Consider the 2 4-1 IV design discussed in Example 10-5. (a) Suppose you elect to augment the

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Consider the 24-1IV design discussed in Example 10-5.

(a) Suppose you elect to augment the design with the single run selected in that ex-ample. Find the variances and covariances of the regression coefficients in the model (ignoring blocks):

 y = Bo + Bixi + Bx2 + Bx3 + Baxa + B12X1X2 + B34x3X4 + € %3D


(b) Are there any other runs in the alternate fraction that would dealias AB from CD? 

(c) Suppose you augment the design with the four runs suggested in Example 10-5. Find the variances and covariances of the regression coefficients (ignoring blocks) for the model in part (a).

(d) Considering parts (a) and (c), which augmentation strategy would you prefer, and why?

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