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MFE 2430 DOE Hwk # 2 Friday, 1/19/2018 MFE 2430 Design of Engineering Expts. NAM

ID: 3353117 • Letter: M

Question

MFE 2430 DOE Hwk # 2 Friday, 1/19/2018 MFE 2430 Design of Engineering Expts. NAME: 1) The following data were collected from an experiment in which the following factors (or process input variables) A and B provided the response Y, to changes in the process variables -1 10 -1 DRAW THE DOE RESPONSE PLOTS +1 +1 20 AVG- AVG+) DELTA 1) Evaluate the effect of Variable A: 2) Evaluate the effect of Variable B: 3) Evaluate the effect of the Interaction variable AB: 4) Is the interaction of A and B synergistic or antagonistic ? 5) Specify a model for the input variables versus output responses:

Explanation / Answer

(1) effect of A=((a-(1))+(ab-b))/2=(2(8-10)+(20-6))/2=6

(2) effect of B=(b-(1))+(ab-a))/2=((6-10)+(20-8))/2=4

(3) effect of AB=(ab+(1)-a-b)/2=(20+10-8-6)/2=8

(4) since AB is positive so it is synergistic effect

(5)y=mean+A+B+AB+error