Question: An experimenter is interested in the effects of strength of reinforcement (factor A), type of reinforcement (factor B), and sex of the adult administering the reinforcement (factor C) on children's behavior. Each factor consists of two levels. Thirty-two children are randomly assigned to eight cells (i.e., four per cell), one for each of the factor combinations. Using the scores from the individual cells of the model that follow, conduct a three-factor fixed-effects ANOVA (α = .05). If there are any significant interactions, graph and interpret the interactions.
A1B1C1: 3, 6, 3, 3
A1B1C2: 4, 5, 4, 3
A1B2C1: 7, 8, 7, 6
A1B2C2: 7, 8, 9, 8
A2B1C1: 1, 2, 2, 2
A2B1C2: 2, 3, 4, 3
A2B2C1: 5, 6, 5, 6
A2B2C2: 10, 10, 9, 11