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Math 183 - Statistical Methods Xu Wang March 28, 2016 Xu Wang Math 183 - Statistical Methods March 28, 2016 1/9 1 Basic information 2 Course content Xu Wang Math 183 - Statistical Methods March 28, 2016 2/9 Basic information Basic information Xu Wang Math 183 - Statistical Methods March 28, 2016 3/9 Basic information Textbook, Course website and Contacts Textbook: Introduction to Probability and statistics for engineers and scientists (Fifth Edition) by Sheldon M. Ross Prerequisite: Math 20C or 21C (Multi-variate Calculus) Course website: http://www.math.ucsd.edu/~xuw014/Teaching/Courses.shtml Office hours and email: Instructor (Dr. Wang): Wednesday 2-3pm, APM5240; Email: [email protected] TAs’ office hours will be announced in discussion session (and on course website later) TAs’ emails: A01-02: Li, hanbo ([email protected]); A03: Zhu, tingyi ([email protected]); A04: Liang, jingwen ([email protected]); A07-08: Pan, ran ([email protected]) Xu Wang Math 183 - Statistical Methods March 28, 2016 4/9 Basic information Course mechanism Your grade will be the better grade from the following two methods: 30% Homework, 30% Midterm, 40% Final 40% Homework, 20% Midterm, 60% Final Weekly homework assignments (5th Edition) and due dates, exam informations to be announced on course website Regrade requests will not be considered once you take the homework or exam out of the room after returned in the discussion sections. Xu Wang Math 183 - Statistical Methods March 28, 2016 5/9 Course content Course content Xu Wang Math 183 - Statistical Methods March 28, 2016 6/9 Course content Materials most parts from Chapter 1-8 (see course webpage update as we progress) selected topics from Chapter 9-15 (if time permits, not to be tested on exams) Goal: Introduction to probability. Discrete and continuous random variables-binomial, Poisson and Gaussian distributions. Central limit theorem. Data analysis and inferential statistics: prediction, estimation, hypothesis testing, curve fitting. basic familiarity with R programming language Xu Wang Math 183 - Statistical Methods March 28, 2016 7/9 Course content R programming Open source statistical programming language and environment R will be used from time to time during the course, including in homework assignments where the codes will be provided (by TA’s) in discussion session. It is available in the UCSD computing labs and “virtual lab”, http://acms.ucsd.edu/students/govirtual/index.html (you’ll need to register first). bring computer to discussion session. (TA will help on installing and introducing R basics) Xu Wang Math 183 - Statistical Methods March 28, 2016 8/9 Course content Overview Descriptive statistics (Graphs, tables in Chap. 2) Inferential statistics Assume data constitute “random sample” from “some population” (a model) What is a probabilistic model? (Probability, Chapter 3-5) Calibrate a model (Estimation, Chapter 7) How good the data fits a model (Testing, Chapter 8) Relating properties of data to those of the population (Distribution of sampling statistics, Chapter 6) Many others . . . Xu Wang Math 183 - Statistical Methods March 28, 2016 9/9