STT 215讲解、辅导 Python/Java程序设计

Name: _______________________________________________
1
STT 215 – Design of Experiments
Homework 5
1. (20 Points)
Chapter 3 Problem 3.31 (Use JMP to solve this problem)
An article in the Journal of the Electrochemical Society (Vol. 139, No. 2, 1992, pp. 524-532) describes an
experiment to investigate low-pressure vapor deposition of polysilicon. The experiment was carried out in a
large capacity reactor at Sematech in Austin, Texas. The reactor has several wafer positions, and four of
these positions are selected at random. The response variable is film thickness uniformity. Three replicates
of the experiment were run, and the data are as follows:
Wafer
Positions Uniformity
1 2.76 5.67 4.49
2 1.43 1.70 2.19
3 2.34 1.97 1.47
4 0.94 1.36 1.65
(a) Is there a difference in the wafer positions? Use Use α=0.05.
(b) Estimate the variability due to wafer position.
(c) Estimate the random error component using the method of moments procedure.
(d) Estimate the random error component using the REML method
(e) Analyze the residuals from this experiment and comment on model adequacy.
2
2. (20 Points)
Chapter 4 Problem 4.12S (Use JMP to solve this problem)
A consumer products company relies on direct mail marketing pieces as a major component of its
advertising campaigns. The company has three different designs for a new brochure and want to evaluate
their effectiveness, as there are substantial differences in costs between the three designs. The company
decides to test the three designs by mailing 5,000 samples of each to potential customers in four different
regions of the country. Since there are known regional differences in the customer base, regions are
considered as blocks. The number of responses to each mailing is shown below.
Region
Design NE NW SE SW
1 250 350 219 375
2 400 525 390 580
3 275 340 200 310
(a) Analyze the data from this experiment and draw conclusions
3. (20 Points)
Chapter 4 Problem 4.8 (Use JMP to solve this problem)
Three different washing solutions are being compared to study their effectiveness in retarding bacteria
growth in five-gallon milk containers. The analysis is done in a laboratory, and only three trials can be run
on any day. Because days could represent a potential source of variability, the experimenter decides to use a
randomized block design. Observations are taken for four days, and the data are shown here. Analyze the
data from this experiment (use α = 0.05) and draw conclusions. Treat Days as a random variable.
Days
Solution 1 2 3 4
1 13 22 18 39
2 16 24 17 44
3 5 4 1 22

STT 215讲解 、辅导 Python/Java程序设计

STT 215讲解、辅导 Python/Java程序设计