Identify the degrees of freedom for the treatment and error in this one-factor ANOVA (blanks indicate missing information). $$\begin{array} { l c c c }
\hline \text { Source } & \text { Sum of Squares } & d f & \text { Mean Square } \
\hline \text { Treatment } & 993 & & 331.0 \
\text { Error } & 1,002 & & 50.1 \
\hline \text { Total } & 1,995 & 23 & \
\hline
\end{array}$$
A)4, 24
B)3, 20
C)5, 23

Question

Identify the degrees of freedom for the treatment and error in this one-factor ANOVA (blanks indicate missing information). $$\begin{array} { l c c c } 
\hline \text { Source } & \text { Sum of Squares } & d f & \text { Mean Square } \
\hline \text { Treatment } & 993 & & 331.0 \
\text { Error } & 1,002 & & 50.1 \
\hline \text { Total } & 1,995 & 23 & \
\hline
\end{array}$$
A)4, 24
B)3, 20
C)5, 23

Quizplus · Accepted Answer

The degrees of freedom for the treatment is the number of groups minus one, which is 4 - 1 = 3.
The degrees of freedom for the error is the total degrees of freedom minus the degrees of freedom for the treatment, which is 23 - 3 = 20. Therefore, the correct choice is B.

Identify the Degrees of Freedom for the Treatment and Error