9.2 Consider an experiment with 5 treatments in a RCB design with 10 blocks. The partial ANOVA table is as follows:

(i) Complete the ANOVA table above. (ii) Give the test statistic for testing Ho T = 72 73 74 73 = 0. (iii) Suppose a preplanned comparison of treatments is that of comparing treat- ment 1 against the average of treatments 2 and 3. Give the estimated vari- ance for the estimate of this treatment comparison.

(iv) Suppose you have supplementary information in the form of a variate x. Performing an analysis of covariance you obtain (among other quantities)

(v) Under the analysis of covariance model what is the estimator for the con- trast in (iii) and its estimated variance (use numerical values where possible based on the information provided in this problem).

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Source d.f. SS MS Blocks 135 Treatments Residual Total 100 307