Mathematics 363

Introduction to Statistical Methods

Spring 2014

Course Syllabus

Week	Dates	Topics	Slides	Assignments & Tests	References
1	16Jan	Introduction			International Year of Statistics R’s Power
2	21Jan-23Jan	Displaying Data Describing Distributions with Numbers	Displaying Data 1& 2 Describing Distributions with Numbers 1&2	Assignment 1	The Age of Big Data
3	28Jan-30Jan	Correlation and Regression	Correlation and Regression 1, 2, 3 & 4	Response 1	Hans Rosling’s TED lecture
4	4Feb-6Feb	Producing Data Basics of Probability	Producing Data 1 & 2 Basics of Probability 1 & 2	Assignment 2	Blackawton Bees
5	11Feb-13Feb	Conditional Probability and Independence Random Variables and Distribution Functions	Conditional Probability and Independence 1& 2 Random Variables and Distribution Functions 1 2 & 3	Response 2	International Statistical Institute Declaration on Professional Ethics
6	18Feb-20Feb	The Expected Value	The Expected Value 1 2 & 3
7	25Feb-27Feb	Examples of Mass Functions and Densities Law of Large Numbers	Examples of Mass Functions and Densities 1 & 2 Law of Large Numbers 1 & 2	Assignment 3
8	4Mar-6Mar	Central Limit Theorem Overview of Estimation	Central Limit Theorem 1 & 2 Overview of Estimation 1 & 2
9	11Mar-13Mar	Method of Moments	Method of Moments 1 & 2	Exam 1
10	18Mar-20Mar	Spring Break
11	25Mar-27Mar	Unbiased Estimation Maximum Likelihood Estimation	Unbiased Estimation 1 & 2 Maximum Likelihood Estimation 1, 2 & 3
12	1Apr-3Apr	Interval Estimation	Interval Estimation 1 2 & 3		Scientific Method: Statistical Errors
13	8Apr-10Apr	Simple Hypotheses Composite Hypotheses	Simple Hypotheses 1 2 & 3 Composite Hypotheses 1 & 2	Assignment 4
14	15Apr-17Apr	Extensions on the Likelihood Ratio	Extensions on the Likelihood Ratio 1, 2 & 3	Project Proposal
15	22Apr-24Apr	t Procedures Goodness of Fit	t Procedures 1& 2 Goodness of Fit 1 & 2	Assignment 5
16	30Apr-1May			Project Preliminary Report Exam 1
17	6May	Analysis of Variance	Analysis of Variance 1 & 2	Assignment 6
18	13May			Final Exam Project Report