9.5 Suppose a researcher comes to you with a table of data, obtained from a block design, that looks as follows:

where each x represents one observation. She asks you to analyze the data. (i) How would you determine how to analyze the data? (ii) Describe two experimental plans that could have given rise to this data set. (iii) For each of the plans (designs) you have identified in (ii) give

(a) an associated linear model,

(b) the ANOVA table based on this model,

(c) the variance of a simple treatment comparison,

(d) the estimator for the variance in (c). (iv) Describe how you would do iii

(b) in SAS, including the test of no treatment differences.

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