Question

Problem #4 (25). In class. An engineer is interested in the effects of cutting speed (A), too! geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 23 factorial design are run. The results are as follows: Treatment combination Replicate 31 43 34 47 45 37 50 41 25 29 50 32 35 ab 40 ас bc abc 54 47 A. What is the numerical value of "ab?

Answer 1

Answer: ---- Date: ----15/5/2019

ab=148

ac= 113, bc= 164, abc= 127, (- N-3 , a 1)-78 104 , b = 119 , c 127, ab = 148, A=4n [a + ab + ac + abc-(1)-b-c-bc] -b ab bc + abc (1) - a - c- ac] 4n =4n [c + ac + bc + abc-(1)-a-b-ab]

N 3,a 104, b 119, c 127, ab 148, ac- 113, bc- 164, abc 127, (-* 1)- 78 [abc - bc ab-b - ac + c-a + (1)] 4n AB 4n [(1) + a-b-ab-c-ac + bc + abc] 4n BC= ABC = 4n {[abc-bc]-[ac-c]-[ab-b]+[a-(1))) 4n