Contact Details:
Ayona Chatterjee, Room 306,
Email: achatter@westga.edu
Office Phone # 678-839-4142
Course Title: Mathematical Statistics II
Hours Credit: 3 hours
Prerequisites: MATH 4203 / 5203
Course Description: A continuation of MATH 4203, including sampling distributions, estimation, hypothesis testing, regression, analysis of variance and nonparametric tests.
Topics: Sampling distributions, various hypothesis testing scenarios will be looked at. Introduction to concepts of efficiency, consistency, sufficiency and robustness will be considered. Also regression and correlation and simple design of experiments methods will be studied.
Text: Mathematical Statistics with Applications
(Seventh Edition)
Author: John E. Freund
Learning Outcomes:
Upon successful completion of this course, the students will be familiar with various hypothesis testing scenarios. The knowledge of the sampling distributions will help in understanding Design of Experiments. Students will be able to apply regression techniques to various problems. Important concepts in point estimation will also be covered.
Syllabus
Chapter 8: Sampling Distributions
All sections
Chapter 10: Point Estimation
All sections
Chapter 13: Tests of Hypothesis Involving Means, Variances and Proportions
All sections
Chapter 14: Regression and Correlation
14.1 Introduction
14.2 Linear Regression
14.3 The Method of Least Squares
14.4 Normal Regression Analysis (if time permits)
14.5 Normal Correlation Analysis (if time permits)
Chapter 15: Design and Analysis of Experiments
15.1 Introduction
15.2 One-Way Designs
15.3 Randomized-Block Designs
15.4 Factorial Experiments (if time permits)
Chapter 16: Nonparametric Tests
All sections
Grading:
80% best of (4 exams + homework)
20% final
Approximate Test Dates:
Test 1: 25th Jan
Test 2: 15th Feb
Test 3: 13th March
Test 4: 17th April