Refer to the following partial ANOVA results from Excel (some information is missing). $$\begin{array} { | l | c | c | c | c | }
\hline \text { Source of Variation } & S S & d f & M S & F \
\hline \text { Nozzle setting } & 3.46722 & 1 & 3.46722 & 4.87198 \
\hline \text { Pressure level } & 8.07444 & & 4.03722 & 5.67291 \
\hline \text { Interaction } & 2.80779 & 2 & 1.40389 & 1.97268 \
\hline \text { Error } & 8.54000 & & 0.711667 & \
\hline \text { Total } & 22.8894 & & & \
\hline
\end{array}$$ The form of the original data matrix is:
A)3 × 1 table.
B)1 × 2 table.
C)4 × 3 table.
D)2 × 3 table.

Question

Refer to the following partial ANOVA results from Excel (some information is missing). $$\begin{array} { | l | c | c | c | c | } 
\hline \text { Source of Variation } & S S & d f & M S & F \
\hline \text { Nozzle setting } & 3.46722 & 1 & 3.46722 & 4.87198 \
\hline \text { Pressure level } & 8.07444 & & 4.03722 & 5.67291 \
\hline \text { Interaction } & 2.80779 & 2 & 1.40389 & 1.97268 \
\hline \text { Error } & 8.54000 & & 0.711667 & \
\hline \text { Total } & 22.8894 & & & \
\hline
\end{array}$$ The form of the original data matrix is:
A)3 × 1 table.
B)1 × 2 table.
C)4 × 3 table.
D)2 × 3 table.

Quizplus · Accepted Answer

The ANOVA table shows that there are two factors being considered, nozzle setting and pressure level, and their interaction. The degrees of freedom for nozzle setting is 1, which suggests it has two levels. The degrees of freedom for the interaction term (2) suggests that there are two levels of the nozzle setting factor and two levels of the pressure level factor. Therefore, the original data matrix is likely a 2 × 3 table, with two levels of nozzle setting and three levels of pressure level.

Refer to the Following Partial ANOVA Results from Excel (Some