Question

Complete the following ANOVA summary table for a two-factor fixed-effects ANOVA, where there are three levels of factor A (school) and seven levels of factor B (curriculum design). Each cell includes 14 students. Use a significance level of α=0.05.

Source	SS	DF	MS	F	p
A
B	10902.6
AxB	15786.8
Error	197379
TOTAL	229475.3

              

Decision for the main effect of factor A:

• reject the null H01
• fail to reject the null H01

Decision for the main effect of factor B:

• reject the null H02
• fail to reject the null H02

Decision for the interaction effect between factors A and B:

• reject the null H03
• fail to reject the null H03

How would you summarize the results of this ANOVA?

• one main effect only
• two main effects with no interaction
• one main effect with an interaction
• two main effects with an interaction
• only an interaction effect
• no significant effects

Answer 1

Source	SS	df	MS	F	p vlaue
factor A	5406.90	2	2703.45	3.74	0.0250
factor B	10902.60	6	1817.10	2.51	0.0220
interaction	15786.80	12	1315.57	1.82	0.0450
error	197379.00	273	723.00
total	229475.30	293

Decision for the main effect of factor A: reject the null H01

Decision for the main effect of factor B: reject the null H02

Decision for the interaction effect between factors A and B: reject the null H03

two main effects with an interaction