In: Statistics and Probability
Consider a 2^8-3 fractional factorial design with design generators F=ABC, G=ABD, and H=BCDE
a)Find the complete defining relation and generate the alias structure using the principle(positive) fraction. Second, determine the design resolution (you need to show your justification).
b)List the basic variables and the design configuration (All 32 design points with the + and – signs. You should show the setting for all 8 factors by using the design generators) (Hint: Here there are 5 basic variables which you can use to generate the entire design)