Statistical Design and the Analysis of Experiments:
STAT 402

Fall 2011
Stat 402
Solutions to Homework #10
Fall 2011
1. Pasture production in New Zealand
Note that we have a twoway factorial treatment structure here, with the treatment factors
variety and manure. There are two experimental units: plot and subplot. My SAS cod
Statistical Design and the Analysis of Experiments:
STAT 402

Fall 2011
Stat 402
Solutions to Homework #8
1. Eects of protein level and protein type on rat weight
My SAS code for each part is given below.
options formdlim =  nodate;
data ratwt;
infile ratwt.txt firstobs=2;
input trt level $ type $ wtgain;
/* sort the data by
Solution to Assignment 1
Convenience Assignment It is easiest to plant one variety on 18 plots on one side of the field and the other variety on the 18 plots on the other side. Below is a picture of such and assignment and the yields, in bushels per acre
Statistical Design and the Analysis of Experiments:
STAT 402

Fall 2011
Stat 402
Solutions to Homework #2
Fall 2011
1. Sample size for survey of farmland value
The focus of this problem is on estimating a mean. Note that = 750.
(a) 3 points. For a single sample mean, the s.e. = / n, so we need to nd n for which
100 = 750/ n,
Statistical Design and the Analysis of Experiments:
STAT 402

Fall 2011
Stat 402
Solutions to Homework #6
Fall 2011
1. Drugs in mice
Below is the lledin ANOVA table.
Source d.f.
SS
litter
4 6.403
drug
3 1.845
error
12 0.637
c.total 19 8.885
MS
0.615
0.0531
F
pvalue
11.58
< 0.001
(a) 3 points. See the d.f. column above. Note
Statistical Design and the Analysis of Experiments:
STAT 402

Spring 2014
STATISTICS 402 Assignment 6 Sample Solution
The activities in this homework involve four treatments; A, B, C, and D and five blocks;
white, blue, green, yellow and pink. The treatments could be food additives, the blocks
litters of mice, and the response
Statistical Design and the Analysis of Experiments:
STAT 402

Fall 2011
Stat 402
Solutions to Homework #5
Fall 2011
General Note: For problem 2, both sources of variability (lot and sample(lot) are random.
There is no xed eect (other than the implicit intercept). In general, the place to start if you have
to do something like
Statistical Design and the Analysis of Experiments:
STAT 402

Spring 2014
STATISTICS 402  Assignment 7
Solution
The Federal Aviation Administration does an experiment on the ability to detect targets on a radar
screen. Two factors are manipulated, the amount of background noise or ground clutter (levels
Low, Medium and High) a
Statistical Design and the Analysis of Experiments:
STAT 402

Fall 2011
Stat 402
Solutions to Homework #1
Fall 2011
Fish oil and vitamin D potency: summary statistics and ttests
You are welcome to do the calculations in SAS or other computer programs, or to do them by
hand. The following are by hand, so you can see how impor
Statistical Design and the Analysis of Experiments:
STAT 402

Spring 2014
STATISTICS 402  Assignment 8
Solution
1. Traffic engineers are interested in the effect on the average traffic speed due to
erecting signs that say Accident Reduction Project Area and regulating the flow of
vehicles onto freeway onramps. The onramps ar
Statistics 402A  Homework #2, Fall 2014
Due: in class on 9/5/2014
1.
There is a study about the growth of barley in response to different salt levels in soil. Suppose that the
researchers are interested in three different levels of salinity. There are a
Geophysical Journal International
Geophys. J. Int. (2014) 197, 11841195
Advance Access publication 2014 March 22
doi: 10.1093/gji/ggu051
Multimode Rayleigh wave proling by hybrid surface
and borehole methods
Shibin Lin and Jeramy C. Ashlock
Department of
Statistical Design and the Analysis of Experiments:
STAT 402

Spring 2014
Statistics 402B
April 8, 2011
Exam 2
Name: _
INSTRUCTIONS: Read the questions carefully and completely. Answer the questions
and show work in the space provided. Give appropriate units with all summary values.
Credit will not be given if work is not shown
Statistical Design and the Analysis of Experiments:
STAT 402

Spring 2014
Stat 402 B Exam 2 Takehome Problems
Due at the beginning of the exam on Friday, April 4, 2014
1. [20 pts] The takehome problem for Exam 1 this semester discussed an experiment
that looked at the effects of the type of music listened to while studying fo
Statistical Design and the Analysis of Experiments:
STAT 402

