Though not a favorite example, this problem is based on the sample demonstration problem used in the book.  The dependent variable is the number of times a student attends the statistics lab during one academic term.  The independent variables are factor A, the attractiveness of the lab instructor, and factor B, the time of day the lab is offered.  The attractiveness levels are 1 for unattractive (ouch), 2 for slightly attractive, 3 for moderately attractive, and 4 for very attractive.  The time of day levels are 1 for afternoon and 2 for evening.  The researcher is exploring whether the attractiveness of the instructor, the time of day, or the interaction of attractiveness and time influences student attendance at the statistics lab.  Students were randomly assigned to a combination of lab instructor and lab time at the start of the term.  There were six students in each cell, and students could attend a maximum of lab sessions.

Unlike the data presentation in the book (grouped matrix format), this data is presented in serial format with categorical variables indicating the levels for each factor.  (This is the format necessary to enter it into SPSS.)

Attractiveness	Time	Labs
1	1	21
1	1	29
1	1	22
1	1	20
1	1	30
1	1	16
2	1	20
2	1	26
2	1	25
2	1	26
2	1	25
2	1	26
3	1	30
3	1	27
3	1	30
3	1	29
3	1	27
3	1	25
4	1	25
4	1	29
4	1	27
4	1	27
4	1	30
4	1	25
1	2	20
1	2	22
1	2	21
1	2	21
1	2	23
1	2	1
2	2	1
2	2	18
2	2	19
2	2	28
2	2	21
2	2	20
3	2	20
3	2	18
3	2	27
3	2	21
3	2	26
3	2	18
4	2	1
4	2	27
4	2	24
4	2	22
4	2	30
4	2	19

Use SPSS to conduct a two-factor fixed-effects ANOVA to determine which, if any, of the main and interaction effects are significant using $\displaystyle \alpha={0.05}$.  Complete the ANOVA summary table.  Report the P-value accurate to 4 decimal places; use 3 decimal places for all other values.

Source	$\displaystyle {S}{S}$	$\displaystyle {d}{f}$	$\displaystyle {M}{S}$	$\displaystyle {F}$	p
Attractiveness ($\displaystyle {A}$)
Time of day ($\displaystyle {B}$)
Interaction $\displaystyle {\left({A}\times{B}\right)}$
Error

Which, if any, of the effects were significant?