DEPARTMENT OF MATHEMATICS
MTL 108 (Introduction to Statistics) 4 Credits (3-1-0)
II Semester 2016-17
Lecture Classes (Slot D): Tuesday, Wednesday and Friday between 9:00 AM and 9:50 AM in LH 510.
Tutorial Classes: LH 519 on Monday (Vidhem), Tuesday (Raghav), Thursday (Puneet) and Friday (Abhinav) between 2:00 PM and 2:50 PM.
Overlap:
MTL 390 (Statistical Methods)
For the students who registered II Semester 2016-17, Re Major (for both I grade and E Grade) is scheduled on July 28th, 2017 (Friday) between 12 noon and 2 PM. Venue will be MZ 195, Committee Room, Department of Mathematics.
INFORMATION SHEET
Measures of central tendency, Dispersion, Skewness, Kurtosis, Data Representation using Histogram, Pie Chart, Boxplot, Biplot, Multi Dimensional Scaling etc. Concept of Random Variable, Some common discrete and continuous distributions, Distribution of Functions of Random Variables, Bivariate and Multivariate random variables. Sampling Distribution, Theory of Estimation, Properties of an estimator, Cramer Rao Theorem, Rao Blackwellization, One-sample and Two sample tests of Proportion, mean, variance, Critical regions, Neyman Pearson Lemma. Tests for Goodness of fit, Chi-square Test, Kolmogorov Smirnov Test, One sample and paired sample tests: Sign Test, Signed-rank Test, Run tests etc. Linear regression, Non-linear regression, Logit and Probit Methods.
(No. of Lectures - 42)
Main Text Books
1.
Anthony J Hayter;
Probability and Statistics for Engineers, Cengage learning, 4th Edition, 2012.
2.
Freund, Wilson and Mohr: Statistical Methods, Academic Press, 3rd Edition, 2010.
3.
Hogg and Tanis: Probability and Statistical Inference, Pearson, 9th Edition, 2014.
4.
Vijay K. Rohatgi and A.K. Md. Ehsanes Saleh, Dasgupta, An Introduction to
Probability and Statistics, John Wiley, edition, 3rd edition, 2015.
Reference Books
1.
Introductory Probability and Statistical Applications, Paul L. Meyer, Addison-Wesley, 1966.
2.
Sheldon Ross, Introduction to Probability and Statistics for Engineers and Scientists, 5th Edition, Academic Press, 2014.
Note: It seems, some students found that the answers provided for few problems in the following tutorial sheets are not correct. Please let me know these errors by email.
Scheme of Evaluation Two Minor Tests of 25 Marks each 2 X 25 50 One Major Examination 1 X 50 50 Total 100 IMPORTANT INFORMATION ·
Students are encouraged to contact the Course
Coordinator or Tutorial Teachers
for any difficulties regarding the course. ·
Only those students who could not appear for
one of the minor tests due to medical
reasons are eligible for the make up
examination which will be conducted
before the major examination. However, submission of a valid medical certificate adhering to the
institute norms is mandatory. ·
The evaluated minor answer
books will be returned to the students and they must retain with them as a proof of the marks secured.
INFORMATION about the Instructors Name Room No. Phone No. Email S Dharmaraja MZ 161 7104 dharmar@maths.iitd.ac.in INFORMATION about the Tutorial Teachers Name Room No. Phone No. Email Puneet Pasricha
---- --------- maz148097@maths.iitd.ac.in Students can join the discussion forum in
https://www.facebook.com/MTL108IntroductiontoStatistics/
See Course Website: http://web.iitd.ac.in/~dharmar/MTL108/main.html
for updates. (S Dharmaraja) COURSE COORDINATOR
Tutorial Sheets
Tutorial Sheet 1 Answer