The article “An Application of Fractional Factorial
Chapter 9, Problem 12E(choose chapter or problem)
The article “An Application of Fractional Factorial Designs” (M. Kilgo, Quality Engineering, 1988:19–23) describes a \(2^{5-1}\) design (half-replicate of a \(2^{5}\) design) involving the use of carbon dioxide \(\mathrm{(CO}_{2})\) at high pressure to extract oil from peanuts. The outcomes were the solubility of the peanut oil in the \(\mathrm{CO}_{2}\) (in mg oil/liter \(\mathrm{CO}_{2}\)), and the yield of peanut oil (in percent). The five factors were \(A: \mathrm{CO}_{2}\) pressure, \(B: \mathrm{CO}_{2}\) temperature, C: peanut moisture, \(D: \mathrm{CO}_{2}\) flow rate, and E: peanut particle size. The results are presented in the following table.
a. Assuming third- and higher-order interactions to be negligible, compute estimates of the main effects and inter- actions for the solubility outcome.
b. Plot the estimates on a normal probability plot. Does the plot show that some of the factors influence the solubility? If so, which ones?
c. Assuming third- and higher-order interactions to be negligible, compute estimates of the main effects and inter- actions for the yield outcome.
d. Plot the estimates on a normal probability plot. Does the plot show that some of the factors influence the yield? If so, which ones?
Equation Transcription:
Text Transcription:
2^5-1
2^5
CO_2
CO_2
A:CO_2
B:CO_2
D:CO_2
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