Question

12.14 Using the ANOVA table below at 5% significance Source DF SSMS F P-value Factor A 6.13 6.13 1.94 0.17 Factor B 267.43 267.43 84.44 0 Interaction 17.0 17.01 5.37 0.026 Error 36 114.0 3.17

Answer 1

we need to check the p value to identify whether the factors and interaction effect is signficant or not

at5% signficance level , if the p value is less than 0.05 then it is signficant

so for factor a , it is 0.17 hence not significant
factor b, p value is 0 , hence less than 0.05 so signficant

for interaction term it is 0.026 , which is less than 0.05 , hence signficant