STATISTICS-III
1. Sampling
Techniques:
Census versus sample survey. Pilot and large scale sample surveys. Role
of NSS organisation. Simple random sampling with and without replacement.
Stratified sampling and sample allocations. Cos and Variance functions. Ratio
and Regression methods of estimation. Sampling with probability proportional to
size. Cluster, double, multiphase, multistage and systematic sampling. Interpenetrating
sub-sampling. Non-sampling errors.
2. Design and
Analysis of Experiments
Principles of design of experiments. Layout and analysis of completely
randomised, randomised block and Latin square designs. Factorial experiments
and confounding in 2n and 3n experiments. Split-plot and strip-plot designs.
Construction and analysis of balanced and partially balanced incomplete block
designs. Analysis of covariance. Analysis of non-orthogonal data. analysis of missing
and mixed plot data.
3. Economic Statistics
Components of time series. Methods of their determination-variate
difference method. Yule- Slutsky effect. Correlogram. Autoregressive models of
first and second order. Periodogram analysis. Index numbers of prices and
quantities and their relative merits. Construction of index numbers of
wholesale and consumer prices. Income distribution-Pareto and Engel curves. Concentration
curve. Methods of estimating national income. Inter-sectoral flows.
Inter-industry table. Role of CSO.
4. Econometrics
Theory and analysis of consumer demand-specification and estimation of
demand functions. Demand elasticities. Structure and model. Estimation of
parameters in single equation modelclassical least squares, generalised
least-square, heteroscedasticity, serial correlation, multicollinearity, errors
in variable model. Simultaneous equation models-Identification, rank and other
conditions. Indirect least squares and two stage least squares. Short-term
economic forecasting.
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