Mathematical Sciences 403/603


Instructor: Calvin L. Williams, Ph.D.Course: Intro. to Statistical Theory
Office: 0-323 Martin Hall Class Location: M-302 Martin Hall
Telephone: 656-5241 Class Time: 2:00-3:15 TTh
E-mail: calvinw@ces.clemson.eduOffice Hours: MWF: 2:00-3:30 or By Appt.
Course Web Page: http://www.ces.clemson.edu/ ~ calvinw/mthsc403.html


Text: Probability and Statistical Inference Hogg and Tanis 6th Edition
Supplement(s): Class Notes

Course Description: This course is designed to introduce the student to mathematical statistics and statistical inference. It is designed to put to use some of the concepts in probability (MthSc 400) to make statistical inference that can arise in real world applications. Although there will be some review of some of these concepts, it is assumed and expected that there is sufficient knowledge of probability. With respect to statistical inference, we will discuss those foundational issues imperative to the practical application of statistics.

Being that the first four chapters of the text addresses non-inferential data analysis, probability, and probability distributions, we will briefly review a couple of topics from these chapters discussed in lecture notes and begin in earnest with chapter 5, and cover chapters 5, 6, 7, 8, 10.1,11 omitting 11.5, and 12.1,12.3-12.4.

Topics covered will include: sampling distributions, point and interval estimation, maximum likelihood estimators, method of moments, least squares estimators, tests of hypotheses, likelihood ratio methods, regression and correlation analysis, and introduction to analysis of variance.

There will be several statistical and mathematical packages used to simulate distributions and probabilitic processes that lead to statistical applications. Students should be familiar with one or more of the following: Matlab, SAS, and/or Statistix.

Attendance Policy: All classes should be attended, but, if your are ill stay home. I will accept e-mail or phone messages to that effect. Note that this does not exempt you from turning in homework/projects on time nor taking quizzes at their proposed times. Legitimate excuses must be offered with respect to the day(s) missed. Attendance will be monitored. It is to the instructor's discretion whether an excuse is legitimate or not. Accordingly, the university's policy on religious holidays will be acknowledged and honored.
Tardy Professor Policy: If the instructor is more than 15 minutes late for any class you may leave.

Examination Policy:

There will be four 50 minutes in class closed book quizzes and a final examination, also closed book. Students should bring a calculator, two clean regulation size(81/2") sheets for scratch work to be turned in with exams, and of course something with which to write, preferably pencil. There will be no sharing of calculators, scratch sheets, or writing utensils during the exams. No makeup examinations will be given. Any student who misses an examination without a legitimate excuse,ie, a documented medical excuse, will receive a score of zero for that exam. A student with a legitimate excuse, will receive a final score based on all other class work. More than one missed exam with require withdrawal from the course and/or the receipt of a failing final grade.

Homework and/or Take Home Projects:

There will also be several homework sets and/or take home projects assigned from the text as well as from material covered during class. Although it is imperative that each student be completely comfortable with these assigned problems and projects, group study is encouraged.

Grading Policy: The four 50 minutes in class closed book quizzes will count as 60% of the final grade, homework sets and projects 20%, and final exam 20%. The final exam will cover the more important topics covered during the semester.

Academic Dishonesty: As members of the Clemson University community, we have inherited Thomas Green Clemson's vision of this institution as a ``high seminary of learning." Fundamental to this vision is a mutual commitment to truthfulness, honor, and responsibility, without which we cannot earn the trust and respect of others. Furthermore, we recognize that academic dishonesty detracts from the value of a Clemson degree. Therefore, we shall not tolerate lying, cheating, or stealing in any form. In short, academic dishonesty will not be tolerated. For information regarding the definition of acts of academic dishonesty and the subsequent penalties, you are referred to the 2001-2002 Student Handbook.

LECTURES
Week/Day Topic/Chapter Reading Assigns.
Week 1 Thursday - August 23rd Review of Foundational Concepts
in Statistics. Lecture Notes
Week 2 Tues.-Thurs. Review of Foundational Concepts
in Statistics continued. Lecture Notes
8/28 Tues. Last day to add class
Week 3 Tues.-Thurs. Sampling Distribution Theory 5.1-5.2
9/4 Tues.Last day to drop without record
Week 4 Tues.-Thurs. Distributions of Random Functions
and The Central Limit Theorem 5.3-5.4
Week 5 Tues.-Thurs. Point and Interval Estimation 6.1-6.2
Week 6 Tues.-Thurs. Properties of Estimators 6.3-6.6
Week 7 Tues.-Thurs.Introduction to Statistical Inference 7.1-7.3
Significance and Hypothesis Testing
Week 8 Tues.-Thurs. Test of the Equality of Means 8.1-8.2
Two-factor Analysis of Variance
Week 9 Tues.-Thurs. Regression Analysis 8.3-8.4
October 15-16 thNo Classes - Fall Break
Week 10 - Thurs. Order Statistics 10.1
Week 11 Tues.-Thurs. Multivariate Distributions 11.1-11.3
Week 12 Tues.-Thurs. 11.4-11.6
Week 13 Tues.-Thurs. Advanced Properties of Estimators 12.1-12.3
Week 14 Tues.-Thurs. Large sample theory 12.4-12.5
Week 15 Tues. December 4th Likelihood Ratio Tests 12.6
Week 15 Thurs. December 6th FINAL EXAM Preparation and Wrap-Up
Final Exam Week Final Examination
Monday December 12th - 6:30-9:30pm

File translated from TEX by TTH, version 2.25.
On 21 Aug 2001, 11:44.