Given the following ANOVA table (some information is missing), find the F statistic. $$\begin{array} { l c c c c }
\hline \text { Source } & \text { Sum of Squares } & d f & \text { Mean Square } & F \
\hline \text { Treatment } & 744.00 & 4 & & \
\text { Error } & 751.50 & 15 & \
\hline \text { Total } & 1,495.50 & 19 & \
\hline
\end{array}$$
A)3.71
B)0.99
C)0.497
D)4.02

Question

Given the following ANOVA table (some information is missing), find the F statistic. $$\begin{array} { l c c c c } 
\hline \text { Source } & \text { Sum of Squares } & d f & \text { Mean Square } & F \
\hline \text { Treatment } & 744.00 & 4 & & \
\text { Error } & 751.50 & 15 & \
\hline \text { Total } & 1,495.50 & 19 & \
\hline
\end{array}$$
A)3.71
B)0.99
C)0.497
D)4.02

Quizplus · Accepted Answer

The F statistic is calculated as the ratio of the treatment mean square to the error mean square. First, calculate the mean squares: Treatment Mean Square = Sum of Squares / df = 744 / 4 = 186. Error Mean Square = Sum of Squares / df = 751.5 / 15 = 50.1. Then, F = Treatment Mean Square / Error Mean Square = 186 / 50.1 = 3.71.

Given the Following ANOVA Table (Some Information Is Missing), Find