The eects model:
yijk = + i + j + k + eijk ,
i = 1, . . . , p (treatments)
j = 1, . . . , p (time periods).
k = 1, . . . , n (individuals)
iid
where we make the usual assumptions that eijk N (0, 2 )
Parameter interpretations:
: is the overall mean
i : is
STAT 8200 Design of Experiments for Research Workers
Homework 3 Due Tuesday Oct. 1, 2013
SHOW ALL WORK
1. Consider the following four plots. Describe what each plot tells you about the
assumptions of normality, independence, and constant variance. (Some p
STAT 8200 Design (and Analysis) of Experiments for Research Workers
Course Syllabus* Fall, 2013
Instructor: Dan Hall
Oce Hours: T,Th:1:002:00, and by appointment
Oce: Room 218, Statistics Building Phone: 5423302
Email: [email protected]
Teaching Assistant
Web Resources for STAT 8200
The following list of websites may be useful for STAT 8200. I will add to this list throughout the
semester as more resources come to my attention.
1. R: The R statistical software can be found at
http:/cran.rproject.org/
Here
The SAS System 1
17:26 Monday, June 21, 2004
The MEANS Procedure
Analysis Variable : diff
Mean N Std Error t Value Pr > t

0.2738889 9 0.0450331 6.08 0.0003

The SAS System 2
17:26 Monday, June 21, 2004
The TTEST Procedure
Statistics
* hwk25.sas ;
options nodate pageno=1;
ods graphics on;
ods listing gpath="c:\temp"; * specify the gpath to a directory in which you want graphics files stored.
if this is unspecified, the files may or may not go to a directory to which
you have write
Model 1: Anova on data on original scale
1
The GLM Procedure
Class Level Information
Class
Levels
trt
Values
3
1 2 3
Number of Observations Read
Number of Observations Used
15
15
Model 1: Anova on data on original scale
2
The GLM Procedure
Dependent Varia
STAT 8200 Design of Experiments for Research Workers
Homework 4 Due Tuesday, October 29, 2013
SHOW ALL WORK
Read Chs. 810 of our text (the book by Oehlert). In addition do the following
problems.
1. Do exercise 8.7 on p.202 of our text. In your analysis
STAT 8200 Midterm Exam October 8, 2013
SHOW ALL WORK!
Name:
1. (2 pts each) An experiment is to be conducted to determine the eect of vitamin
D supplementation and exercise on bone health. Female subjects 40 to 49 years
of age with sedentary lifestyles ar
STAT 8200 Midterm Exam II November 14, 2013
SHOW ALL WORK!
Name:
1. Suppose that a crop scientist wanted to study the eects of three factors on cotton
yields: nitrogen added, planting depth, and planting date. The nitrogen factor
has three levels; two lev
STAT 8200 Final Exam December 5, 2013
SHOW ALL WORK!
Name:
1. We wish to study the eect of drought stress on height growth of red maple
seedlings. The factors of interest are the amount of stress and variety of tree.
Stress is at two levels: no stress (th
STAT 8200 Design of Experiments for Research Workers
Homework 1 Due Thursday, August 29, 2013
SHOW ALL WORK
Read Ch.2 from the book by Montgomery, which was handed out in class. The
handout indicates several sections of this chapter that you may skip or
Oneway Random Eects Model (Consider Balanced Case First)
In the oneway layout there are a groups of observations, where each group
corresponds to a dierent treatment and contains experimental units that
were randomized to that treatment. For this situat
STAT 8200 Design and Analysis of Experiments
for Research Workers Lecture Notes
Basics of Experimental Design
Terminology
Response (Outcome, Dependent) Variable: (y) The variable whos
distribution is of interest.
Could be quantitative (size, weight, etc.
Plot of raw data, strength versus pct fiber content
Plot of strength*fiber.
Legend: A = 1 obs, B = 2 obs, etc.
strength
7.9
A
7.8 A
7.7
7.6
7.5
A
7.4 A
A
7.3
A
7.2 A
7.1
7.0
A
6.9
A
6.8
6.7
A
6.6
6.5
6.4
A
6.3
A
6.2
6.1
6.0
5.9
A
5.8
A
*;
* hwk21.sas *;
*;
options nodate pageno=1;
ods graphics on;
ods listing gpath="c:\temp"; * specify the gpath to a directory in which you want graphics files stored.
if this is unspecified, the files may or may not go to a directory to which
you have
STAT 8200 Design of Experiments for Research Workers
Homework 2 Due by 4:30pm, Tuesday, September 17, 2013
SHOW ALL WORK
Important: Your answers should be neat and clearly organized. You may include
selected computer output in your answers and/or append c
The SAS System 1
The GLM Procedure
Class Level Information
Class Levels Values
head 5 1 2 3 4 5
Number of Observations Read 16
Number of Observations Used 16
The SAS System 2
The GLM Procedure
Dependent Variable: wgt
Sum of
Source DF Squares Mea
STAT 8200 Design of Experiments for Research Workers
Homework 5 Due Thursday, Nov. 7, 2013
SHOW ALL WORK
Read Ch.13 from our text. In addition, do the following problems.
1. Do problem 13.5 on pp.349350 of our text. In this problem, it is not spelled out
STAT 8200 Design of Experiments for Research Workers
Lab 1 Due Thursday, August 29, 2013
Example:
In a learning experiment, subjects were given a pretest and a posttest where a treatment
was applied between the two tests. The response variable here is the
STAT 8200 Design of Experiments for Research Workers
Lab 3 Due Monday, Sept. 16, 2013
Example:
An experiment was conducted in which subjects were randomly assigned to one of four
levels of vitamin D supplementation: 2000, 1000, 400, or 0 International Uni
STAT 8200 Design of Experiments for Research Workers
Lab 6 Due: Tuesday, October 15
Example:
Nitrogen dioxide (NO2 ) is an automobile emission pollutant, but less is known
about its eects than other pollutants such as particulate matter. Several animal mo
STAT 8200 Design of Experiments for Research Workers
Lab Due Friday, Sept. 6, 2013
Example:
Zelazo et al. (1972) describe an experiment in which the age at which children rst
walked is studied. Newborn children were randomly placed into one of four treatm
STAT 8200 Design of Experiments for Research Workers
Lab 5 Due Friday, Sept. 27, 2013
Example:
As part of the production of a liquid medication, the producer, a large pharmaceutical
company, mixes batches of medication in large vats. To determine the degr
STAT 8200 Design of Experiments for Research Workers
Lab 10 Due: Tuesday, November 12
Example:
Seven dierent hardwood concentrations are being studied to determine their eect
on the paper produced. However, the pilot plant can only produce three runs each
STAT 8200 Design of Experiments for Research Workers
Lab 7 Due: Monday, Oct. 21
This lab is intended to highlight several ideas in the analysis of twoway layouts:
1. For unbalanced data, there are three distinct types of sums of squares whose values
are
STAT 8200 Design of Experiments for Research Workers
Lab 11 Due: Friday, Nov. 22, 2013
Example:
An experiment is designed to study pigment dispersion in paint. Four dierent
methods of mixing a particular pigment are studied. The procedure consists of prep