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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
12. A process that manufactures vinyl for automobile seat covers was studied. Three factors were varied: the proportion of a certain plasticizer (A), the rate of extrusion (B), and the temperature of drying (C). The outcome of interest was the thickness of the vinyl (in mils). A 23 factorial design with four replicates was employed. The results are presented in the following table. (Based on the article “Split-Plot Designs and Estimation Methods for Mixture Experiments with Process Variables,” S. Kowalski, J. Cornell, and G. Vining, Technometrics, 2002:72–79.)
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A B C Thickness
|
–1 |
–1 |
–1 |
7 |
5 |
6 |
7 |
|
1 |
–1 |
–1 |
6 |
5 |
5 |
5 |
|
–1 |
1 |
–1 |
8 |
8 |
4 |
6 |
|
1 |
1 |
–1 |
9 |
5 |
6 |
9 |
|
–1 |
–1 |
1 |
7 |
6 |
5 |
5 |
|
1 |
–1 |
1 |
7 |
7 |
11 |
10 |
|
–1 |
1 |
1 |
6 |
4 5 8 |
||
|
1 |
1 |
1 |
8 |
11 11 9 |
||
a. Estimate all main effects and interactions.
b. Construct an ANOVA table. You may give ranges for the P-values.
c. Is the additive model appropriate? Explain.
d. What conclusions about the factors can be drawn from these results?
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