Dr Numerus Wanted to Examine Two Different Methods to Teach

Essay

Dr. Numerus wanted to examine two different methods to teach number theory. He randomly selected six instructors from the department and assigned three of them to use method 1 and three of them to use method 2. There were 20 students in each instructor's class. At the end of the semester, Dr. Numerus collected the test scores from all six classes and ran a two-factor hierarchical ANOVA. Below is the selected output generated by SPSS.
Test of Between-Subjects Effects

$\begin{array}{ccccc}\hline \text { Source } & \text { Type III SS } & d f & \text { MS } & F \\\hline \mathrm{A} & 764.54 & 1 & 764.54 & 64.23993 \\\mathrm{~B}(\mathrm{~A}) & 944.22 & 4 & 236.06 & 19.83435 \\\text { Within } & 1356.75 & 114 & 11.90 & \\\text { Total } & 3065.51 & 119 & & \\\hline\end{array}$

a. Identify factor A and factor B.
b. For each factor, identify whether it is a fixed-effects or random-effects factor.
c. Is the SPSS ANOVA summary table correct? If not, correct the erroneous part(s).
d. What conclusions can you draw from the correct test results? (Use $\alpha$ = .05)