$$\begin{array}{l}
\text { A portion of an ANOVA summary table is shown below. What is the F-test value? }\
\begin{array} { c c c }
\text { Source } & \text { Sum of Squares } & \text { Degrees of Freedom } \
\text { Between } & 16 & 2 \
\text { Within (error) } & 34 & 28 \
\text { Total } & 50 &
\end{array}
\end{array}$$
A) 0.15
B) 0.47
C) 6.59
D) 2.13

Question

$$\begin{array}{l}
\text { A portion of an ANOVA summary table is shown below. What is the F-test value? }\
\begin{array} { c c c } 
\text { Source } & \text { Sum of Squares } & \text { Degrees of Freedom } \
\text { Between } & 16 & 2 \
\text { Within (error) } & 34 & 28 \
\text { Total } & 50 &
\end{array}
\end{array}$$
A) 0.15
B) 0.47
C) 6.59
D) 2.13

Quizplus · Accepted Answer

To calculate the F-test value, we divide the variance between the groups by the variance within the groups. This gives us:

F = [(sum of squares between)/(degrees of freedom between)] / [(sum of squares within)/(degrees of freedom within)]

Plugging in the values given in the table, we get:

F = (16/2) / (34/28) = 8 / (17/14) = 6.588

Therefore, the F-test value is 6.59, which corresponds to choice C.

A) 015 B) 0

A) 015
B) 0