Mathematics 363

Introduction to Statistical Methods

Spring 2017

Course Syllabus

 

Course Homepage

Course Textbook

 

session

date

slides/activity

videos

text pages

check points

worksheet

1

12Jan

Introduction

 

vii-x

2

17Jan

Displaying Data 1

Displaying Data 2

A1part1 part2 part3

A2part1 part2 part3

3-19

A1-4,13 A2-9

Sample R Session & Question Sheet

3

19Jan

Describing Distributions with Numbers 1

Describing Distributions with Numbers 2

B1part1 part2

B2part1 part2

21-32

B1-10

B2-7

Describing Distributions with Numbers

tex

4

24Jan

Correlation and Regression 1

Correlation and Regression 2

C1part1 part2

C2part1 part2 part3

33-40

C1-10

C2-10

Correlation and Regression 1

tex

5

26Jan

Correlation and Regression 3

Correlation and Regression 4

C3part1 part2

C4part1 part2

41-50

C3-7

C4-13

Correlation and Regression 2

tex

6

31Jan

Producing Data 1

Producing Data 2

D1part1 part2

D2part1 part2 part3

63-76

D1-8

D2-11

Producing Data

tex

7

2Feb

Basics of Probability 1

Basics of Probability 2

E1part1 part2 part3

E2part1 part2 part3

79-93

E1-4,13 E2-4

Basics of Probability

tex

8

7Feb

Conditional Probability and Independence 1

Conditional Probability and Independence 2

F1part1 part2 part3

 

F2part1 part2 part3

95-107

F1-5,7

 

F2-10

Conditional Probability and Independence

tex

9

9Feb

Random Variables and Distribution Functions 1

Random Variables and Distribution Functions 2

G1part1 part2 part3

 

G2part1 part2

109-118

G1-4,10

 

G2-6

Random Variables and Distribution Functions 1

tex

10

14Feb

Random Variables and Distribution Functions 3

The Expected Value 1

G3part1 part2 part3

 

H1part1 part2 part3

119-130

 

131-134

G3-6

 

H1-8,13

Random Variables and Distribution Functions 2

 tex

11

16Feb

The Expected Value 2

The Expected Value 3

H2part1 part2 part3

H3part1 part2 part3

134-148

H2-6,8

H3-5

The Expected Value

tex

12

21Feb

Examples of Mass Functions and Densities 1

Examples of Mass Functions and Densities 2

I1part1 part2

 

I2part1 part2 part3

149-165

I1-5

 

I2-14

Examples of Mass Functions and Densities

tex

13

23Feb

Project Proposal

14

28Feb

Exam 1

15

2Mar

Law of Large Numbers 1

Law of Large Numbers 2

J1part1 part2

J2part1 part2

173-185

J1-4,8

Law of Large Numbers

tex

16

7Mar

Central Limit Theorem 1

Central Limit Theorem 2

K1part1 part2 part3

K2part1 part2 part3

187-205

K1-14,16

Central Limit Theorem 1

tex

17

9Mar

Overview of Estimation 1

Overview of Estimation 2

Method of Moments 1

L1part1 part2

L2part1 part2 part3

M1part1 part2

209-211

212-221

223-226

L1-9

L2-12

M1-11

Central Limit Theorem 2

tex

18

21Mar

Method of Moments 2

Unbiased Estimation 1

M2part1 part2

N1part1 part2 part3

227-231

233-236

M2-14

N1-11

Method of Moments 1

tex

19

23Mar

Unbiased Estimation 2

Maximum Likelihood Estimation 1

N2part1 part2 part3

O1part1 part2

237-251

253-254

N2-13

O1-5

Method of Moments 2

tex

20

28Mar

Maximum Likelihood Estimation 2

Maximum Likelihood Estimation 3

Interval Estimation 1

O2part1 part2 part3

O3part1 part2

P1part1 part2 part3

243-262

263-271

273-279

O2-10

O3-9

P1-10

Maximum Likelihood Estimation 1

tex

21

30Mar

Interval Estimation 2

Interval Estimation 3

Simple Hypotheses 1

P2part1 part2

P3part1 part2

Q1part1 part2 part3

280-287

288-292

295-299

P2-7

P3-6,9

Q1-10

Maximum Likelihood Estimation 2

tex

22

4Apr

Simple Hypotheses 2

Simple Hypotheses 3

Composite Hypotheses 1

Q2part1 part2 part3

Q3part1 part2 part3

R1part1 part2 part3

300-307

308-315

315-318

Q2-9

Q3-11

R1-10

Simple Hypotheses

tex

23

6Apr

Project Preparation

 

 

 

 

24

11Apr

Composite Hypotheses 2

Extensions on the Likelihood Ratio 1

R2part1 part2 part3 S1part1 part2 part3

319-329

330-333

R2-6,8

S1-8

Composite Hypotheses

tex

25

13Apr

Extensions on the Likelihood Ratio 2 Extensions on the Likelihood Ratio 3

S2part1 part2 part3

S3part1 part2

334-337

338-349

S2-10,12

S3-8

Extensions on the Likelihood Ratio

tex

26

18Apr

t Procedures 1

t Procedures 2

Project Preliminary Report

T1part1 part2 part3

T2part1 part2 part3

351-355

356-372

T1-11

T2-10

t Procedures

tex

27

20Apr

Exam 2

 

 

 

 

28

25Apr

Goodness of Fit 1

Goodness of Fit 2

Project Presentations

U1part1 part2 part3

U2part1 part2 part3

373-379

380-389

U1-13

U2-9

 

29

27Apr

Analysis of Variance 1

Analysis of Variance 2

V1part1 part2 part3

V2part1 part2

391-396

397-404

V1-7

V2-8

Goodness of Fit/Analysis of Variance

tex

30

2May

Project Presentations