Mathematics 363

Introduction to Statistical Methods

Spring 2010

Course Syllabus

 

 

Week

Dates

Topic

 

References

1

14 Jan

Introduction

Displaying Data

 

New York Times: RŐs power World Wide Oil Consumption

2

19 Jan – 21 Jan

Describing Distributions with Numbers

Assignment 1

Hans RoslingŐs TED lecture

3

26 Jan – 28 Jan

Correlation and Regression

Producing Data

 

The Census Bureau

The Women's Health Initiative

4

2 Feb – 4 Feb

Basics of Probability

Conditional Probability and Independence

 

The Polio Crusade

National Center for Biotechnology Information

5

9 Feb – 11 Feb

Random Variables and Distribution Functions

Assignment 2

 

6

16 Feb – 18 Feb

Expected Values

 

 

 

7

23 Feb – 25 Feb

Examples of Mass Functions and Densities

 

 

8

2 Mar – 4 Mar

The Law of Large Numbers

 

Assignment 3

 

9

9 Mar – 11 Mar

The Central Limit Theorem

 

Exam 1

 

10

23 Mar – 25 Mar

Introduction to Estimation

Methods of Moments

 

 

11

30 Mar – 1 Apr

Unbiased Estimation

Maximum Likelihood Estimation

 

 

12

6 Apr – 8 Apr

Interval Estmation

 

Assignment 4

 

13

13 Apr – 15 Apr

Simple Hypotheses

Composite Hypotheses

 

Receiver Operating Characteristic

14

20 Apr – 22 Apr

 

Likelihood Ratio Tests

t Procedures

 

Confidence Intervals and Tests of Significance

15

27 Apr – 29 Apr

Goodness of Fit

Assignment 5

Exam 2

 

16

4 May

Analysis of Variance

Assignment 6

 

17

11 May

 

 

Final Exam

 

 

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