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 0
Interaction 3 0 0.30
error 16 2.40 0.15
total 0 6.50 0
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 _____
Note: Round off all your answers to two decimal digits
Source | df | SS | MS | F |
A | 3 | 2.25 | 0.75 | 5.00 |
B | 1 | 0.95 | 0.95 | 6.33 |
A*B | 3 | 0.9 | 0.30 | 2.00 |
error | 16 | 2.4 | 0.15 | |
total | 23 | 6.5 |
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 =1 and 3
The Mean of Squares for factor B is equal to =0.95
The F-test for interaction effect is equal to =2.00
The rejection region at alpha 0.01 for the test of significance of the interaction is equal to =5.29
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