MATH 386/586
Linear Statistical Models
Spring 2016
Section 001 1:50 to 2:50 M W F
Instructor: Dr. Chris Edwards Phone: 948-3969 Office: Swart 123
Classroom:
Swart 102 Text: Applied Linear Statistical Models 5th edition, by Kutner,
Nachtsheim, Neter, and Li. I will also use excerpts from
Fundamental Concepts in the Design of
Experiments 5th edition, by Hicks and Turner.
Catalog Description: A unified
approach to the application of linear statistical models in analysis of variance
(ANOVA) and experimental design. In ANOVA, topics from single-factor ANOVA and
multifactor ANOVA will be considered. Experimental design will include
randomized blocks, Latin squares, and incomplete block designs. Prerequisite:
Mathematics 256 and Math 301 each with a grade of C or better.
Course Objectives: The goal of statistics is to gain
understanding from data. This course focuses on critical thinking and active
learning involving statistical regression. Students will be engaged in
statistical problem solving and will develop intuition concerning data
analysis, including the use of appropriate technology. Specifically students
will develop
á
an awareness of the nature
and value of linear models
á
a sound, critical approach to
interpreting statistics, including possible misuses
á
facility with statistical
calculations and evaluations, using appropriate technology
á
effective written and oral communication skills
Grading: Final grades are based on
290 points:
|
Topic |
Points |
Tentative Date |
Chapters |
Exam 1 |
One-Factor ANOVA |
70 pts. |
February 29 |
15 to 18 |
Exam 2 |
Multifactor ANOVA |
70 pts. |
April 15 (In Testing Center) |
19 to 21, 23 |
Exam 3 |
Experimental Designs |
70 pts. |
May 11 |
24 to 29 |
Homework |
10 Points Each |
80 pts. |
Mostly Weekly |
|
Grades: Grades
will be assigned by the following schedule.
Grade |
Points
(Percent) |
Grade |
Points
(Percent) |
Grade |
Points
(Percent) |
A |
261
(90 %) |
B- |
223
(77 %) |
D+ |
183
(63 %) |
A- |
252
(87 %) |
C+ |
212
(73 %) |
D |
174
(60 %) |
B+ |
241
(83 %) |
C |
203
(70 %) |
D- |
165
(57 %) |
B |
232
(80 %) |
C- |
194
(67 %) |
F |
164
or fewer |
Homework: I will collect four homework problems
approximately once every other week. The due dates are listed on the course
outline below. I suggest that you work together in small groups on the homework
if you like, but donŐt forget that I am a resource for you to use. Often we
will use computer software to perform our analyses; include printouts where
appropriate, but please make your papers readable. In other words, I donŐt want
25 pages of printout handed in if you can summarize it in two.
Office Hours: Office
hours are times when I will be in my office to help you. There are many other
times when I am in my office. If I am in and not busy, I will be happy to help.
My office hours for Spring 2016 semester are 10:20 to 11:00, Monday, Tuesday,
Wednesday, and Friday, and 3:00 to 4:00 Monday, or by appointment.
Philosophy: I
strongly believe that you, the student, are the only person who can make
yourself learn. Therefore, whenever it is appropriate, I expect you to discover the mathematics we will
be exploring. I do not feel that lecturing to you will teach you how to do
mathematics. I hope to be your guide while we learn some mathematics, but you will need to do the learning. I
expect each of you to come to class prepared to digest the dayŐs material. That
means you will benefit most by having read each section of the text before
class.
My idea of
education is that one learns by doing. I believe that you must be engaged in
the learning process to learn well. Therefore, I view my job as a teacher as
not telling you the answers to the problems we will encounter, but rather pointing
you in a direction that will allow you to see the solutions yourselves. To
accomplish that goal, I will work to find different interactive activities for
us to work on. Your job is to use me, to use your text, to use your friends,
and any other resources. Keep in mind that the goal is to learn mathematics,
not to pass the exams. (Incidentally, if you have truly learned the material,
the exam results will take care of themselves.)
Math
586 Expectations: Expectations for the graduate students are
understandably more rigorous than for the undergraduate student. Students
taking Math 586 will have an extra theoretical problem added to each homework,
to be assigned during the semester. In addition, a final project worth 50
points will be due at the end of the semester. This project will involve a
complete analysis of a data set, including model estimation, development, and
validation.
Homework 1, due February 15 |
Chapter 15: 15.13,
15.22 |
Homework 2, due February 26 |
Chapter 17: 17.8,
17.14 |
Homework 3, due March 11 |
Chapter 19: 19.6,
19.14, 19.15, 19.32 |
Homework 4, due March 18 |
Chapter 20: 20.2,
20.4 |
Homework 5, due April 6 |
Chapter 23: 23.4 |
Homework 6, due April 20 |
Chapter 26: 26.9,
26.10 |
Homework 7, due April 29 |
Chapter 28: 28.6,
28.7, 28.14, 28.15 |
Homework 8, due May 11 |
Chapter 29: 29.7,
29.20, 29.21, 29.22 |
Monday |
Wednesday |
Friday |
February 1 Day
1 |
February 3 Day
2 |
February 5 Day
3 |
February 8 Day
4 |
February 10
Day 5 |
February 12
Day 6 |
February 15
Day 7 |
February 17
Day 8 |
February 19
Day 9 |
February 22
Day 10 |
February 24
Day 11 |
February 26
Day 12 |
February 29
Day 13 |
March 2 Day 14 |
March 4 Day 15 |
March 7 Day 16 |
March 9 Day 17 |
March 11 Day
18 |
March 14 Day
19 |
March 16 Day
20 |
March 18 Day
21 |
March 28 Day
22 |
March 30 Day
23 |
April 1 Day 24 |
April 4 Day 25 |
April 6 Day 26 |
April 8 Day 27 |
April 11 Day
28 |
April 13 Day
29 |
April 15 Day
30 |
April 18 Day
31 |
April 20 Day
32 |
April 22 Day
33 |
April 25 Day
34 |
April 27 Day
35 |
April 29 Day
36 |
May 2 Day 37 |
May 4 Day 38 |
May 6 Day 39 |
May 9 Day 40 |
May 11 Day 41 |
May 13 Day 42 |
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edwards
Last updated February 5, 2016