Sample Surveys and Design of Experiments

Paper Code: 
24CSTT401
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

Course Outcomes

Learning and teaching strategies

Assessment Strategies

Course Code

Course Title

24CSTT401

Sample Surveys and Design of Experiments

(Theory)

CO 34: Analyze the efficiency and effectiveness of simple random sampling (SRSWR and SRSWOR) in representing the population.

CO 35: Estimate the impact of different allocation methods in stratified random sampling.

CO 36: Design ANOVA models and evaluate the effects of violating assumptions on validity and interpretability of experimental results.

CO 37: Analyze the principles of experimental design and assess their roles in reducing bias and increasing the precision of experimental estimates.

CO 38: Outline the importance of the structure and functions of key agencies involved in the collection and dissemination of official statistics in India.

CO 39: 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: 
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 survey, 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 and Systematic Random Sampling

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, 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 

 

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.

 

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: 
2024-2025
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