MATH 386

Linear Statistical Models

Spring 2010

Section 001 1:50 to 2:50 MTW F

Instructor: Dr. Chris Edwards      Phone: 424-1358 or 948-3969     Office: Swart 123

Classroom: Swart 3   Text: Applied Linear Statistical Models 5th edition, by Kutner, Nachtsheim, Neter, and Li.

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 201 or 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

¥     an awareness of the nature and value of regression

¥     a sound, critical approach to interpreting statistics, including possible misuses

¥     facility with statistical calculations and evaluations, using appropriate technology

¥     effective written and oral communication skills

Grading: Final grades are based on 500 points:

 

Topic

Points

Tentative Date

Chapters

Exam 1

One-Factor ANOVA

100 pts.

March 1

15 to 18

Exam 2

Multifactor ANOVA

100 pts.

April 9

19 to 21, 23

Exam 3

Experimental Designs

100 pts.

May 14

24 to 29

Homework

25 Points Each

200 pts.

Mostly Weekly

 

Grades:  Grades will be assigned by the following schedule.

Grade

Points (Percent)

Grade

Points (Percent)

Grade

Points (Percent)

A

450 (90 %)

B-

385 (77 %)

D+

315 (63 %)

A-

435 (87 %)

C+

365 (73 %)

D

300 (60 %)

B+

415 (83 %)

C

350 (70 %)

D-

285 (57 %)

B

400 (80 %)

C-

335 (67 %)

F

284 or fewer

Homework:  I will collect (around) 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 donÕt 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 donÕt 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 2010 semester are 10:20 to 11:00, Monday, Tuesday, Wednesday, and Friday, and 1:50 to 2:50 Tuesday, 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 dayÕs 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.)

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 12

Chapter 19:            19.6, 19.14, 19.15, 19.32

Homework 4, due March 29

Chapter 20:            20.2, 20.4
Chapter 21:            21.5, 21.6

Homework 5, due April 7

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

Homework 6, due April

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

Homework 7, due April

Chapter 28:            28.6, 28.7, 28.14, 28.15

Homework 8, due April

Chapter 29:            29.7, 29.20, 29.21, 29.22

 

Monday

Wednesday

Friday

February 1
Introduction
MATH 301 Review

February 3
Overview
Chapter 15

February 5
Single Factor ANOVA
Sections 16.1 to 16.4

February 8
Partitioning SS
Sections 16.5 to 16.6

February 10
Alternative Model
Section 16.7

February 12
Power
Sections 16.10 to 16.11

February 15
Homework 1 Due
Contrasts
Sections 17.1 to 17.3

February 17
Multiple Comparisons
Sections 17.4 to 17.8

February 19
 Multiple Comparisons
Sections 17.4 to 17.8

February 22
Diagnostics
Sections 18.1 to 18.3

February 24
Remedial Measures
Sections 18.4 to 18.7

February 26
Homework 2 Due
Case Study
Section 18.8

March 1
Exam 1

March 3
Two Factor ANOVA with Replicates
Sections 19.1 to 19.3

March 5
Two Factor ANOVA
Sections 19.4 to 19.7

March 8
Two Factor Multiple Comparisons
Sections 19.8 to 19.10

March 10
Two Factor ANOVA with No Replicates
Chapter 20

March 12
Homework 3 Due
Randomized Blocks -    Model
Sections 21.1 to 21.4

March 15
Randomized Blocks - Analysis
Sections 21.5 to 21.9

March 17
Two Factor ANOVA – Unequal Sample Sizes
Sections 23.1 to 23.4

March 19
Unequal Sample Sizes - Comparisons
Section 23.5

March 29
Homework 4 Due
Multi Factor Models
Sections 24.1 to 24.4

March 31
Multi Factor Tests
Sections 24.5 to 24.7

April 2
Random Models
Sections 25.1 to 25.3

April 5
Mixed Models
Sections 25.4 to 25.7

April 7
Homework 5 Due
Review

April 9
Exam 2
(Testing Center)

April 12
EMS Rules
Appendix D

April 14
Nested Designs
Chapter 26

April 16
Repeated Measures
Chapter 27

April 19
Split Plots
Hicks 13

April 21
BIBDÕs
Sections 28.1 to 28.2

April 23
BIBDÕs
Hicks 16

April 26
Latin Squares
Sections 28.3 to 28.5

April 28
2f Factorials
Sections 29.1 to 29.3

April 30
3f Factorials
Hicks 15

May 3
Fractional Factorials
Hicks 15

May 5
Fractional Factorials
Hicks 15

May 7
Confounding
Hicks 14

May 10
Confounding
Hicks 14

May 12
Review

May 14
Exam 3

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Last updated January 22, 2010