For the following ANOVA table, the observed F value is ___________. $$\begin{array} { | c | c | c | c | c | }
\hline \text { Source of Variation } & \text { SS } & \mathrm { df } & \text { MS } & F \
\hline \text { Treatment } & 150 & & & \
\hline \text { Error } & 40 & 20 & & \
\hline \text { Total } & & 23 & & \
\hline
\end{array}$$
A)0.5625
B)50
C)25
D)0.02
E)0.09

Question

For the following ANOVA table, the observed F value is ___________. $$\begin{array} { | c | c | c | c | c | } 
\hline \text { Source of Variation } & \text { SS } & \mathrm { df } & \text { MS } & F \
\hline \text { Treatment } & 150 & & & \
\hline \text { Error } & 40 & 20 & & \
\hline \text { Total } & & 23 & & \
\hline
\end{array}$$
A)0.5625
B)50
C)25
D)0.02
E)0.09

Quizplus · Accepted Answer

The observed F value is calculated by dividing the mean square of the treatment (MST) by the mean square of the error (MSE). First, we need to find the degrees of freedom for the treatment and calculate the mean squares for both treatment and error.Degrees of freedom for treatment (dfT) = Total df - Error df = 23 - 20 = 3.Mean Square for Treatment (MST) = SS (Treatment) / df (Treatment) = 150 / 3 = 50.Mean Square for Error (MSE) = SS (Error) / df (Error) = 40 / 20 = 2.F value = MST / MSE = 50 / 2 = 25.

For the Following ANOVA Table, the Observed F Value Is