A split-plot experiment was conducted in a completely randomized design with the whole plot treatment consisting of the cross of two factors: factor A having five levels and factor B having three levels. The split-plot treatment is a single factor C having four levels. There were a total of two replications of the whole plot treatments. Assume that factors A, B, and C have fixed levels.
a. Explain a method of randomizing the experimental units to the levels of factors A, B, and C in this experiment.
b. Write a linear model for this experiment. Make sure to identify each of the terms in the model and list the range of values for all subscripts.
c. Construct an analysis of variance table for this experiment including columns for sources of variation, degrees of freedom, and expected mean squares.