Sample Surveys and Design of Experiments

Paper Code: 
CSTT 401
Credits: 
4
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

This paper is designed to develop skills and knowledge for collecting and analyzing data using sample surveys, designing experiments, and understanding the role of official statistics in society and how they are used by policymakers, researchers, and the public.

 

Course

Learning outcomes (at course level

Learning and teaching strategies

Assessment Strategies

Paper Code

Paper Title

CSTT 401

Sample Surveys and Design of Experiments

 

CO 31: Understand the basic concepts and principles of survey sampling, including population, sampling frame, sampling units, and sampling techniques.

 

CO 32: Select the appropriate sampling techniques such as stratified and systematic sampling for conducting the real-life sample surveys and for a given research problem.

 

CO 33: Students will be able to conduct and interpret variance analysis for one-way and two-way classified data.

 

CO 34: Students will be able to design, analyze, and evaluate experiments using various design principles and techniques.

 

CO 35: students will be able to critically evaluate the Indian Official Statistical System and its agencies, functions and publications.

Approach in teaching:

 

Interactive Lectures,

Group Discussion,

Classroom Assignment

Problem Solving Sessions

 

 

 

Learning activities for the students:

 

Assignments

Seminar

Presentation

Subject based Activities

 

Classroom Quiz

Assignments

Class Test

Individual Presentation

 

 

12.00
Unit I: 

Sample Surveys: Basic concepts of sample survey: concept of sampling, need for sampling, complete enumeration v/s sampling, principles of sampling theory, principal steps in a sample surveys, sampling and non-sampling errors.

Simple random sampling (srswr and srswor): definition and procedures of selecting a sample, properties of simple random sample, estimation of mean and sampling variance of sample mean, comparison of srswr and srswor.

12.00
Unit II: 

Stratified random sampling: introduction, estimation of population mean and its variance, types of allocation: equal, proportional and optimum, comparison of stratified sampling under proportional and neyman allocation with SRSWOR.

Systematic sampling: introduction to linear systematic sampling, estimation of sample mean and its variance (N=nk), comparison of systematic sampling with srswor.

12.00
Unit III: 

Anova: Definition, Assumptions, Effects of violation of assumptions. Linear model: Fixed, random and mixed effect model. One-way and two-way classified data with one observation per cell only, Variance of the estimates for both one-way and two-way classified data and critical difference.

12.00
Unit IV: 

Design of experiments: Meaning of experiment, experimental unit, treatment, field, block, experimental error, precision, uniformity trials. Fundamental principles of design of experiments- replication, randomization and local control. Completely randomized, Randomized block design. efficiency of RBD over CRD.

12.00
Unit V: 

Indian Official Statistics: Present Official Statistical System in India relating to census of population. Methods of collection of official statistics, major publications. MOSPI : CSO, NSSO (divisions, their role and functions).

Essential Readings: 
  • Goon, A.M. Gupta, M.K. and Dasgupta, B. (2008): Fundamentals of Statistics, Vol II, The World Press Pvt Ltd , Calcutta, VIIth Edition,
  • Gupta ,S.C. & .Kapoor, V.K. (2000): Fundamentals of Applied Statistics, Sultan Chand & Sons, New Delhi, tenth edition.
References: 

SUGGESTED READINGS:

  • Joshi, D.D. (2003): Linear Estimation and Design of Experiments, New Age   International Publisher.
  • Montgomery D.C.(1952): Design and Analysis of Experiments, Sixth Edition, Wiley  Eastern Ltd. Limited
  • Cochran, W.G. and Cox, G.M.(1997): Experimental Design, Asia Publishing House, third edition.
  • Cochran, William G. (1984): Sampling Techniques, Wiley Eastern Limited, Third Edition.
  • Singh, Daroga and Chaudhary, F.S.(2002) : Theory and Analysis of Sample Survey Designs, New Age International Publisher.
  • Murthy, M.N.(1967): Sampling Theory and Methods.
  • Sukhatme, et al.(1984): Sampling Theory of Surveys with Applications, Piyush Publications, IInd Edition.
  • Mukhopadhyay, P. (2007): Survey Sampling, Narosa Publishing House.

 

e-RESOURCES:

 JOURNALS:

  • Sankhya The Indian Journal of Statistics, Indian Statistical Institute
  • Aligarh Journal of Statistics, Department of Statistics and Operations Research, Aligarh Muslim University
  • Afrika Statistika, Saint-Louis Senega University
  • International Journal of Statistics and Reliability Engineering, Indian Association for Reliability and Statistic
  • Journal of the Indian Society for Probability and Statistics, Indian Society for Probability and Statistics
  • Journal of the Indian Statistical Association, Indian Statistical Association
  • Statistica, Department of Statistical Sciences Paolo Fortunato, University of Bologna
  • Statistics and Applications, Society of Statistics, Computer and Applications
  • Stochastic Modeling and Applications, MUK Publications and Distributions.
Academic Year: 
2023-2024
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