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MATH 558

Design and Analysis of Experiments

Assignment #4, due Thursday, 30th March 2023, 23h59

1.  Show that the regression model coefficients for 2k  factorial design are one half of effect estimates. (10 points)

2.  Show that the estimated standard error of interaction effect  is  (10 points)

se(Effect) = 

3. Let (X,B) be a (t,b,r,k,λ) BIBD. If b is divisible by r, then show that b ≥ t + r − 1. (10 points)