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 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. Non-sampling errors.
B.Sc II Year – Paper II
Unit–I: Sampling Method: Concept of population, sample, parameter and statistic,
sampling versus census, advantages of sampling methods, role of sampling theory,
sampling and non-sampling errors, bias and its effects, probability sampling.
Unit–II: 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 estimates. Estimates of variance.
Sample size determination.
Unit–III: Stratified random sampling. Problem of allocation, proportional allocation,
optimum allocation. Derivation of the expression for the standard errors of the usual
estimators when these allocation are used. Gain in precision due to stratification.
Unit–IV: Systematic sampling: estimation of population mean and population total,
standard errors of these estimators. Cluster sampling with equal clusters. Estimation of
population mean and their mean square error.