Examination Date :03/05/2012 Thursday 11.00 AM to 12.15 PM
(Maximum Marks : 100)
(Duration: 1.15 Hours)
( Medium of Questions: English )
1. Collection, Classification and Diagrammatic representation of data:
Measures of central tendency and measures of deviation, Correlation and
Regression, Partial and Multiple correlation.
2. Basic probability theory: Definitions, Addition theorem, Multiplication
theorem, Conditional probability and Baye’s theorem. Theorem of total
probability – Random variables-expectation, moments, generating
functions-sequences of random variables and independence of random
variables. Law of large numbers, Central limit theorem and its
3. Distribution theory (i) Discrete distributons – Binomial, Poisson, Negative
– binomial, Geometric, Hyper-geometric and Multinomial distributions.
(ii) Continuous distributions-Uniform, Exponential, Gamma, Beta,
Normal, Log-normal, Logistic, Weibull, Pareto and bivariate normal,
(iii) Sampling distributions: Student’s t, F and Chi-square distributions.
4. (i) Estimation: Basic properties of estimators, concepts of sufficiency,
UMVUE and completeness, Methods of estimation.
(ii) Tests of Hypotheses – Two types of errors , significance level, size and
power of a test, Tests based on normal, t, Chi-square and F distributions.
5. Sampling theory: Various methods of sampling – Simple random sampling,
PPS Sampling, Stratified random sampling, systematic sampling, cluster
sampling, adaptive sampling, Ratio and Regression methods of estimation.
6. Design of Experiments: Basic properties of experimentation, ANOVA,
CRD, RBD, LSD, Factorial designs, BIBD, Split-plot designs.
7. (i) Vital statistics: Rates and ratios of vital events, Mortality and fertility,
Measurement of mortality and fertility, Central mortality rate.
(ii) Time series analysis: Economic time series and its different
components, Additive and multiplicative models, Determination of trend,
Construction of seasonal indices.
8. (i) Economic statistics; Index numbers, its definitions, applications, price
relatives, link and chain relatives. Use of averages: Simple aggregative and
weighted average methods, Laspeyer’s, Paasche’s and Fisher index
numbers, Time and factor reversal test of index numbers.
(ii) Official statistics: Introduction to Indian Statistical systems, CSO,
NSSO, Census, Population data according to 2011 Census.
NOTE: - It may be noted that apart from the topics detailed above,
questions from other topics prescribed for the educational qualification
of the post may also appear in the question paper. There is no undertaking
that all the topics above may be covered in the question paper.