**DESCRIPTION OF COURSES**

**AS 663 ADVANCED THEORY OF SAMPLE SURVEYS (2L+1P) II**

**Objective**

This is an advanced course in the theory of sample surveys that aims at describing some advanced level topics for students who wish to pursue research in Sampling Techniques. This course prepares students for undertaking research in this area. This also helps prepare students for applications of this important subject to agricultural sciences.

**Theory**

UNIT I

Design effect. Number of strata and optimum stratification. Controlled selection. Two way stratification, collapsed strata.

UNIT II

Unbiased ratio and regression type estimators, multivariate ratio and regression methods of estimation. Adaptive sampling, Ranked set sampling. Systematic sampling in two dimensions.

UNIT III

Multistage sampling with unequal probabilities. Self weighting designs. Integration of surveys - Lahiri and Keyfitz’s procedures.

UNIT IV

Variance estimation in complex surveys. Taylor’s series linearisation, balanced repeated replication, Jackknife and bootstrap methods.

UNIT V

Use of software for survey data analysis.

**Practicals**

Estimation of parameters using unbiased ratio and regression type estimators, multivariate ratio and regression methods of estimation, ranked set sampling. systematic sampling in two dimensions. Applications of statistical packages for survey data analysis.

**Suggested Readings**

- Cassel, C.M., Sarndal, C.E. and Wretman, J.H. 1977.
*Foundations of Inference in Survey Sampling*. John Wiley. - Chaudhari, A. and Stenger, H. 2005.
*Survey Sampling Theory and Methods*. Chapman and Hall. - Chaudhari, A. and Voss, J.W.E. 1988.
*Unified Theory and Strategies of Survey Sampling*. Cochran, W.G. 1959.*Sampling Techniques*. John Wiley. - Hedayat, A.S. and Sinha, B.K. 1991.
*Design and Inference in Finite Population Sampling*. John Wiley. - Kish, L. 1965.
*Survey Sampling*. John Wiley. - Mukhopadhyay, P. 1967.
*Theory and Methods of Survey sampling*. Prentice Hall. - Murthy, M.N. 1977.
*Sampling Theory and Methods*. Statistical Publishing Society. - Raj, D. and Chandhok, P. 1998.
*Sample Survey Theory*. Narosa Publications. - Sarndal, C.E., Swensson, B. and Wretman, J. 1992.
*Model Assisted Survey Sampling*. John Wiley. - Sukhatme, P.V., Sukhatme, B.V., Sukhatme, S. and Asok, C. 1984.
*Sampling Theory of Surveys with Applications*. Iowa State University Press and Indian Society of Agricultural Statistics. - Thompson, S.K. 2000.
*Sampling*. John Wiley. - Wolter, K. 2003.
*Introduction to Variance Estimation*. Springer.