Advance Sampling and Design of Experiments

Paper Code: 
24DSTT703
Credits: 
4
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

The objective of advanced sampling is to develop efficient methods for selecting samples from a population, while the objective of design of experiments is to plan and conduct experiments to extract the maximum amount of information with the minimum amount of resources.

Course

Course Outcomes

Learning and teaching strategies

Assessment Strategies

Course Code

Course Title

24DSTT703

Advance Sampling and Design of Experiments

(Theory)

CO 101: Apply cluster sampling and two-stage sampling techniques, incorporating auxiliary information to estimate population parameters with improved precision and efficiency. 

CO 102: Examine double sampling for ratio estimation and implement Population Proportion to Size with and without replacement to achieve accurate population estimates.

CO 103: Evaluate non-sampling errors and employ techniques to mitigate their impact on estimation accuracy.

CO 104: Implement Latin Square Design and factorial experiments, distinguish between total and partial confounding, and construct confounded factorial experiments to analyze multiple factors' effects on outcomes.

CO 105: Analyze missing plot techniques, conduct analysis of covariance, and apply balanced incomplete block design for intra-block analysis to enhance the precision and interpretability of experimental results in various research settings.

CO 106: 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

 

 

12.00
Unit I: 
Sampling Methods & Estimation Properties

Cluster sampling and two stage sampling with equal and unequal number of second stage units, Use of Auxiliary Information: Ratio, difference, regression and product methods of estimation and properties. 

 

12.00
Unit II: 
Double Sampling and Varying Probability

Double sampling and its uses in ratio estimation. Population proportion to size with replacement and without replacement (PPSWR or PPSWOR) sampling, cumulative total and Lahiri’s method. 

 

 

12.00
Unit III: 
Non Sampling and Non Response Errors

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.

 

12.00
Unit IV: 
Confounded Factorial Designs

Latin Square Design. Factorial Experiment: 22   23 and 2n. Confounding: Total and partial confounding. Construction of confounded factorial experiments belonging to 2n.

 

 

12.00
Unit V: 
Advanced Experimental Design

Analysis of missing plot technique. Analysis of covariance. Balanced incomplete block design (intra - block analysis).

 

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

 

Academic Year: 
2024-2025
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