A three-factor experiment is performed to taste test different blends of a fruit juice mixture. The response variable scores how the participant liked the fruit juice based on the answers to a questionnaire. Factor A is the blend of fruit juice with a = 3 levels. Factor B is the gender of the participant with b = 2 levels, male and female. Factor C is the age of the participant with c = 3 age categories. In each experimental configuration n = 5 replicate observations are obtained.
The sums of squares are SSA = 90.65, SSB = 6.45, SSC - 23.44, SSAB = 17.82. SSAC = 24.09, SSBC = 24.64, SSABC = 27.87. and SSE = 605.40. Construct the analysis of variance table. What final model is appropriate to model the fruit juice scores? What is the interpretation of this model?