { l l l l l }
\text { Source of } & \text { Sum of } & \text { Degrees of } & \text { Mean } \
\text { Variation } & \text { Squares } & \text { Freedom } & \text { Square } & F \
\text { Between Treatments } & 64 & &&8 \
\text { Within Treatments (Error) } & &&2 & \
\text { TOTAL } &100
\end{array}$$ The number of degrees of freedom corresponding to within-treatments is
A) 22.
B) 4.
C) 5.
D) 18.

Question

Part of an ANOVA table is shown below. $$\begin{array} { l l l l l } 
\text { Source of } & \text { Sum of } & \text { Degrees of } & \text { Mean } \
\text { Variation } & \text { Squares } & \text { Freedom } & \text { Square } & F \
\text { Between Treatments } & 64 & &&8 \
\text { Within Treatments (Error) } & &&2 & \
\text { TOTAL }  &100
\end{array}$$   The number of degrees of freedom corresponding to within-treatments is
A) 22.
B) 4.
C) 5.
D) 18.

Quizplus · Accepted Answer

The total degrees of freedom is the sum of the degrees of freedom between treatments and within treatments. The total sum of squares is 100, and the sum of squares between treatments is 64, so the sum of squares within treatments is 36. The mean square for within treatments is 2, so the degrees of freedom for within treatments is 36/2 = 18.

Part of an ANOVA Table Is Shown Below The Number of Degrees of Freedom Corresponding to Within-Treatments Is