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
Chapter 16:            16.7, 16.25

Homework 2, due February 26

Chapter 17:            17.8, 17.14
Chapter 18:            18.4, 18.23

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
Chapter 21:            21.5, 21.6

Homework 5, due April 6

Chapter 23:            23.4
Chapter 24:            24.12, 24.13
Chapter 25:            25.3

Homework 6, due April 20

Chapter 26:            26.9, 26.10
Chapter 27:            27.3, 27.4

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
Introduction
MATH 301 Review

February 3 Day 2
Overview
Chapter 15

February 5 Day 3
Single Factor ANOVA
Sections 16.1 to 16.4

February 8 Day 4
Partitioning SS
Section 16.5

February 10 Day 5
F-Test / Alternative Model
Sections 16.6 to 16.7

February 12 Day 6
Power
Sections 16.10 to 16.11

February 15 Day 7
Homework 1 Due
Contrasts
Sections 17.1 to 17.3

February 17 Day 8
Multiple Comparisons I
Sections 17.4 to 17.5

February 19 Day 9
 Multiple Comparisons II
Sections 17.6 to 17.7

February 22 Day 10
Diagnostics
Sections 18.1 to 18.2

February 24 Day 11
Remedial Measures
Sections 18.5 to 18.7

February 26 Day 12
Homework 2 Due
Case Study / Review
Section 18.8

February 29 Day 13
Exam 1

March 2 Day 14
Two Factor ANOVA with Replicates
Sections 19.1 to 19.3

March 4 Day 15
Two Factor ANOVA
Sections 19.4 to 19.7

March 7 Day 16
Two Factor Multiple Comparisons
Sections 19.8 to 19.10

March 9 Day 17
Two Factor ANOVA with No Replicates
Chapter 20

March 11 Day 18
Homework 3 Due
Randomized Blocks - Model
Sections 21.1 to 21.4

March 14 Day 19
Randomized Blocks - Analysis
Sections 21.5 to 21.9

March 16 Day 20
Unequal Two Factor ANOVA
Sections 23.1 to 23.2

March 18 Day 21
Homework 4 Due
Unequal Comparisons
Sections 23.3 to 23.4

March 28 Day 22
 Multi Factor Models
Sections 24.1 to 24.4

March 30 Day 23
Multi Factor Tests
Sections 24.5 to 24.7

April 1 Day 24
Random Models
Sections 25.1 to 25.3

April 4 Day 25
Mixed Models
Sections 25.4 to 25.7

April 6 Day 26
Homework 5 Due
Review

April 8 Day 27
EMS Rules
Appendix D

April 11 Day 28
Nested Designs
Chapter 26

April 13 Day 29
Repeated Measures
Chapter 27

April 15 Day 30
Exam 2
(Testing Center)(No Class)

April 18 Day 31
Split Plots
Hicks 13

April 20 Day 32
Homework 6 Due
BIBDŐs
Sections 28.1 to 28.2

April 22 Day 33
BIBDŐs
Hicks 16

April 25 Day 34
Latin Squares
Sections 28.3 to 28.5

April 27 Day 35
2f Factorials
Sections 29.1 to 29.3

April 29 Day 36
Homework 7 Due
3f Factorials
Hicks 15

May 2 Day 37
Fractional Factorials I
Hicks 15

May 4 Day 38
Fractional Factorials II
Hicks 15

May 6 Day 39
Confounding
Hicks 14

May 9 Day 40
Confounding
Hicks 14

May 11 Day 41
Homework 8 Due
Review

May 13 Day 42
Exam 3

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Last updated February 5, 2016