The partially complete ANOVA table given here is for a two-factor factorial expe
ID: 3048125 • Letter: T
Question
The partially complete ANOVA table given here is for a two-factor factorial experiment
Source
Df
SS
MS
factor A
3
2.25
0.75
Factor B
1
0.95
Interaction
3
0.30
error
16
2.40
0.15
total
6.50
The number of observations collected for this study is
The Sum of Squares for the interaction is equal to
The Sum of Squares for the treatments is equal to
The number of degrees of freedom for the treatments is equal to
The Mean of Squares for factor B is equal to
The F-test for interaction effect is equal to
The rejection region at alpha 0.01 for the test of significance of the interaction is equal to
Source
Df
SS
MS
factor A
3
2.25
0.75
Factor B
1
0.95
Interaction
3
0.30
error
16
2.40
0.15
total
6.50
Explanation / Answer
The number of observations collected for this study is =23+1=24
The Sum of Squares for the interaction is equal to =0.9
The Sum of Squares for the treatments is equal to =2.25 and 0.95
The number of degrees of freedom for the treatments is equal to =3 and 1
The Mean of Squares for factor B is equal to =0.95
The F-test for interaction effect is equal to =3.24
The rejection region at alpha 0.01 for the test of significance of the interaction is equal to =5.29
Source Df SS MS F Value F critical value factor A 3 2.25 0.75 5.00 5.29 Factor B 1 0.95 0.95 6.33 8.53 Interaction 3 0.9 0.3 2.00 5.29 error 16 2.4 0.15 total 20 6.5Related Questions
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