Consider the 2^6€“2design in Table 14-29.

(a) Suppose that after analyzing the original data, we find that factors C and E can be dropped. What type of 2^k design is left in the remaining variables?

(b) Suppose that after the original data analysis, we find that factors D and F can be dropped. What type of 2^k design is left in the remaining variables? Compare the results with part (a). Can you explain why the answers are different?

Table 14-29

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Observed Shrinkage (x10) F = BCD Run E= ABC 1 6. 10 3 32 4 60 4 6. 15 26 60 9. 8. 10 12 11 34 12 60 13 16 14 15 37 16 52 + + ++ | + + III I + + + I + II + + + + A II + + |I + + I I + + + | + I +I +