

STA
4202 Syllabus 
Fall
2013  Design of Experiments 

Text:
Design and Analysis of Experiments, Montgomery, D. C. (8^{th}
Edition) 
Recommended:
SAS/ STAT User's Guide, Vol. 1 & 2 
Instructor:
Dr. Sen 
Office:
14/2706  Phone: 620  3724

Office Hours:
3:00  4:00 P.M. on Mondays, Tuesdays, Wednesdays, and Thursdays, other times by appointments only.


Materials
to be covered: 

Simple
Experiments and Experiments with a single Factor (Chapters
2 & 3) 

Randomized
Blocks, Latin Squares, Balanced Incomplete Block Designs
(Chapter 4) 

Factorial
Designs (Chapter 5) 

The
2^{k} Factorial Design, Blocking and Confounding
(Chapters 6 & 7) 

Experiment
with Random Factors (Chapter 13) 



Grading:
Final grades will be calculated based on a number of assignments,
a midterm and a final
exam. You will use SAS on Virtual Lab. The assignments should be typed
most of the times. I will accept some
hand written assignments if done neatly on regular papers. If
computer output is used, cut and paste
the results. I will not accept any late assignment. Assignments
are listed below so that you can plan ahead.
45% of your grade
will be based on the assignments (it is very important that
you turn in your
assignments on time), 25% is on the midterm, and 30% is on the
final exam, both are in class tests.
VLAB link
http://www.unf.edu/its/services/Virtual_Software.aspx


Important
Dates: 

Holidays:
Sept 2(Monday), Nov. 11 (Monday), Nov. 28  Dec. 1(Thur
 Sat) 

Midterm:
October 9 (Wednesday) 

Last
day to withdraw: November 1, 2013 (Friday) 

Last
day of classes: December 6 (Friday) 

Final
Exam: December 9 (Monday) 1:00  2:50 P.M. 



Dr. Sen
Fall ‘13

STA 4202  Design of Experiments
Assignment # 1

Total 40 points 
Due on 09/04/13 
1. Do the following problems from your text, Montgomery
# 2.1, 2.3, 2.8, 2.16, 2.28, 2.32.
2. The following data were from a study of redblood cell
counts before and after surgery. The
counts were taken on 23 patients, all of whom were of the
same sex and who had the same blood
type. Assume that the blood type follow an approximate normal
distribution.
Count Count
____________________________________ __________________________________
Patient Preop
Postop
Patient
Preop
Postop
_____________________________________ ___________________________________
1 14
0
13 5
6
2 13
26
14
4
0
3
4 2
15
15
3
4 5
4 16
4
2
5 3
1
17
0
3
6 18
8
18
7
0
7 6
0
19
2
0
8 11
3
20
8
13
9 33
23
21
4 24
10 11
2
22
4
6
11 3
2
23
5
0
12 3
2
(a) Make a scatter diagram of the two sets of count. Is there
an apparent relationship between the
two sets of counts?
(b) Suppose we would like to estimate the mean count difference
for the preop and postop
patients for the same sex and same blood type using the given
data. Construct a 95% confidence
interval for the difference of mean count for this group of
patients.

Dr. Sen
Fall '13

STA 4202  Design of Experiments
Assignment # 2 
Total 30 points 
Due on 09/11/13 
1. Use SAS to do # 3.15, 3.16, and 3.17 from the text.

Dr. Sen
Fall '13 
STA 4202  Design of Experiments
Assignment # 3 
Total 30 points 
Due on 09/18/13 

Submit only the relevant computer output. You may consider
the following:
a) ANOVA table
b) residual plots (if asked) with comments
c) multiple comparisons for the means (the one method that you use not all of them).
1. Do # 3.24 from the text. Now answer the following questions
based on the same data.
(d) Construct a set of orthogonal contrasts, assuming that
the four circuit designs may be replaced by
only two designs. Carry out the tests for the contrasts. Use
= .01.
(e) Write the linear model you are using for the problem.
Estimate all the model parameters using your
data.
2. Problem 3.25 from the text.

