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. Conell, and G. Vining, Technometrics, 2002:72-79.) в Thickness -1 -1 -1 -1 -1 -1 -1 -1 11 10 -1 11 11 a Estimate all main effects and interactions. b. Construct an ANOVA table. You may give ranges for the P-values. Is the additive model appropriate? Explain. d. What conclusions about the factors can be drawn from these results?

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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. Conell, and G. Vining,
Technometrics, 2002:72-79.)
в
Thickness
-1
-1
-1
-1
-1
-1
-1
-1
11
10
-1
11
11
a Estimate all main effects and interactions.
b. Construct an ANOVA table. You may give ranges for the P-values.
Is the additive model appropriate? Explain.
d. What conclusions about the factors can be drawn from these results?
Transcribed Image Text: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. Conell, and G. Vining, Technometrics, 2002:72-79.) в Thickness -1 -1 -1 -1 -1 -1 -1 -1 11 10 -1 11 11 a Estimate all main effects and interactions. b. Construct an ANOVA table. You may give ranges for the P-values. Is the additive model appropriate? Explain. d. What conclusions about the factors can be drawn from these results?
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