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.edu | Office Hours: MWF: 2:00-3:30 or By Appt. |
Course Web Page: | http://www.ces.clemson.edu/ ~ calvinw/mthsc403.html |
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.
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(8^{1}/_{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.
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.
LECTURES | ||
Week/Day | Topic/Chapter | Reading Assigns. |
Week 1 Thursday - August 23^{rd} | 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 ^{th} | No 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 4^{th} | Likelihood Ratio Tests | 12.6 |
Week 15 Thurs. December 6^{th} | FINAL EXAM Preparation and Wrap-Up | |
Final Exam Week | Final Examination | |
Monday December 12^{th} - 6:30-9:30pm |