STAT 702/J702

Introduction to Statistical Theory I

Fall, 2001

Location: BA 204

Time: MW 4:00 - 5:15 p.m.

Instructor: W. J. Padgett
Email: padgett@stat.sc.edu
Phone: 803-777-5076 or 777-7800
Fax: 803-777-4048

Description:

Introduction to Statistical Theory I (3) (Prereq: MATH 241) Fundamental theory of statistics and how it applies to industrial problems. Topics include probability, random variables and vectors and their distributions, sampling theory, point and interval estimators, and application to the theory of reliability, regression, process control and quality issues. Not to be used for M.S. or Ph.D. credit in Statistics.

Purpose of Course:

To expose the student to the basic concepts of theoretical statistics necessary for the solid understanding of the statistical procedures and methods typically used by practicing industrial/business personnel at an advanced level. Primarily for students in the Master of Industrial Statistics program.

Current Textbook:

Mathematical Statistics and Data Analysis, 2nd Edition, John A. Rice, Duxbury Press, 1995.

Topics:

	 		   		 (Chapter/Section)   	          Dates

Introduction to Probability:	            (Chapter 1)	          Aug. 27 - Sept. 10
  Sample spaces; events; counting
  methods; axioms;laws of probability;
  conditional probability; independence;
  Bayes' rule.

Random Variables and Distributions:
  1. Discrete Distributions: Densities;   (Chapter 2-Sect. 1,     Sept. 12 - Sept. 24
  distributions; expectation; generating     part of Chapter 4)
  functions; various discrete distributions.

TEST 1:  Distributed on September 26; Due Monday, October 1, by 5:15 p.m.

  2. Continuous Distributions: Densities; (Chapter 2-Sects.2-3,	  Oct. 1 - Oct. 29
  distributions; expectations; moment	     part of Chapter 4)
  generating functions; gamma, normal,
  Weibull distributions and applications 
  to life testing and quality control, in 
  particular; Chebyshev's inequality;
  normal approximations; transformation of 
  variables.

  3. Joint Distributions: Discrete and    (Sects. 3.1 - 3.4)       Oct. 31 - Nov. 7
  continuous cases; independence.               

TEST 2:  Distributed on November 7;  Due Monday, November 12, by 5:15 p.m.

  Covariance; correlation;                (Sects. 3.5, 4.3, 4.4)   Nov. 12 - Nov. 19
  conditional distributions and
  expectations with applications.

Sampling Distributions:		          (Chapters 5 and 6 )	   Nov. 26 - Dec. 5
  Laws of large numbers; central limit  
  theorem;  chi-square, t, and F 
  distributions;  distribution of sample 
  mean and sample variance. 
  Introduction to inference.

FINAL EXAM: Distributed on December 5; Due by 5:00 p.m. December 12.

Tests and Exams:

The two mid-term tests, as well as the final examination, will be "take-home" exams. You are to do your own work on them and turn them in by the stated due dates.

Homework:

Homework problems will be assigned daily, mostly from the textbook, and the assignments will be posted on the Course Web Page (just click on the "Homework" link). Some problems will be turned in (labeled "T") on specified dates and graded (Distance students submit by fax). Other problems will be exercises (labeled "E") and not turned in. The exercises are assigned for your practice and to help your understanding of the material. You are allowed to work together on the exercises ("E" problems) only. You are to do your own work on the assignments to be turned in ("T" problems), although you can consult other books if needed.

Grading:

The final semester grade will be determined by the following weighting:

Tests 1 and 2 - 50%

Homework - 20%

Final Examination - 30%
The overall semester grading scale (percentage) will be:
At least 90% = A; 86-89% = B+; 80-85% = B; 76-79% = C+; 70-75% = C; 66-69% =D+; 60-65%=D; less than 60%=F.

Office Hours:

MW 1:30-3:30 p.m. or call (803-777-5076 or 777-7800), or send e-mail to padgett@stat.sc.edu.

Contact: W. J. Padgett