Final exam schedule has been determine; see below.
A test email was sent out on April 16th. I will use that email to send you the personalized exam on May 4th 10:00pm. If you did not receive my test email. Please contact me as soon as possible.

MATH 362: Mathematical Statistics II (section 3425)

2020 Spring, Emory University

Instructor: Dr. Le Chen
Email: le.chen@emory.edu
Office: Math & Science Center - E431
Office Hours: TuTh 10:00am-11:30am or by appointment.
Classroom New Psyc Bldg 290
Class Meeting Times: TuTh, 8:30am-9:45am
Time period: Jan. 14, 2020 (first lecture) --- Apr. 23, 2020 (last class meeting)

Course Description: Math 362 is the second course of a two semester sequence. Math 361 focuses on mathematical probability, while 362 focuses on statistics. We will introduce and use the R language throughout the semester. Here is a tutorial of R programming, 28 lessons: R Tutorial for Beginners
Textbook: Richard J. Larsen and Morris L. Marx, An Introduction to Mathematical Statistics and Its Application, Sixth Edition, by Prientice Hall.
Coverage: We will cover most of the following chapters

Chapter 5 -- Estimate (slides: full or compact)
Chapter 6 -- Hypothesis Testing (slides: full or compact)
Chapter 7 -- Inference Based on the Normal Distribution (slides: full or compact)
Chapter 9 -- Two-Sample Inference (slides: full or compact)
Chapter 10 -- Goodness-of-fit Test (slides: full or compact)
Chapter 11 -- Regression (slides: full or compact)
Chapter 12 -- The Analysis of Variance (slides: full or compact)
Chapter 13 -- Randomized Block Designs (slides: full or compact)

Prerequisite: Math 361.
References: Here are a list of references that I have been using for preparing this class:

Robert V. Hogg, Joseph W. McKean, Allen T. Craig, Introduction to Mathematical Statistics (7th Edition), Pearson, 2013.
Edward J. Dudewicz and Satya N. Mishra, Mordern Mathematical Statistics, Wiley Series in Probability and Statistics, 1988.

Note: The syllabus was created in Oct. 2019, and it is subject to changes during the semester.

Gradescope: We will be using Gradescope (gradescope.com) this term, which allows us to provide fast and accurate feedback on your work. Homework will be submitted through Gradescope, and homework and exam grades will be returned through Gradescope. As soon as grades are posted, you will be notified immediately so that you can log in and see your feedback. Your Gradescope login is your university email, and your password can be changed there. The same link can be used if you need to set your password for the first time. If you have any questions regarding Gradescope, please send your message to help@gradescope.com.
Homework: Homework will be assigned weekly on both Gradescope and Canvas.

Only part of the problem set (randomly chosen) will be graded, however you will receive some credits for completing all homework problems.
Homework is usually due on Tuesday 1:00pm unless announced otherwise.
Solutions will normally be posted on Canvas on each Thursday.
There will be about 11 assignments. The worst one will be dropped.
Please use Gradescope to upload your homework (preferably in pdf file). Login(s): netid@emory.edu. You will need to register this class on Gradescope with the class code: MB46BB.
Please do associate your solutions of each problem with pages on Gradescope. If you solution spread out on several pages, please do associate all the pages; do watch the following video for how. Otherwise, you may end up with zero/partial grade.
Here is a video that shows how to upload your homework to gradescope:

Attendence: You are expected to attend class regularly. You are responsible for all the materials presented and all the announcements made, if any, at each lecture.
Tests and Final: There will be two tests and one comprehensive final exam. Failure to take an exam during the scheduled class time will result in a score of zero for that exam. There will be no make-up exam except for well-documented reasons such as a medical emergency.

Test 1: Feb. 13, Thursday, in class.
Test 2: ~~March 26, Thursday, in class.~~ Cancelled
Final: ~~May 6, 3:00pm-5:30pm, in same classroom.~~.
Take-home exam: May 4th 10:00pm to May 6th 10:00pm.
For more details, see instructions here

Student with disabilities: If you have a disability and would like to request accommodations, please see me to discuss arrangements.
Calculators, laptops, tablets, phones: You may use a calculator such as a TI-83 Plus for doing calculations on the homework. However, calculators are not allowed on the midterms. All cellphones, PDAs, laptops, and any other devices with internet, phone or messaging capabilities must be turned off and put away at the beginning of each class. Laptops, tablets, and cell phones are only permitted when the devices are being required for an activity in class.
Honor Code: The Emory College Honor Code applies to all work in this class, including homework, the project, midterms and the final exam. See here for more information.

