A Small-Scale Taste Test Is Conducted to Find Out How $\alpha$

Essay

A small-scale taste test is conducted to find out how the levels of moisture (factor A) and sweetness (factor B) of the cakes are related to people's preference to the cake. Participants' gender (factor C) is also considered. Each factor consists of two levels. Thirty-two participants are assigned to eight cells (i.e., four per cell), one for each of the factor combinations. The following are the scores (rating of the cakes by the participants) from the individual cells:
A₁B₁C₁: 64, 61, 65, 70
A₁B₁C₂: 63, 60, 64, 68
A₁B₂C₁: 73, 76, 72, 71
A₁B₂C₂: 72, 75, 79, 77
A₂B₁C₁: 72, 78, 81, 75
A₂B₁C₂: 74, 73, 75, 69
A₂B₂C₁: 98, 97, 93, 89
A₂B₂C₂: 86, 93, 88, 94
Use SPSS to conduct a three-factor fixed-effects ANOVA ( $\alpha$ = 0.01). If there is (are) any significant interaction(s), graph and interpret the interaction(s).