MATH 304 Nonparametric Statistics

Fall 2008

Section 001 1:50 to 2:50 M W F

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

Classroom: Swart 302           Text: Practical Nonparametric Statistics 3rd edition, by W. J. Conover

Catalog Description:  Statistical methods when the functional form of the population is unknown.  Emphasis on applications and comparison of methods.  One and two sample tests, contingency tables, tolerance limits, confidence intervals for means, tests of significance for some measures of correlation, and K-sample tests.  Prerequisite: Mathematics 201 or 301 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.  Students will be engaged in statistical problem solving and will develop intuition concerning data analysis, including the use of appropriate technology.

Grading: Final grades are based on 300 points:

 

Topic

Points

Tentative Date

Exam 1

Inference and Binomial Tests

70 pts.

October 3

Exam 2

Contingency Tables and Rank Tests

70 pts.

November 3

Exam 3

Regression, ANOVA, and K-S Tests

70 pts.

December 12

Homework

10 Points Each

90 pts.

Weekly

Text Box: Final Grades:
Grade	Points (Percent)
A	270 (90 %)
AB	255 (85 %)
B	240 (80 %)
BC	225 (75 %)
C	210 (70 %)
D	180 (60 %)

Homework:  I will collect several homework problems approximately once a week.  The due dates are listed on the course outline below.  While I will only be grading a few problems, I presume that you will be working on many more than just the ones I assign.  I suggest that you work together on the homework for this class. What I expect is a well thought-out, complete discussion of the problem.  Please dont just put down a numerical answer; I want to see how you did the problem.  (You wont get full credit for just numerical answers.)  The method you use is much more important to me than the final answer.

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 Fall 2008 semester are 10:20 to 11:00, Monday, Wednesday, and Friday, and 3:00 to 4:00 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 statistics we will be exploring.  I do not feel that lecturing to you will teach you how to do statistics.  I hope to be your guide while we learn some statistics, but you will need to do the learning.  The textbook we will be using for this class will require you to actually read it to master the material.

My idea of teaching / learning is not Teaching is telling and learning is listening.  I believe that you must be active in the learning process to learn well.  My job as a teacher, therefore, is not to tell you the answers to the problems we will encounter; rather it is to point 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 statistics, not to pass the exams.  (Incidentally, if you have truly learned the material, the exam results will take care of themselves.)

 

Homework 1, due September 12

Chapter 1:        6, 8, 11, 14 pages 64-66

 

Homework 2, due September 22

Chapter 2:        1, 2, 3, 4 pages 119-120

 

Homework 3, due October 1

Chapter 3:        2, 4, 7, 9 pages 250-264

 

Homework 4, due October 17

Chapter 4:        2, 4 pages 195-196
                        2, 4 pages 216-217

 

Homework 5, due October 24

Chapter 4:        1, 3, 5, 11 pages 260-264

 

Homework 6, due October 31

Chapter 5:        2, 4 pages 286-287
                        2, 4 pages 298-299

 

Homework 7, due November 19

Chapter 5:        2 page 310
                        2 page 329
                        2 page 343
                        2 page 349

 

Homework 8, due December 1

Chapter 5:        2, 4 page 365
                        2, 4 pages 385-386

 

Homework 9, due December 3

Chapter 6:        2, 4 pages 441-442
                        2, 6 pages 454-455

Monday

Wednesday

Friday

 

September 1
No Class

September 3
Counting & Probability
Sections 1.1 and 1.2

September 5
Random Variables
Section 1.3

 

September 8
Continuous Random Variables
Sections 1.4 and 1.5

September 10
Populations and Samples
Section 2.1

September 12
Homework 1 Due

Estimation and Testing
Sections 2.2 and 2.3

 

September 15
 More Testing
Sections 2.4 and 2.5

September 17
The Binomial Test
Section 3.1

September 19
The Quantile Test
Section 3.2

 

September 22
Homework 2 Due
More Quantile Tests
Section 3.2

September 24
Tolerance Limits
Section 3.3

September 26
 The Sign Test
Section 3.4

 

September 29
 Variations
Section 3.5

October 1
Homework 3 Due

Review

October 3
Exam 1

 

October 6
2x2 Contingency Tables
Section 4.1

October 8
2x2 Contingency Tables
Section 4.1

October 10
rxc Contingency Tables
Section 4.2

 

October 13
 rxc Contingency Tables
Section 4.2

October 15
 The Median Test
Section 4.3

October 17
Homework 4 Due
Measures of Dependence
Section 4.4

 

October 20
 The Chi-Squared Test
Section 4.5

October 22
Cochran’s Test
Section 4.6

October 24
Homework 5 Due
Wilcoxon’s Test
Section 5.1

 

October 27
Wilcoxon’s Test
Section 5.1

October 29
The Kruskal-Wallis Test
Section 5.2

October 31
Homework 6 Due
Review

 

November 3
Exam 2

November 5
Tests for Variances
Section 5.3

November 7
Measures of Correlation
Section 5.4

 

November 10
Measures of Correlation
Section 5.4

November 12
Nonparametric Regression
Section 5.5

November 14
 Monotonic Regression
Section 5.6

 

November 17
The Signed Ranks Test
 Section 5.7

November 19
Homework 7 Due

The Signed Ranks Test
 Section 5.7

November 21
 The Friedman Test
Section 5.8

 

November 24
Other Tests
Section 5.8

November 26
No Class

November 28
No Class

 

December 1
Homework 8 Due

The Kolmogorov Test
Section 6.1

December 3
 The Kolmogorov Test
Section 6.1

December 5
Test for Families
Section 6.2

 

December 8
The Smirnov Test
Section 6.3

December 10
Homework 9 Due
Review

December 12
Exam 3

 

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Last updated August 26, 2008