The following partial ANOVA table was based on an experiment performed as a two-
ID: 3224926 • Letter: T
Question
The following partial ANOVA table was based on an experiment performed as a two- factor design with 2 levels of factor A, 3 levels of factor B, and 5 observations on each treatment.
a) Fill in the missing entries in the ANOVA table.
b) First test the hypothesis of no interaction between the factors at the .05 level. If appropriate, perform tests of the main effects for the two factors also.
Source of Variation Df Sum of Squares Mean Square F 27 Factor A 32 Factor B 108 Interaction Error 29 227 TotalExplanation / Answer
a)
b) as F stat is higher then F critical for interaction, we conclude that there exist interaction b/w factor A and B,
test of the main effect for then two factors are also significant as F stat is higher then F critical for interaction
Source of Variation df SS MS F Fcritical A 1 27 27 10.8 4.2597 B 2 32 16 6.4 3.4028 Interaction 2 108 54 21.6 3.4028 Error 24 60 2.5 Total 29 227Related Questions
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