Shalabh
shalab@iitk.ac.in
shalabh1@yahoo.com
Department of Mathematics & Statistics
Indian Institute of Technology Kanpur, Kanpur - 208016 (India)

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MTH 432M/432A : Introduction to Sampling Theory

Syllabus : Principles of sample surveys; Simple, stratified and unequal probability sampling with and without replacement; ratio, product and regression method of estimation, Varying Probability Scheme

Books: You can choose any one of the following book for your reference. Books at serial numbers 1 and 2 are easily available, so I will base my lectures on them. Other books are available in the library.

1.      Sampling Techniques : W.G. Cochran, Wiley (Low price edition available)

2.      Theory and Methods of Survey Sampling : Parimal Mukhopadhyay, Prentice Hall of India

3.      Theory of Sample surveys with applications : P.V. Sukhatme, B.V Sukhatme, S. Sukhatme and C. Asok, IASRI, Delhi

4.      Sampling Methodologies and Applications : P.S.R.S. Rao, Chapman and Hall/ CRC

5.      Sampling Theory and Methods : M.N. Murthy, Statistical Publishing Society, Calcutta (Out of print)

6.      Elements of sampling theory and methods : Z. Govindrajalu, Prentice Hall

7.   Sampling Methods- Exercises and Solutions : Pascal Ardilly and Yves Tille' (Download here through IITK Library link)

 

Course Policy: Earn your marks and grades. I will be the happiest instructor to award the best grades to all the students.

Grading Scheme: Quiz- 40%,   Mid Sem.- 60%

Class Schedule: Class begins: 31 July 2023. Time table: Mon, Wed, Thu, Fri 8:00 Hrs - 8:50 Hrs. 

Mid Semester Examination:  

Contact hours: 24 X 7, by email, phone, what's app. (If possible and not so urgent, avoid calling between 12-7 AM.)

Announcements:

Assignments: The solutions of all the assignments are to be submitted and they will be graded.

Assignment 1

Assignment 2

Assignment 3

Assignment 4

Assignment 5

Assignment 6

A link will be sent through email to all the students to upload their assignments.

 

Lecture notes for your help (If you find any typo, please let me know)

For the course MTH432 A, Lecture Notes 2, 3, 4, 5, 6 and 7  are required.

Other chapters are detailed for knowledge enhancement.

Lecture Notes 1 : Introduction

Lecture Notes 2 : Simple Random Sampling

Lecture Notes 3 : Sampling For Proportions and Percentages

Lecture Notes 4 : Stratified Sampling

Lecture Notes 5 : Ratio and Product Methods of Estimation

Lecture Notes 6  : Regression Method of Estimation

Lecture Notes 7  : Varying Probability Sampling

Lecture Notes 8  : Double Sampling (Two Phase Sampling)

Lecture Notes 9  : Cluster Sampling

Lecture Notes 10  : Two Stage Sampling (Subsampling)

Lecture Notes 11  :  Systematic Sampling

Lecture Notes 12  : Sampling on Successive Occasions

Lecture Notes 13  : Non Sampling Errors

 

Lecture Videos:

The students are advised to access the video lectures via the MooKIT platform as the lectures may have pop up quiz. Missing the pop up quiz will be considered as absent or zero marks.

Introductory Video (at Youtube)

 

Slides and videos used in the lectures

(Lectures 1,2,3 are for those who have not studied Sampling Theory in UG Classes.

Lecture 20 and 23 were not possible to cover in the usual classroom teaching, so it is not a part of the syllabus in online mode but it is given for completeness)

The video lectures are also available at Swayam Prabha DTH Channel 16 Youtube link: The telecasted lectures are available at  YouTube (Click here).