Mathematics 363

Introduction to Statistical Methods

Spring 2015

Course Syllabus

Course Homepage

Course Textbook

session	date	slides/activity	videos	text pages	check points	worksheet
1	15Jan	Introduction		vii-x
2	20Jan	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	22Jan	Describing Distributions with Numbers 1 Describing Distributions with Numbers 2	B1part1 part2 B2part1 part2	21-31	B1-10 B2-7	Describing Distributions with Numbers tex
4	27Jan	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	29Jan	Correlation and Regression 3 Correlation and Regression 4	C3part1 part2 C4part1 part2	41-48	C3-7 C4-13	Correlation and Regression 2 tex
6	3Feb	Producing Data 1 Producing Data 2	D1part1 part2 D2part1 part2 part3	61-74	D1-8 D2-11	Producing Data tex
7	5Feb	Basics of Probability 1 Basics of Probability 2	E1part1 part2 part3 E2part1 part2 part3	77-92	E1-4,13 E2-4	Basics of Probability tex
8	10Feb	Conditional Probability and Independence 1 Conditional Probability and Independence 2	F1part1 part2 part3 F2part1 part2 part3	93-105	F1-5,7 F2-16	Conditional Probability and Independence tex
9	12Feb	Random Variables and Distribution Functions 1 Random Variables and Distribution Functions 2	G1part1 part2 part3 G2part1 part2	107-115	G1-4,10 G2-6	Random Variables and Distribution Functions 1 tex
10	17Feb	Random Variables and Distribution Functions 3 The Expected Value 1	G3part1 part2 part3 H1part1 part2 part3	116-126 129-131	G3-6 H1-8,13	Random Variables and Distribution Functions 2 tex
11	19Feb	The Expected Value 2 The Expected Value 3	H2part1 part2 part3 H3part1 part2 part3	132-146	H2-6,8 H3-5	The Expected Value tex
12	24Feb	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	26Feb	Project Proposal
14	3Mar	Exam 1
15	5Mar	Law of Large Numbers 1 Law of Large Numbers 2	J1part1 part2 J2part1 part2	167-179	J1-4,8	Law of Large Numbers tex
16	10Mar	Central Limit Theorem 1 Central Limit Theorem 2	K1part1 part2 part3 K2part1 part2 part3	181-198	K1-14,16	Central Limit Theorem 1 tex
17	12Mar	Overview of Estimation 1 Overview of Estimation 2 Method of Moments 1	L1part1 part2 L2part1 part2 part3 M1part1 part2	201-203 204-210 211-214	L1-9 L2-12 M1-11	Central Limit Theorem 2 tex
18	24Mar	Method of Moments 2 Unbiased Estimation 1	M2part1 part2 N1part1 part2 part3	215-219 221-225	M2-14 N1-11	Method of Moments 1 tex
19	26Mar	Unbiased Estimation 2 Maximum Likelihood Estimation 1	N2part1 part2 part3 O1part1 part2	225-234 237-239	N2-13 O1-5	Method of Moments 2 tex
20	31Mar	Maximum Likelihood Estimation 2 Maximum Likelihood Estimation 3 Interval Estimation 1	O2part1 part2 part3 O3part1 part2 P1part1 part2 part3	240-246 247-254 255-261	O2-10 O3-9 P1-10	Maximum Likelihood Estimation 1 tex
21	2Apr	Interval Estimation 2 Interval Estimation 3 Simple Hypotheses 1	P2part1 part2 P3part1 part2 Q1part1 part2 part3	262-267 268-272 275-278	P2-7 P3-6,9 Q1-10	Maximum Likelihood Estimation 2 tex
22	7Apr	Simple Hypotheses 2 Simple Hypotheses 3 Composite Hypotheses 1	Q2part1 part2 part3 Q3part1 part2 part3 R1part1 part2 part3	279-287 288-294 295-298	Q2-9 Q3-11 R1-10	Simple Hypotheses tex
23	9Apr	Project Preparation
24	14Apr	Composite Hypotheses 2 Extensions on the Likelihood Ratio 1	R2part1 part2 part3 S1part1 part2 part3	299-309 311-314	R2-6,8 S1-8	Composite Hypotheses tex
25	16Apr	Extensions on the Likelihood Ratio 2 Extensions on the Likelihood Ratio 3	S2part1 part2 part3 S3part1 part2	315-317 318-325	S2-10,12 S3-8	Extensions on the Likelihood Ratio tex
26	21Apr	t Procedures 1 t Procedures 2 Project Preliminary Report	T1part1 part2 part3 T2part1 part2 part3	327-332 333-343	T1-11 T2-10	t Procedures tex
27	23Apr	Exam 2
28	28Apr	Goodness of Fit 1 Goodness of Fit 2 Project Presentations	U1part1 part2 part3 U2part1 part2 part3	345-351 352-360	U1-13 U2-9
29	30Apr	Analysis of Variance 1 Analysis of Variance 2	V1part1 part2 part3 V2part1 part2	361-366 367-374	V1-7 V2-8	Goodness of Fit/Analysis of Variance tex
30	5May	Project Presentations