A researcher decides to design an experiment consisting of 4 replications of a treatment structure created by combining the 2 levels of factor A with 3 levels of factor B with 2 levels of factor C. The experimenter is concerned about the heterogeneity in the 48 experimental units and hence decides to block the experimental units into 4 groups.
a. Display how you would randomly assign the experimental units to the treatments.
b. Provide the analysis of variance table for this experiment (sources of variation, dfs, and sum of squares).