crional factorial experiment with five factors, A, B, C, D, and E.is shown in th
ID: 3322763 • Letter: C
Question
crional factorial experiment with five factors, A, B, C, D, and E.is shown in the le. The generators are D-AB, E A Order 2 6 7 8 a) Describe this design, in terms of fraction and resolution. b) Write do wn the aliasing structure (you may leave out the 4-factor and 5-factor interactions.) It an analysis finds that is (or B-AD) is significant, and the given conditions cannot help determine whether B or AD is significant, add one run to the existing design to de-alias B and AD, In order to do this, write down the X matrix needed for the following model, and explain why adding this run will have B and AD de- c) aliased. Assuming 3-factor and higher order interactions are not significant. design can you derive by dropping D from the original fraction? Describe the new design in terms of fraction, resolution, defining relation (generators), and aliasing relations (again, leave out the 4-factor and 5-factor interactions.) d) Suppose that Factor D and its interactions are found insignificant. What kindf ACExplanation / Answer
a)A=BCD
A=ABC
B=ACD
C=ABD
D=ABC
AB=CD
AC=BD
BC=AD
b)I=A=CE=ABDE=BCD
B=DE=ACD=ABCE
C=AE=ABD=BCDE
D=BE=ABC=ACDE
A=ABC
B=ACD
C=ABD
D=ABC
AB=CD
AC=BD
BC=AD
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