a. In a 24 experiment, suppose two blocks are to be used, and it is decided to confound...

a. In a 2⁴ experiment, suppose two blocks are to be used, and it is decided to confound the ABCD interaction with the block effect. Which treatments should be carried out in the first block [the one containing the treatment (1)], and which treatments are allocated to the second block?

b. In an experiment to investigate niacin retention in vegetables as a function of cooking temperature (A), sieve size (B), type of processing (C), and cooking time (D), each factor was held at two levels. Two blocks were used, with the allocation of blocks as given in part (a) to confound only the ABCD interaction with blocks. Use Yates’s procedure to obtain the ANOVA table for the accompanying data.

c. Assume that all three-way interaction effects are absent, so that the associated sums of squares can be combined to yield an estimate of σ², and carry out all appropriate tests at level .05.