A firm is concerned with variability in hourly output at several factories and shifts. Here are the results of an ANOVA using output per hour as the dependent variable (some information is missing). $$\begin{array} { | l | c | c | c | c | }
\hline \text { Source } & \text { Sum of Squares } & \text { df } & \text { Mean Square } & \text { FRatio } \
\hline \text { Factory } & 19012.5 & 1 & 19012.5 & 26.427 \
\hline \text { Shift } & 258.333 & 2 & 129.167 & 0.180 \
\hline \text { Factory*Shift } & 80908.333 & 2 & 40454.167 & 56.230 \
\hline \text { Error } & 8633.333 & 12 & 719.444 & \
\hline \text { Total } & 108812.5 & 17 & 6400.735 & \
\hline
\end{array}$$ The original data matrix has how many treatments (rows × columns)?
A)4
B)6
C)3
D)8

Question

A firm is concerned with variability in hourly output at several factories and shifts. Here are the results of an ANOVA using output per hour as the dependent variable (some information is missing). $$\begin{array} { | l | c | c | c | c | } 
\hline \text { Source } & \text { Sum of Squares } & \text { df } & \text { Mean Square } & \text { FRatio } \
\hline \text { Factory } & 19012.5 & 1 & 19012.5 & 26.427 \
\hline \text { Shift } & 258.333 & 2 & 129.167 & 0.180 \
\hline \text { Factory*Shift } & 80908.333 & 2 & 40454.167 & 56.230 \
\hline \text { Error } & 8633.333 & 12 & 719.444 & \
\hline \text { Total } & 108812.5 & 17 & 6400.735 & \
\hline
\end{array}$$ The original data matrix has how many treatments (rows × columns)?
A)4
B)6
C)3
D)8

Quizplus · Accepted Answer

The original data matrix has 6 treatments, calculated by multiplying the levels of Factory (2 levels) by the levels of Shift (3 levels), resulting in 2 × 3 = 6 treatments.

A Firm Is Concerned with Variability in Hourly Output at Several