A Researcher Wanted to Examine the Effects of Types of Diet

Essay

A researcher wanted to examine the effects of types of diet (factor A) and the age (factor B) on the weight gains of sheep. Diet type has four levels (i.e., four types of diet) and age has two levels (younger than one year old and older than one year old). Five sheep were assigned to each of the eight cells. The following are the scores (weight gains) from the individual cells:
A₁B₁: 11.8, 11.7, 11.1, 10.7, 10.4
A₁B₂: 11.1, 9.8, 9.5, 9.2, 8.8
A₂B₁: 10.2, 10.0, 8.7, 8.1, 7.3
A₂B₂: 8.6, 8.2, 7.7, 7.4, 5.6
A₃B₁: 12.0, 10.8, 10.5, 10.2, 10.2
A₃B₂: 10.7, 9.8, 9.7, 9.5, 8.9
A₄B₁: 9.8, 9.6, 9.4, 9.1, 7.9
A₄B₂: 8.0, 7.4, 7.4, 6.7, 5.8
Use SPSS to conduct a two-factor fixed-effects ANOVA to determine if there are any effects due to diet type, diet amount, or the interaction ( $\alpha$ = 0.05). Conduct Tukey HSD post hoc comparisons, if necessary. (Presume all assumptions of ANOVA are satisfied.)