Mathematics 363

Introduction to Statistical Methods

Fall 2009

Course Syllabus

 

 

Week

Dates

Topic

 

References

1

25Aug – 27Aug

Introduction

Displaying Data

 

New York Times: RŐs power

2

1Sep – 3Sep

Describing Distributions with Numbers

Assignment 1

Hans RoslingŐs TED lecture

3

8Sep – 10Sep

Correlation and Regression

Producing Data

 

The Census Bureau

The Women's Health Initiative

4

15Sep – 17Sep

Basics of Probability

Assignment 2

H1N1 Detection Guidelines

Quick H1N1 Tests

5

22Sep – 24Sep

Random Variables and Distribution Functions

 

 

6

29Sep – 1Oct

Expected Values

 

 

 

7

6Oct – 8Oct

Examples of Mass Functions and Densities

Assignment 3

 

8

13Oct – 15Oct

The Law of Large Numbers

 

 

 

9

20Oct – 22Oct

The Central Limit Theorem

 

Exam 1

 

10

27Oct – 29Oct

Introduction to Estimation

Methods of Moments

 

Notes on Normal Approximation

 

11

3Nov – 5Nov

Unbiased Estimation

Maximum Likelihood Estimation

Assignment 4

 

12

10 Nov – 12Nov

Simple Hypotheses

Composite Hypotheses

 

 

13

17Nov – 19Nov

Likelihood Ratio Tests

 

 

 

14

24Nov

t Procedures

Assignment 5

Confidence Intervals and Tests of Significance

15

1Dec – 3Dec

Goodness of Fit

 

Exam 2

 

16

9Dec

Analysis of Variance

 

Assignment 6

 

17

17Dec

 

Final Exam

 

 

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