STAT 513 (Theory of Statistical Inference)
Fall 2022
Instructor
David Hitchcock, associate professor of statistics
Syllabus
Syllabus:(pdf document)
Office Hours -- Fall 2022
Monday, Tuesday, Wednesday, Friday, 10:45 am - 11:45 am, Thursday 10:00-11:00 am or by appointment
or please feel free to make an appointment to see me at other times.
Office: 215C LeConte College
Phone: 777-5346
E-mail: hitchcock@stat.sc.edu
Class Meeting Time
MWF 1:10 pm - 2:00 pm, LeConte College, Room 103
Current Textbook
Mathematical Statistics with Applications, 7th edition. (2008), by Wackerly, D., Mendenhall, W., and Scheaffer, R.
Course Description
513—Theory of Statistical Inference (3) (Prereq: STAT 512 with a grade of C or higher) Hypothesis testing, Neyman-Pearson lemma, likelihood ratio tests, power, the theory of linear models including multiple linear regression and ANOVA, the Chi-square goodness-of-fit test, Chi-square inference for contingency tables, Bayesian inference, and advanced topics including survival analysis (only if time permits).
Purpose:
Upon successful completion of this course, students should be able to: (1) form or calculate and interpret statistical hypotheses, error rates, and power; (2) construct appropriate hypothesis tests for basic settings (e.g., 1-sample and 2-sample for means and variances); (4) perform and derive estimators and tests within linear statistical models; (4) apply and understand the theory of chi-square tests for categorical data; (5) perform and interpret basic Bayesian statistical analyses; (6) understand the fundamentals of survival analysis (time permitting).
Course Notes
You are encouraged to print out these notes ahead of time and bring them to class.
Homework
Homework assignments will be regularly posted under the "Assignments" tab in the Blackboard STAT 513 course page.
Homework Solutions
Homework solutions will be posted under the "Course Content" tab in the Blackboard STAT 513 course page.
Some Additional Practice Problems
R Code for Class Examples
- Instructions for Downloading R
(R is free and can be very useful for a number of the statistical analyses in this class, as well as the project. R is also available at many of the computer labs on campus.)
Project Information
Project Assignment: (pdf document)
Review Sheets
Formula Sheets
- Test 2 Formula Sheet, Fall 2022 (You will also be given various tables from the Appendices with the test, as well as the "Distributions Sheet" from the back cover of the textbook.)
- Test 3 Formula Sheet, Fall 2022 (You will also be given various tables from the Appendices with the test, as well as the "Distributions Sheet" from the back cover of the textbook.)
- Test 3 AND Post-Test 3 Formula Sheet, Fall 2022 (For the final exam, you will also be given various tables from the Appendices with the test, the "Distributions Sheet" from the back cover of the textbook, and all the previous tests' review sheets.)
Exam Solutions
Exam solutions will be posted under the "Course Content" tab in the Blackboard STAT 513 course page.
Exams
- Exam 1: September 16
- Exam 2: October 21
- Exam 3: November 18
- Final Exam: Wednesday, Dec. 7 - 12:30 p.m.