Questions from Engineering Statistics

Q: Consider a 25−1 design with factors A, B,

Consider a 25−1 design with factors A, B, C, D, and E. Construct the design by beginning with a 24 and use E = ABCD as the generator. Show all aliases.

Q: There are six factors and only eight design points can be used

There are six factors and only eight design points can be used. Construct a 26−3 by beginning with a 23 and use D = AB, E = −AC, and F = BC as the generators.

Q: Consider Exercise 15.27. Construct another 26−3 that

Consider Exercise 15.27. Construct another 26−3 that is different from the design chosen in Exercise 15.27. Exercise 15.27: There are six factors and only eight design points can be used. Construct a...

Q: For Exercise 15.27, give all aliases for the six

For Exercise 15.27, give all aliases for the six main effects. Exercise 15.27: There are six factors and only eight design points can be used. Construct a 26−3 by beginning with a 23 and use D = AB,...

Q: In a metallurgy experiment, it is desired to test the effect

In a metallurgy experiment, it is desired to test the effect of four factors and their interactions on the concentration (percent by weight) of a particular phosphorus compound in casting material. Th...

Q: In Myers, Montgomery, and Anderson-Cook (2009),

In Myers, Montgomery, and Anderson-Cook (2009), an application is discussed in which an engineer is concerned with the effects on the cracking of a titanium alloy. The three factors are A, temperature...

Q: A silver-plating process is used to coat a certain type

A silver-plating process is used to coat a certain type of serving tray. When the process is in control, the thickness of the silver on the trays will vary randomly following a normal distribution wit...

Q: Consider an example in which there are two control variables x1 and

Consider an example in which there are two control variables x1 and x2 and a single noise variable z. The goal is to determine the levels of x1 and x2 that are robust to changes in z, i.e., levels of...

Q: Consider the following 23 factorial with control variables x1 and x2 and

Consider the following 23 factorial with control variables x1 and x2 and noise variable z. Can x1 and x2 be chosen at levels for which Var(y) is minimized? Explain why or why not.

Q: Consider Case Study 15.1 involving the injection molding data.

Consider Case Study 15.1 involving the injection molding data. Suppose mold temperature is difficult to control and thus it can be assumed that in the process it follows a normal distribution with mea...