11.3 Consider the following block designs with 5 blocks and with treatments having a 22 factorial structure (with factors A and B, say):

(a) randomized complete block design with 2 samples per EU, and 2 measure- ments per sample;

(b) generalized randomized block design with 4 replications for each treatment per block;

(c) generalized randomized block design with 2 replications for each treatment per block, and 2 observations per EU. For each design: (ii) Write out an appropriate linear model. (ii) Outline the ANOVA table, giving sources of variation, d.f. (for the d.f. give numbers not formulas), and E(MS). (iii) Indicat how you would test for main effects and interactions. (iv) Give the variance for and give its estimator, that is, var(A).