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:
Decision for the main effect of factor B:
Decision for the interaction effect between factors A and B:
How would you summarize the results of this ANOVA?
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
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