(a) Produce an alpha design with 37 treatments in four replicates, each replicate comprising seven blocks.

(b) Determine the number of blocks in which each pairwise combination of treatments occurs. Confirm that each combination occurs either in one block or in none.

(c) Determine the number of treatments with which each treatment is combined. How closely do these values approach the ideal outcome?

(d) Invent values for the response variable from this experiment, and perform the appropriate mixed-model analysis.