There are 2 types of RCBD (Randomized Complete Block Designs) with 3 Factors. Type 1: Factor A at the whole plot factor with Factors B and C are applied in combination to the split plots within each whole plot. Type 2: Factors A and B are whole plot factors and Factor C is a split plot factor.

(a) For each type, obtain the Source and df columns for their ANOVA tables, if a =3, b = 2, c = 4, and r = 3 (r=block).

b) (using values in a)) For each of these split-plot designs, state (i) the number of whole plots there are across all blocks, (ii) the number of split plots per whole plot.