

STA
6205 Syllabus 
Fall
2016  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 Tuesdays and Thursdays, 2:00  3:00 P.M.
on Mondays and Wednesdays, other times
by appointment 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 need to use SAS for your homework. 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.
35% of your final
grade will be based on the assignments (it is very important
that you turn in your
assignments on time). You will have one project in the end of the semester. The rest of the final grade
is calculated based on 10% for project, 25% is for the midterm,
and 30% is for the final exam.


Important
Dates: 

Holidays:
Sept 5 (Monday), Nov. 11 (Friday), Nov. 24  26 (Thur
 Sat) 

Midterm:
October 13 (Thursday) 

Last
day to withdraw: November 18, 2016 (Friday) 

Last
day of classes: December 2 (Friday) 

Final
Exam: December 6 (Thursday) 3:00  4:50 P.M. 



Dr. Sen
Fall ‘16

STA 6205  Design of Experiments
Assignment # 1

Total 40 points 
Due on 09/01/16 
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 '16

STA 6205  Design of Experiments
Assignment # 2 
Total 40 points 
Due on 09/08/16 
Dr. Sen
Fall '16 
STA 6205  Design of Experiments
Assignment # 3 
Total 30 points 
Due on 09/15/16 

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).
1. Do # 3.18 from the text. No need for part (e). Now answer the following questions
based on the same data.
(d) Construct a set of orthogonal contrasts, assuming that
only two types may replace four. Carry out the tests for the contrasts. Use
significant level = .01.
(e) Write the linear model you are using for the problem.
Estimate all the model parameters using your
data.
Note: You may expect to see questions like these in tests.
2. Problem 3.25 from the text.

Dr. Sen
Fall '16 
STA 6205  Design of Experiments
Assignment # 4 
Total 30 points 
Due on 09/22/16 

Do problems 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 plots (if asked) with comments
e) multiple comparisons for the means.

Dr. Sen
Fall '16 
STA 6205  Design of Experiments
Assignment # 5 
Total 50 points 
Due on 09/29/16 

1. Three fertilizers are tried on 27 plots of land in a random
fashion 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 4.14 from the text.


Dr. Sen
Fall '16 
STA 6205  Design of Experiments
Assignment # 6 
Total 30 points 
Due on 10/06/16 

1. Do problems #s 4.42, 5.9 and 5.21 from the text. Write models for each oroblem identifying each parameter.
2. For problem # 5.9 estimate model parameters.
Midterm October 13

Dr. Sen
Fall '16 
STA 6205  Design of Experiments
Assignment # 7 
Total 30 points 
Due on 10/27/16 

Do problems 6.8, and 6.10 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 during the exams, if necessary. For any significant
effects in 6.10, test further between the levels
of the
significant factors.
You do not have to do # 2 since you text does not ask question like this. But as a teacher I tought you might like to think about a situation like this. Hence the question is not for credit.
2. 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, which is it? Write the design explicitely and identify each factor.

Dr. Sen
Fall '16 
STA 6205  Design of Experiments
Assignment # 8 
Total 30 points 
Due on 11/03/16 

Do problems 6.15 and 6.16 from the text.
You can do contour plots, surface plots, or the cubes.
Use any tool you need to make a point.

Dr. Sen
Fall '16 
STA 6205  Design of Experiments
Assignment # 9 
Total 30 points 
Due on 11/10/16 

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 '16 
STA 6205  Design of Experiments
Assignment # 10 
Total 30 points 
Due on 11/17/16 

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. 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.



Project due on 11/22/16 
Final Exam December 6, 3:00 P.M.  4:50 P.M.
