The data in Table 4.6 show the yields of ve varieties of barley in a ran-

domized complete block experiment carried out in Minnesota reported in The Journal of the American Society of Agronomy by Immer et al. (1934).

(a) What would be the purpose of running these experiments in dierent locations and years?

(b) How was variance of experimental error reduced in these experiments?

(c) Compute the ANOVA for the RCB design model (4.1) and determine if there is a signicant dierence in varieties.

(d) Calculate the Relative Eciency, RE, and determine how many exper-

iments would have been needed to have the same power using a com-

pletely randomized (CRD) design.

(e) Use the Tukey method to make pairwise comparisons of the variety mean yields.