The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 272, SSA = 22,
SSB = 21, SSAB = 175. Set up the ANOVA table and test for significance using $\alpha$ = 0.05. Show entries to 2 decimals, if necessary. If the answer is zero, enter "0". Use unrounded
intermediate values for calculation.
Source
of Variation
Factor A
Factor B
Interaction
Error
Total
Sum
of Squares
Degrees
of Freedom
Mean
Square
F value p-value
The p-value for Factor A is between 0.025 and 0.05
What is your conclusion with respect to Factor A?
Factor A is significant
The p-value for Factor B is between 0.01 and 0.025
What is your conclusion with respect to Factor B?
Factor B is significant
The p-value for the interaction of factors A and B is less than 0.01
What is your conclusion with respect to the interaction of Factors A and B?
The interaction of factors A and B is significant