Discuss why a central composite design would almost always be preferable to a 3k factorial design for fitting a second-order response model.
Answer to relevant QuestionsConsider the leaf spring experiment in Exercise 14.9. Suppose that factor E (quench oil temperature) is very difficult to control during manufacturing. We want to have the mean spring height as close to 7.50 as possible with ...An article in Quality Progress (“For Starbucks, It’s in the Bag”, March 2011, pp. 18-23) describes using a central composite design to improve the packaging of one-pound coffee. The objective is to produce an airtight ...Consider the first-order model yt = 75 + 10x1 + 6x2 (a) Sketch the contours of constant predicted response over the range –1 ≤ xi ≤ + 1, i = 1, 2. (b) Find the direction of steepest ascent. Consider the single-sampling plan found in Exercise 15.8. Suppose that lots of N = 2,000 are submitted. Draw the ATI curve for this plan. Draw the AOQ curve and find the AOQL. A product is supplied in lots of size N = 10,000. The AQL has been specified at 0.10%. Find the normal, tightened, and reduced single-sampling plans from MIL STD 105E, assuming general inspection level II.
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