Mathematics 363

Introduction to Statistical Methods

Fall 2015

Course Syllabus

Course Homepage

Course Textbook

session	date	slides/activity	videos	text pages	check points	worksheet
1	25Aug	Introduction		vii-x
2	27Aug	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	1Sep	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	3Sep	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	8Sep	Correlation and Regression 3 Correlation and Regression 4	C3part1 part2 C4part1 part2	41-50	C3-7 C4-13	Correlation and Regression 2 tex
6	10Sep	Producing Data 1 Producing Data 2	D1part1 part2 D2part1 part2 part3	63-76	D1-8 D2-11	Producing Data tex
7	15Sep	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	17Sep	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	22Sep	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	24Sep	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	29Sep	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	1Oct	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	6Oct	Project Proposal
14	8Oct	Exam 1
15	13Oct	Law of Large Numbers 1 Law of Large Numbers 2	J1part1 part2 J2part1 part2	169-181	J1-4,8	Law of Large Numbers tex
16	15Oct	Central Limit Theorem 1 Central Limit Theorem 2	K1part1 part2 part3 K2part1 part2 part3	183-200	K1-14,16	Central Limit Theorem 1 tex
17	20Oct	Overview of Estimation 1 Overview of Estimation 2 Method of Moments 1	L1part1 part2 L2part1 part2 part3 M1part1 part2	203-205 206-214 215-218	L1-9 L2-12 M1-11	Central Limit Theorem 2 tex
18	22Oct	Method of Moments 2 Unbiased Estimation 1	M2part1 part2 N1part1 part2 part3	219-223 225-229	M2-14 N1-11	Method of Moments 1 tex
19	27Oct	Unbiased Estimation 2 Maximum Likelihood Estimation 1	N2part1 part2 part3 O1part1 part2	230-240 241-243	N2-13 O1-5	Method of Moments 2 tex
20	29Oct	Maximum Likelihood Estimation 2 Maximum Likelihood Estimation 3 Interval Estimation 1	O2part1 part2 part3 O3part1 part2 P1part1 part2 part3	244-250 251-258 259-265	O2-10 O3-9 P1-10	Maximum Likelihood Estimation 1 tex
21	3Nov	Interval Estimation 2 Interval Estimation 3 Simple Hypotheses 1	P2part1 part2 P3part1 part2 Q1part1 part2 part3	266-271 272-276 279-282	P2-7 P3-6,9 Q1-10	Maximum Likelihood Estimation 2 tex
22	5Nov	Simple Hypotheses 2 Simple Hypotheses 3 Composite Hypotheses 1	Q2part1 part2 part3 Q3part1 part2 part3 R1part1 part2 part3	283-290 291-298 299-303	Q2-9 Q3-11 R1-10	Simple Hypotheses tex
23	10Nov	Project Preparation
24	12Nov	Composite Hypotheses 2 Extensions on the Likelihood Ratio 1	R2part1 part2 part3 S1part1 part2 part3	304-313 315-319	R2-6,8 S1-8	Composite Hypotheses tex
25	17Nov	Extensions on the Likelihood Ratio 2 Extensions on the Likelihood Ratio 3	S2part1 part2 part3 S3part1 part2	319-322 322-332	S2-10,12 S3-8	Extensions on the Likelihood Ratio tex
26	19Nov	t Procedures 1 t Procedures 2 Project Preliminary Report	T1part1 part2 part3 T2part1 part2 part3	333-338 339-356	T1-11 T2-10	t Procedures tex
27	24Nov	Exam 2
28	1Dec	Goodness of Fit 1 Goodness of Fit 2 Project Presentations	U1part1 part2 part3 U2part1 part2 part3	357-363 364-372	U1-13 U2-9
29	6Dec	Analysis of Variance 1 Analysis of Variance 2	V1part1 part2 part3 V2part1 part2	373-378 379-386	V1-7 V2-8	Goodness of Fit/Analysis of Variance tex
30	8Dec	Project Presentations