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In the study Durability of Rubber to Steel Adhesively Bonded Joints , conducted at the Department of Environmental Science and Mechanics and analyzed by the Statistics Consulting Center at Virginia...

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In the study Durability of Rubber to Steel Adhesively Bonded Joints, conducted at the Department of Environmental Science and Mechanics and analyzed by the Statistics Consulting Center at Virginia Tech, an experimenter measured the number of breakdowns in an adhesive seal. It was postulated that concentration of seawater A, temperature B, pH C, voltage D, and stress E influence the breakdown of an adhesive seal. A ½ fraction of a 25 factorial experiment was used, with the defining contrast being ABCDE. The data are as follows:

A

B

C

D

E

Response

−1

−1

−1

−1

1

462

1

−1

−1

−1

−1

746

−1

1

−1

−1

−1

714

1

1

−1

−1

1

1070

−1

−1

1

−1

−1

474

1

−1

1

−1

1

832

−1

1

1

−1

1

764

1

1

1

−1

−1

1087

−1

−1

−1

1

−1

522

1

−1

−1

1

1

854

−1

1

−1

1

1

773

1

1

−1

1

−1

1068

−1

−1

1

1

1

572

1

−1

1

1

−1

831

−1

1

1

1

−1

819

1

1

1

1

1

1104

Perform an analysis of variance on main effects and two factor interactions AD, AE, BD, BE, assuming that all three-factor and higher interactions are negligible. Use α = 0.05.

Answered Same Day Dec 24, 2021

Solution

Robert answered on Dec 24 2021
104 Votes
The experiment involves five factors varied at two levels
1/2 fraction of the 2^5 factorial experiment is used with the defining contrast being ABCDE
We need to perform analysis of variance on all five main effects, and the two-factor interactions,
assuming that all three-factor and higher interactions...
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