Spring 2014
Stat 402 B Exam 1 Takehome Problems
Due at the beginning of the exam on Friday, February 14, 2014
1. [30 pts] In 1993 researchers at the University of California at Irvine did an experiment with
36 college undergraduates. The undergraduates took a spatia
Statistical Design and the Analysis of Experiments:
STAT 402

Spring 2014
Statistics 402B
May 5, 2011
Final Exam
Name: _
INSTRUCTIONS: Read the questions carefully and completely. Answer the questions
and show work in the space provided. This is the only work that I will look at. Partial
credit will not be given if work is not
Statistical Design and the Analysis of Experiments:
STAT 402

Spring 2014
Solution to Problem 4; Sample Final Exam from Spring 2011
4. [25 pts] Rosmarinic acid is an antioxidant found in herbs of the mint family. Ursolic
acid, found in apples and other fruits and herbs, is capable of inhibiting growth of
some cancer cells. An e
Statistical Design and the Analysis of Experiments:
STAT 402

Spring 2014
STATISTICS 402  Assignment 4
Solution
1. Oleoresin, which is used to make turpentine and rosin, is obtained from pine trees by cutting
a hole in the bark and collecting the resin that seeps out. We want to design an experiment to
see if the shape of the
Statistical Design and the Analysis of Experiments:
STAT 402

Spring 2014
STATISTICS 402  Assignment 5
Solution
1. Biorenewable plastics have the potential to reduce pollution, reduce space in landfills and
reduce dependence on foreign petroleum. One use of biorenewable plastics is in the
manufacture of disposable plastic cu
Statistics 402A  Homework #5, Fall 2014
Due: in class on 10/03/14
Note: You may want to review the SAS code and output with interpretation for salinity data
discussed in class. You may also use the sample SAS code (hw5.sas) for the homework questions.
Ma
Statistical Design and the Analysis of Experiments
STAT 402

Spring 2014
Lecture 8: Analysis of Variance
Formal Analysis
Partitioning Variability
The Analysis of Variance
ANOVA
Quantify the total amount
of variability and split it
among the sources.
Total Variability
Variability due to
treatments effects.
+
Variability due to
Statistical Design and the Analysis of Experiments
STAT 402

Spring 2014
Lecture 13: Analysis of Popcorn Experiment
Analysis
Informal Analysis
Informal Analysis
Formal Statistical Analysis
Analysis of Residuals
Plot the response (volume of
popped corn) versus the
treatments (cooking times).
Compute summary statistics
for each
Statistical Design and the Analysis of Experiments
STAT 402

Spring 2014
Lecture 14: Comparisons and Residuals
Test of Hypothesis
Conclusion
F Ratio = 40.9837
Pvalue: < 0.0001
Because the Pvalue is so
small we should reject the
null hypothesis.
There are statistically
significant differences
between some of the mean
volumes
Statistical Design and the Analysis of Experiments
STAT 402

Spring 2014
Lecture 12: Popcorn Experiment
Chapter 5
Popcorn Experiment
Chapter 5 revisits some of
the ideas presented in
Chapter 3 and extends
them.
Response?
Conditions?
Experimental Material?
1
Response?
2
Conditions?
Percentage of popped and
unburned popcorn.
Per
Statistical Design and the Analysis of Experiments
STAT 402

Spring 2014
Lecture 11: Experimental Material
Three Decisions
Three Decisions
Chapter 4 looks at the Three
Decision discussed earlier
in more detail.
Response?
Conditions?
Experimental Material?
1
2
Experimental Material
Experimental Material
Experimental material wi
Statistical Design and the Analysis of Experiments
STAT 402

Spring 2014
Lecture 9: Confidence Intervals, Residuals
Formal Analysis
Formal Analysis
The Analysis of Variance
ANOVA
The F Ratio and Pvalue
only indicate if statistically
significant differences exist.
The F Ratio and Pvalue do
not tell you which treatment
means
Statistical Design and the Analysis of Experiments
STAT 402

Spring 2014
Lecture 10: Response and Conditions
Three Decisions
Three Decisions
Chapter 4 looks at the Three
Decision discussed earlier
in more detail.
Response?
Conditions?
Experimental Material?
1
What is the response?
2
Diet Experiment
In the diet experiment the b
Stat 402A, HW 5 answers.
General Notes: I had lots of questions about these problems. Some of you tried to run my SAS code with the new variable names. That didnt give you what you needed, because the design of these studies diered from the design in my e