Sampling Techniques

Paper Code: 
24STT223
Credits: 
6
Contact Hours: 
90.00
Max. Marks: 
100.00
Objective: 

The students would be exposed to elementary, systematic, stratified and two stage sampling techniques. It would help them in understanding the concepts involved in planning and designing their surveys, presentation of survey data analysis of survey data and presentation of results.

 

Course Outcomes: 

Course

Course Outcomes

Learning and teaching strategies

Assessment Strategies

Course Code

Course Title

24STT223

Sampling Techniques

(Theory)

CO 47: Analyze simple random sampling methods, inverse sampling and estimate population parameters.

CO 48: Evaluate the application of stratified sampling, systematic sampling, cluster sampling techniques and analyze two-stage sampling with unequal second-stage units.

CO 49: Utilize auxiliary information for estimation using ratio, regression, and product methods, and implement Hartley & Ross and Quenoullie's techniques on sample.

CO 50: Determine the sample size using double sampling and Proportion to Size with and without replacement method.

CO 51: Evaluate non-sampling errors and utilize Hanson and Horvitz, Politz & Simmon Warness methods to mitigate their impact on estimation accuracy.

CO 52: Contribute effectively in course-specific interaction

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.

 

18.00
Unit I: 
Simple Random Sampling

Simple random sampling with and without replacement: Definition, properties, estimation of population mean, its variance and estimates of variance, optimum properties of sample mean, estimation of sample size, estimation of properties, Inverse sampling.

 

18.00
Unit II: 
Various sampling techniques

Stratified Sampling: estimation of population, mean under proportional, optimum and Neyman allocation, comparison and estimation of gain in precision, Post stratification. Systematic sampling: estimation of mean, its variance and estimation of variance. Comparison with stratified sampling. Cluster sampling and two stage sampling with unequal number of second stage unit. 

 

18.00
Unit III: 
Auxiliary Information in Sampling

Use of Auxiliary Information: Ratio, difference, regression and product methods of estimation and properties. Unbiased ratio type estimates: Hartley& Ross, Quenoullie’s Techniques.

 

18.00
Unit IV: 
Double Sampling and PPS

Double sampling and its uses in ratio estimation, Stratified sampling. Population proportion to size with replacement and without replacement (PPSWR or PPSWOR) sampling, cumulative total and Lahiri’s method. Ratio estimator under varying probabilities, Midzuno scheme of sampling.

 

18.00
Unit V: 
Non-Sampling Errors and Non-Response Error Techniques

Non Sampling errors: observational error, mathematical model, the sample mean, its variance and estimation of the variance. Non-Response error: Hanson and Horvitz, Politz & Simmon Warness technique.

 

Essential Readings: 
  • Cocharan,W.G.(1997): Sampling Techniques III ed, John Wiley Pub. New York.
  • Murthy, MN. (1977) Sampling Theory and Methods, 2nd Ed. Statistical Publ. Soc., Calcutta.
  • Singh D., Singh, P. & Kumar P. (1982): Handbook on Sampling Methods, IASRI Publ.
  • Sukhatme, P.V., Sukhatme, B.V., Sukhatme, S. & Asok, C. (1984): Sampling Theory of Surveys with Applications, Iowa State University Press and Indian Society of Agricultural Statistics, New Delhi.
  • Chaudhuri, A. and Mukerjee, R. (1988): Randomized Responses. Theory and Techniques, New York: Marcel Dekker Inc.
  • Des Raj and Chandok (1999): Sampling Theory, Norsa Pub. New Delhi.

 

SUGGESTED READINGS:

  • Sampath, S. (2000): Sampling theory and Methods, Narosa Publishing House.
  • Singh,D.and Chaudhary ,F.S.(1986):Theory and Analysis of Sample Survey Designs, New Age International Publishers.
  • Mukhopadhya, P. (1996): Inferencial Problems in Survey Sampling, New Age International.
  • Singh, R. and Mangat, M.S. (1996): Elements of Sample Survey, Springer
  • Singh, Sarjinder (2003): Advanced Sampling Theory with Applications: How Michael 'selected' Amy, Volume 2, Kluwer Academic Publishers

 

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

 

Academic Year: 
2024-2025
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