Dr. Sen
Fall '13 
STA 4202  Design of Experiments
Assignment # 4 
Total 40 points 
Due on 09/25/13 

Do problems 3.20, 3.27, 3.54 (a  e) from the text.
For each problem, state clearly
a) Statement of the hypotheses
b) ANOVA table (if possible) or appropriate test statistics
c) pvalue of the test and your decision
d) residual plot (if asked) with comments
e) multiple comparisons for the means (only the one you use).
For #3.27 use Bartlett's test to determine if the assumption of equal variances is satisfied.

Dr. Sen
Fall '13 
STA 4202  Design of Experiments
Assignment # 5 
Total 50 points 
Due on 10/02/13 

1. Three fertilizers are tried on 27 plots of land in a random
fashions such that each fertilizer is applied
to nine plots. The total yield for each fertilizer type is given
by
_______________________________
Type
_______________________________
1
2
3
T.j 240 320
180
_______________________________
Sum of squares for treatments = 1096.30, SSE = 1440
a. Set up the ANOVA table for the analysis
b. Set up one set of orthogonal contrasts that might be used
on these data.
c. For your first contrast, determine the sum of squares
due to the contrast.
d. For your second contrast, find its standard error.
e. If one wished to compare types 1 and 2 and also the average
of 1 and 3 versus 2, which method
would you recommend and why? Do the comparison.
2. Do problems # 4.1, 4.3, 4.5, and 4.21.
Midterm October 9


Dr. Sen
Fall '13 
STA 4202  Design of Experiments
Assignment # 6 
Total 30 points 
Due on 10/23/13 

1. Do problems # 5.9 and 5.21 from the text.
Write models for each problem identifying wach parameters.
2. For problem # 5.9 estimate model parameters.
You do not have to do #3 since you may find text does not ask question like this. But as a teacher I thought you may like to think about situation like this. Hence the question is not for credit.
3. Three technicians in a chemical plant are given
the task of investigating the chemical yield of a raw
material by applying one of the five experimental treatments.
Three repeat tests are to be made with
each of the five treatments. Design an experiment appropriate
for this study. Is there a blocking factor
in the design? If so, what is it? Write the design explicitly
and identify each factor.

Dr. Sen
Fall '06 
STA 4202  Design of Experiments
Assignment # 7 
Total 30 points 
Due on 10/30/06 

Do problems 6.8, 610 from the text.
You may get your analysis done in SAS. But do
some calculations by hand so that you will be
able to
do it in tests, if necessary. For any significant
effects in 610, test further between the levels
of the
significant factors.

Dr. Sen
Fall '13 
STA 4202  Design of Experiments
Assignment # 8 
Total 30 points 
Due on 11/06/13 

Do problems 6.15 and 6.16 from the text.
You can do Contour plots in SAS, but if you want
to draw the cubes, use hand sketch.
Use any tool you need to make a point.

Dr. Sen
Fall '13 
STA 4202  Design of Experiments
Assignment # 9 
Total 20 points 
Due on 11/13/13 

Do problems 7.5, and 7.6 from the text.
You may get your analysis done in SAS, but should
practice some of the calculations by hand so that
you are
able to derive these results in the final exam,
if asked.

Dr. Sen
Fall '13 
STA 4202  Design of Experiments
Assignment # 10 
Total 30 points 
Due on 11/20/13 

1. Do problems # 13.4, 13.5 and 13.20 from the
text.
2. In a chemical plant, five experimental
treatments are to be used on a basic raw
material in an effort to
increase the chemical yield. Since batches
of raw material may differ, five batches
are chosen at random.
Also, the order of the experiments may affect
yield as well as may the operator who performs
the experiment. Considering order and operators
as further restrictions on randomization,
set up a suitable design for this experiment
that will be least expensive to run. Write
the ANOVA table with DF and outline its
analysis.




Final Exam December 9, 1:00 P.M.  2:50 P.M.
