Course Archives Theoretical Statistics and Mathematics Unit | ||||||||
Course: Introduction to Statistics and Computation with Data Instructor: Siva Athreya Room: Second floor auditorium Level: Undergraduate Time: Currently offered |
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Syllabus Past Exams Syllabus: Prerequisites: Probability 1 or 2 should cover statements of Law of Large Numbers, Strong Law of Large Numbers, Binomial Central Limit Theorem and Central Limit Theorem. i) R- Basics: Installing R, Variables, Functions, Workspace, External packages and Data Sets. ii) Introduction to exploratory Data analysis using R: Descriptive statistics; Graphical representation of data: Histogram, Stem-leaf diagram, Box-plot; Visualizing categorical data. iii) Review of Basic Probability: Basic distributions, properties; simulating samples from standard distributions using R commands. iv) Sampling distributions based on normal populations: t, 2 and F distributions. v) Model fitting and model checking: Basics of estimation, method of moments, Basics of testing including goodness of fit tests, interval estimation; Distribution theory for transformations of random vectors; vi) Nonparametric tests: Sign test, Signed rank test,Wilcoxon-Mann-Whitney test. vii) Bivariate data: covariance, correlation and least squares. viii) Resampling methods: Jackknife and Bootstrap. Reference Texts: (a) John Verzani: Using R for Introductory Statistics. (b) James McClave and Terry Sincich: Statistics. (c) Deborah Nolan and Terry Speed: Stat Labs. (d) John A. Rice: Mathematical Statistics and Data Analysis. Evaluation:
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Midterm
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[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute] |