University of Madras - BSc Syllabus - Semester VI - Major IX

UNIVERSITY OF MADRAS
B.Sc. DEGREE COURSE IN STATISTICS
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)

SYLLABUS

Semester VI - Major IX - Sampling Techniques

UNIT - 1:

Design - Organization and execution of sample surveys - principal steps in sample survey - Pilot survey - principles of sample survey - sampling and non-sampling errors - advantages of sampling over complete census - limitations of sampling.

UNIT - 2:

Sampling from finite population - simple random sampling with and Without replacement - unbiased estimate of the mean variance of the estimate of the mean finite population correction estimation of standard error from a sample - determination of sample size.

UNIT - 3:

Stratified random sampling - properties of the estimates - unbiased estimates of the mean and variance of the estimates of the mean-optimum and proportional allocations - relative precision of a stratified sampling and simple random sampling - estimation of gain in precision in stratified sampling.

UNIT - 4:

Systematic sampling - estimate of mean and variance of the estimated mean - comparison of simple and stratified with systematic random sampling.

UNIT - 5:

Ratio estimators: Ratio estimates, variance of the ratio estimates - Bias of the ratio estimates. Regression estimators: Linear regression estimate regression estimates vith pre assigned b-regression estimates when b is computed from the sample. PPS sampling - randomized response method - concept only - cumulative method and Lahiri method.

Books for Study:

William, G. Cochran (1984): Sampling techniques, Wiley Eastern.

BOOKS FOR REFERENCE:

Des Raj (1976): Sampling theory, Tata McGraw Hill,
Daroga Singh & Chaudhary, F.S. (1986): Theory and Analysis of Sample Survey Designs. Wiley Eastern.
Sukhatme P.V. et al (1984): Sample survey methods and its applications, Indian Society of Agricultural Statistics, New Delhi.
Murthy, M.N. (1967): Sampling theory and methods, Statistical Publishing Society, Calcutta.
Sampath S. (1999): Sampling theory and methods. New Age International Ltd.