13.1 Consider the SPD(RCBD, RCBD) with a levels for the whole-plot factor, b levels for the split-plot factor, r replications, and subsampling, that is, n observations for each split-plot. (i) Write out an appropriate model for the observations. (ii) Write out the corresponding ANOVA table. (iii) Indicate how you would test hypotheses about the A-factor, the B-factor and the A x B interaction. (iv) Give the SAS commands for performing the analysis. (v) Using the notation of Section 13.2.4, obtain expressions for var(; - ;) and var(Bk - Bk).