Survey Sampling

Paper II : Survey Sampling

UNIT – I

Sampling vs. complete enumeration : sampling units and frame. Precision and efficiency of

estimators. Simple Random sampling with and without replacement. Use of random number
tables in selection of simple random sample. Estimation of population mean and proportion.
Derivation of expression for variance of these estimators. Estimation of variances. Sample
size determination.

UNIT-II

Stratified random sampling. Problem of allocation, proportional allocation, optimum
allocation. Derivation of the expressions for the standard errors of the usual estimators when
these allocations are used. Gain in precision due to stratification. Role of sampling cost in the
sample allocation. Minimization of variance for fixed cost. Systematic sampling : estimation
of population mean and population total, standard errors of these estimators.

UNIT-III

Regression and ratio methods of estimation in simple random sampling. Cluster sampling
with equal and unequal clusters. Estimators of population mean and their mean square error.

UNIT-IV

Double sampling in ratio method of estimation. Two-stage sampling with equal first stage
units : estimator of population mean and its variance, Multi-stage sampling with examples
(definition only).Non-sampling errors.