Advance Sampling and Design of Experiments

Paper Code: 
DSTT 701(C)
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.

 

Students will be able to:

Course

Learning outcomes (at course level

Learning and teaching strategies

Assessment Strategies

Paper Code

Paper Title

DSTT 701(C)

Advance Sampling and Design of Experiments

 

CO 92: Students will learn Cluster Sampling and Two-Stage Sampling, and how to use Ratio, Difference, Regression and Product methods for efficient estimation of population parameters with the help of Auxiliary Information

 

CO 93: Students will learn Double Sampling for ratio estimation, PPSWR/PPSWOR sampling, and efficient estimation methods like Cumulative Total and Lahiri's method for population parameter estimation

 

CO 94: Students will learn how to minimize non-sampling errors and estimate the variance of the sample mean in survey research, as well as techniques for addressing non-response error, such as Hanson and Horvitz, Politz and Simmon, and Warness

 

CO 95: Students will be able to design and analyze factorial experiments using Latin Square Design, 22   23 and 2n factorial designs, and understand confounding effects and their impact on experimental outcomes, and construct confounded factorial experiments using 2 to the power n.

 

CO 96: Students will be able to apply experimental design and analysis techniques, including the Analysis of Missing Plot Technique, Analysis of Covariance, and Balanced Incomplete Block Design for intra-block analysis, to make sound decisions based on statistical data.

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: 

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 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 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: 

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: 

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.
References: 

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: 
2023-2024
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