Instruction 11-4
A campus researcher wanted to investigate the factors that affect visitor travel time in a complex,multilevel building on campus.Specifically,he wanted to determine whether different building signs (building maps versus wall signage)affect the total amount of time visitors require to reach their destination and whether that time depends on whether the starting location is inside or outside the building.Three subjects were assigned to each of the combinations of signs and starting locations,and travel time in seconds from beginning to destination was recorded.An Excel output of the appropriate analysis is given below:
$$\begin{array}{l}
\text { ANOVA }\
\begin{array} { l | r | c | c | c | c | c }
\hline \text { Source of Variation } & { \text { SS } } & \text { df } & { \text { MS } } & F & \text { P-value } & \text { Fcrit } \
\hline \text { Signs } & 14008.33 & & 14008.33 & & 0.11267 & 5.317645 \
\hline \text { Starting Location } & 12288 & & & 2.784395 & 0.13374 & 5.317645 \
\hline
\end{array}
\end{array}$$
-Referring to Instruction 11-4,the within degrees of freedom is
A)1.
B)11.
C)4.
D)8.

Question

Instruction 11-4
A campus researcher wanted to investigate the factors that affect visitor travel time in a complex,multilevel building on campus.Specifically,he wanted to determine whether different building signs (building maps versus wall signage)affect the total amount of time visitors require to reach their destination and whether that time depends on whether the starting location is inside or outside the building.Three subjects were assigned to each of the combinations of signs and starting locations,and travel time in seconds from beginning to destination was recorded.An Excel output of the appropriate analysis is given below:
 $$\begin{array}{l}
\text { ANOVA }\
\begin{array} { l | r | c | c | c | c | c } 
\hline \text { Source of Variation } &  { \text { SS } } & \text { df } &  { \text { MS } } & F & \text { P-value } & \text { Fcrit } \
\hline \text { Signs } & 14008.33 & & 14008.33 & & 0.11267 & 5.317645 \
\hline \text { Starting Location } & 12288 & & & 2.784395 & 0.13374 & 5.317645 \
\hline
\end{array}
\end{array}$$
-Referring to Instruction 11-4,the within degrees of freedom is
A)1.
B)11.
C)4.
D)8.

Quizplus · Accepted Answer

The within degrees of freedom is calculated as the total number of observations minus the number of groups. Here, there are 3 subjects for each combination of signs and starting locations, resulting in 12 total observations (3 subjects x 4 combinations). With 4 groups (2 types of signs x 2 starting locations), the within degrees of freedom is 12 - 4 = 8.

Instruction 11-4 a Campus Researcher Wanted to Investigate the Factors

Instruction 11-4
a Campus Researcher Wanted to Investigate the Factors