Reconstruct the table developed in Exercise 17.2 assuming there are three blocks but that treatment (2,3) is missing in Block 3. Identify the contrasts on cell treatment means and on marginal...

Reconstruct the table developed in Exercise 17.2 assuming there are three blocks but that treatment (2,3) is missing in Block 3. Identify the contrasts on cell treatment means and on marginal treatment means that are free of block effects. Would the analysis of cell means be appropriate for these data? Show why or why not.

Exercise 17.2

Table 17.1 gives the expectations of the cell means for a 2 × 3 factorial in a completely random experimental design. Construct a similar A × B table but for a randomized complete block design with balanced data. Assume the block effects are fixed effects. Include A × B interactions but do not include interactions with blocks. Demonstrate that the expectation of any contrast on treatment means, cell means, or marginal means does not involve block effects.

Table 17.1