Questions from Engineering Statistics

Q: The following data are obtained from a 23 factorial experiment replicated three

The following data are obtained from a 23 factorial experiment replicated three times. Evaluate the sums of squares for all factorial effects by the contrast method. Draw conclusions.

Q: Consider Exercise 15.5. Compute all 15 effects and do

Consider Exercise 15.5. Compute all 15 effects and do normal probability plots of the effects. (a) Does it appear as if your assumption of negligible three- and four-factor interactions has merit? (b)...

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

In Myers, Montgomery, and Anderson-Cook (2009), a data set is discussed in which a 23 factorial is used by an engineer to study the effects of cutting speed (A), tool geometry (B), and cutting angle (...

Q: Consider Exercise 15.11. Suppose there was some experimental difficulty

Consider Exercise 15.11. Suppose there was some experimental difficulty in making the runs. In fact, the total experiment had to be halted after only 4 runs. As a result, the abbreviated experiment is...

Q: In Exercise 13.6 on page 519, use the Kruskal

In Exercise 13.6 on page 519, use the Kruskal-Wallis test at the 0.05 level of significance to determine if the organic chemical solvents differ significantly in sorption rate. Exercise 13.6: A study...

Q: Consider a 25 experiment where the experimental runs are on 4 different

Consider a 25 experiment where the experimental runs are on 4 different machines. Use the machines as blocks, and assume that all main effects and two-factor interactions may be important. (a) Which r...

Q: An experiment is described in Myers, Montgomery, and Anderson-

An experiment is described in Myers, Montgomery, and Anderson-Cook (2009) in which optimum conditions are sought for storing bovine semen to obtain maximum survival. The variables are percent sodium c...

Q: Oil producers are interested in nickel alloys that are strong and corrosion

Oil producers are interested in nickel alloys that are strong and corrosion resistant. An experiment was conducted in which yield strengths were compared for nickel alloy tensile specimens charged in...

Q: Suppose a second replicate of the experiment in Exercise 15.13

Suppose a second replicate of the experiment in Exercise 15.13 could be performed. (a) Would a second replication of the blocking scheme of Exercise 15.13 be the best choice? (b) If the answer to par...

Q: Consider Figure 15.14, which represents a 22 factorial with

Consider Figure 15.14, which represents a 22 factorial with 3 center runs. If quadratic curvature is significant, what additional design points would you select that might allow the estimation of the...