A completely randomized design with an 2 ×3 × 5 factorial treatment structure with n = 6 replications was conducted. Suppose that the levels of factors A and B are randomly selected from a population of levels but the levels of factor C are fixed.
a. Write a linear statistical model for this experiment. Identify all terms in the model and state all conditions that are placed on the terms in the model.
b. Display a partial AOV table including df and expected mean squares for all sources of variation.
c. Provide the ratio of mean squares for all appropriate F tests for determining the significance of variability.