Hello, dear friend, you can consult us at any time if you have any questions, add WeChat: daixieit

SYLLABUS: STAT 6201

MATHEMATICAL STATISTICS

AUTUMN 2021

Course overview

Course description

Statistics 6201 offers an introduction to some of the core concepts from probability theory and statistical inference. Topics covered include probability, random variables, expectation, moment generating functions, discrete and continuous distributions, limit theorems, maximum likelihood and Bayesian estimation, confidence intervals, hypothesis tests, Neyman-Pearson lemma, t and F tests.

Course learning outcomes

By the end of this course, students should successfully be able to:

● Work with and derive univariate and multivariate distributions.

● Derive distributions of transformed random variables.6

● Formulate, construct and interpret confidence intervals about parameters in a statistical model.

● Formulate statistical hypotheses, construct appropriate hypotheses tests and interpret results.

Course materials

Required textbook:

Probability and Statistics by Morris H. DeGroot and Mark H. Schervish (Pearson, ISBN: 978-0321500465)

Course technology

For help with your password, university e-mail, Carmen, or any other technology issues, questions, or requests, contact the OSU IT Service Desk. Standard support hours are available at https://ocio.osu.edu/help/hours, and support for urgent issues is available 24x7.

● Self-Service and Chat support: http://ocio.osu.edu/selfservice

● Phone: 614-688-HELP (4357)

● Email: [email protected]

● TDD: 614-688-8743

Baseline technical skills necessary for online courses

● Basic computer and web-browsing skills

● Navigating Carmen

Technology skills necessary for this specific course

● CarmenZoom

● Collaborating in CarmenWiki

● Recording a slide presentation with audio narration

● Recording, editing, and uploading video

Necessary equipment

● Computer: current Mac (OS X) or PC (Windows 10+) with high-speed internet connection

● Webcam: built-in or external webcam, fully installed

● Microphone: built-in laptop or tablet mic or external microphone6

Necessary software

● On occasion, I may use the statistical software package called R (The R Project for Statistical Computing; http://www.r-project.org/) to illustrate certain aspects. However, this software is not a requirement for this class. If you wish to download it, here is the information.

○ You can download R for Windows, Mac, and Linux, from the CRAN archive at https://cran.r-project.org.

○ An in-depth introduction to R is available at http://cran.r-project.org/doc/manuals/R-intro.pdf

○ Hands-on tutorials are available in the Swirl system, which you can learn about at http://swirlstats.com/. In particular, “R Programming: The basics of programming in R” is an appropriate first tutorial for students who have never used R.

● An easier to use interface to R is available in the software package RStudio. This package is available for Windows, Mac, and Linux and can be downloaded for free from http://rstudio.org. Note that RStudio requires R to be installed.

● Microsoft Office 365 ProPlus All Ohio State students are now eligible for free Microsoft Office 365 ProPlus through  Microsoft’s Student Advantage program. Each student can install Office on five PCs or Macs, five tablets (Windows, iPad® and Android™) and five phones.

○ Students are able to access Word, Excel, PowerPoint, Outlook and other programs, depending on platform. Users will also receive 1 TB of OneDrive for Business storage.

○ Office 365 is installed within your BuckeyeMail account. Full instructions for downloading and installation can be found https://ocio.osu.edu/kb04733.

Course delivery

The class is scheduled to meet on MWF from 8:00am – 09:15am. For the Autumn 2021 offering, the course will be taught fully online, and no in-person meetings will take place.

Each week, live lectures will be delivered through CarmenZoom at the scheduled class times (see above). These lectures will be recorded and posted on the class website soon after. Links for the Zoom meetings will be posted well in advance on Carmen.

On occasion, instructional videos may be posted to the class website. Such videos will replace a live Zoom lecture and will contain new course material and worked examples. You will be responsible for watching the videos, studying the new material and working through the examples presented in the videos or assigned as an exercise.

The vast majority of the course can be completed asynchronously, meaning that you will be able to study materials and work on assessments according to your own schedule. Throughout the course, the balance between synchronous (live lectures) and asynchronous (posted videos) may change, based on the specific topic we are covering, or other factors.

Weekly office hours will be held via CarmenZoom, at the times given above (see Instructor section).

Grading and faculty response

Grades

Assignment or category	Percentage
Homework	10
Quizzes	10
Midterm 1	25
Midterm 2	25
Final Exam	30
Total	100

Assignment information

Homework: There will be weekly homework assignments posted on the course website. Homework is due once per week, with dates and times provided as needed.

Quizzes: There will be weekly quizzes. These will be administered online, through Carmen. There will be a sufficiently large time window, but once you begin taking the quiz there will be a time limit for you to complete it.

Exams: There will be two midterm exams and one final exam. All exams will be delivered remotely, via Carmen. The final exam will take place at the time and date established by the University. Information about the exams will be posted well in advance through the course website.

Late assignments

Generally late assignments are not accepted and written documentation is required for missed assignments. If you are unable to complete an assignment on time, please get in touch with me as soon as possible so we can discuss your situation.

Grading scale

93–100: A

90–92.9: A-

87–89.9: B+

83–86.9: B

80–82.9: B-

77–79.9: C+

73–76.9: C

70 –72.9: C-

67 –69.9: D+

60 –66.9: D

Below 60: E

Faculty feedback and response time

I am providing the following list to give you an idea of my intended availability throughout the course. (Remember that you can call 614-688-HELP at any time if you have a technical problem.)

Grading and feedback

For large weekly assignments, you can generally expect feedback within 7 days.

E-mail

I will attempt to reply to e-mails within 24 hours on school days.

Discussion board

I will check and reply to messages in the discussion boards every 24 hours on school days.

Attendance, participation, and discussions

Student participation requirements

Because this is a distance-education course, your attendance is based on your online activity and participation. The following is a summary of everyone's expected participation:

● Logging in: AT LEAST ONCE PER WEEK

Be sure you are logging in to the course in Carmen each week, including weeks with holidays or weeks with minimal online course activity. (During most weeks you will probably log in many times.) If you have a situation that might cause you to miss an entire week of class, discuss it with me as soon as possible.

● Office hours and live sessions: OPTIONAL OR FLEXIBLE

All live, scheduled events for the course, including my office hours, are optional. For live presentations, I will provide a recording that you can watch later. If you are required to discuss an assignment with me, please contact me at the beginning of the week if you need a time outside my scheduled office hours.

● Participating in discussion forums: SEVERAL TIMES PER WEEK

As participation, each week you can expect to post several times as part of our substantive class discussion on the week's topics.

Discussion and communication guidelines

The following are my expectations for how we should communicate as a class. Above all, please remember to be respectful and thoughtful.

● Writing style: While there is no need to participate in class discussions as if you were writing a research paper, you should remember to write using good grammar, spelling, and punctuation. Informality (including an occasional emoticon) is fine for non-academic topics.

● Tone and civility: Let's maintain a supportive learning community where everyone feels safe and where people can disagree amicably. Remember that sarcasm doesn't always come across online.

● Citing your sources: When we have academic discussions, please cite your sources to back up what you say. (For the textbook or other course materials, list at least the title and page numbers. For online sources, include a link.)

● Backing up your work: Consider composing your academic posts in a word processor, where you can save your work, and then copying into the Carmen discussion.