Grading Policy: There will be Homework (~~20%~~ 30%), ~~two tests (25%+25%)~~ one test (30%) and the final exam (~~30%~~ 40%).

A: 92% -- 100%, A-: 90% -- 91.9%.
B+: 87% -- 89.9%, B: 82% -- 86.9%, B-: 80% -- 81.9%
C+: 77% -- 79.9%, C: 72% -- 76.9%, C-: 70% -- 71.9%
D+: 67% -- 69.9%, D: 62% -- 66.9%, D-: 60% -- 61.9%
F: 0% -- 59%

Homework assignment: This section will be updated throughout this semester. Please refer this section for the actual assignments.

Homework 1.
§5.2: 1, 2, 3, 4, 5, 6, 7, 12, 17, 18, 19, 20, 21, 23.
§5.4: 4, 6, 7, 9, 11, 14, 17, 19.
Homework 2.
§5.5: 1, 2, 3, 4.
§5.3: 1, 4, 10, 14, 20, 24, 26, 28.
Homework 3.
§5.6: 2, 4, 7, 9, 11.
§5.7: 2, 3.
§5.8: 1, 2, 4, 6, 7.
Homework 4.
§6.2: 1, 3, 8, 9.
§6.3: 1, 4, 7, 9.
§6.4: 4, 7, 8, 9, 10, 13, 14, 20.
Homework 5.
§6.5: 1, 2, 3, 5.
§7.3: 2, 4, 7, 8, 9, 11.
Homework 6.
§7.4: 1, 2, 5, 7, 10, 12, 19, 21.
§7.5: 1, 2, 3, 6, 8, 14, 16.
Homework 7.
§9.2: 2, 5, 13, 15, 20.
§9.3: 3, 5.
§9.4: 2, 6, 9.
§9.5: 2, 5, 7, 12.
Homework 8.
§10.2: 7.
§10.3: 1, 7, 9.
§10.4: 1, 2, 5, 11.
§10.5: 2, 8.
Homework 9.
§11.2: 1, 3, 13, 22.
§11.3: 1, 6, 10, 11, 16.
§11.4: 1, 2, 6, 7, 12, 14.
Homework 10.
§12.2: 1, 2, 4, 7, 9, 10.
§12.3: 1, 4.
Homework 11.
§13.2: 2, 4, 12, 13.

Tentative schedule: Below is a week-by-week listing of the topics to be covered in class. Please note that this schedule is tentative. It may be necessary to make changes to the topics.

Tuesday	Thursday
Jan. 14 §5.2: Estimating parameters, MLE and MME. Slides, R Codes	Jan. 16 §5.4: Properties of Estimator. Slides, Homework-1.
Jan. 21. §5.5: Minimum-Variance Estimator. Slides HW1 due (postponed to Friday, Jan. 24th).	Jan. 23. §5.3: Interval Estimation. Slides R Codes Homework-2.
Jan. 28 §5.6: Sufficient Estimators. §5.7: Consistency. Slides HW2 due.	Jan. 30 §5.8: Bayesian Estimation. Slides, Beta prior codes Gamma prior codes Homework-3,
Feb. 4 §6.1-§6.3 Slides HW3 due	Feb. 6 §6.4 Slides, Codes for Example 6.4.3 Codes for plotting type I and II errors Homework-4,
Feb. 11 HW4 due. Reviewing class.	Feb. 13 First Midterm test.
Feb. 18 §6.5 Slides,	Feb. 20 §7.1 -- §7.3 Slides Homework-5,
Feb. 25 §7.3 Slides, HW5 due.	Feb. 27 §7.4, 7.5 Slides, Homework-6,
Mar. 3 §9.1--9.3 Slides, HW6 due.	Mar. 5 §9.4--9.5 Slides, Homework-7,
Mar. 10 Spring break.	Mar. 12 Spring break.
Mar. 17 Extended spring break	Mar. 19 Extended spring break
Mar. 24 §10.1--10.3 Slides HW7 due.	Mar. 26 §10.3 Slides, Homework-8,
Mar. 31 §10.4--10.5 Slides,	Apr. 2 §11.1--11.2 Slides, Homework-9,
Apr. 7 §11.3 Slides, HW8 due.	Apr. 9 §11.3 Slides, Homework-10,
Apr. 14 §11.4 Slides, HW9 due.	Apr. 16 §12.1--12.2 Slides,
Apr. 21 §12.2--12.3. HW10 due.	Apr. 23 §13.1-13.2 Homework-11, Last class meeting.
Apr. 28 HW11 due.	Apr. 30 no class.