STATISTICS
PAPER – II
1. Industrial
Statistics:
Process and product
control, general theory of control charts, different types of control charts
for variables and attributes, X, R, s, p, np and c charts, cumulative sum
chart. Single, double, multiple and sequential sampling plans for attributes,
OC, ASN, AOQ and ATI curves, concepts of producer’s and consumer’s risks, AQL, LTPD
and AOQL, Sampling plans for variables, Use of Dodge-Roming tables.
Concept of reliability,
failure rate and reliability functions, reliability of series and parallel
systems and other simple configurations, renewal density and renewal function,
Failure models: exponential, Weibull, normal, lognormal.
Problems in life
testing, censored and truncated experiments for exponential models.
2. Optimization
Techniques:
Different types of
models in Operations Research, their construction and general methods of
solution, simulation and Monte-Carlo methods formulation of linear programming
(LP) problem, simple LP model and its graphical solution, the simplex
procedure, the two-phase method and the M-technique with artificial variables,
the duality theory of LP and its economic interpretation, sensitivity analysis,
transportation and assignment problems, rectangular games, twoperson zero-sum
games, methods of solution (graphical and algebraic).
Replacement of failing
or deteriorating items, group and individual replacement policies, concept of
scientific inventory management and analytical structure of inventory problems,
simple models with deterministic and stochastic demand with and without lead
time, storage models with particular reference to dam type.
Homogeneous discrete-time
Markov chains, transition probability matrix, classification of states and
ergodic theorems, homogeneous continuous-time Markov chains, Poisson process,
elements of queuing theory, M/M/1, M/M/K, G/M/1 and M/G/1 queues.
Solution of statistical
problems on computers using well-known statistical software packages like SPSS.
3. Quantitative
Economics and Official Statistics:
Determination of trend,
seasonal and cyclical components, Box-Jenkins method, tests for stationary
series, ARIMA models and determination of orders of autoregressive and moving
average components, forecasting.
Commonly used index
numbersLaspeyre’s, Paasche’s and Fisher’s ideal index numbers, chain-base index
number, uses and limitations of index numbers, index number of wholesale prices,
consumer prices, agricultural production and industrial production, test for
index numbers proportionality, time-reversal, factorreversal and circular .
General linear model,
ordinary least square and generalized least squares methods of estimation,
problem of multi-collinearity, consequences and solutions of
mult-icollinearity, auto-correlation and its consequences, heteroscedasticity
of disturbances and its testing, test for independence of disturbances, concept
of structure and model for simultaneous equations, problem of
identification-rank and order conditions of identifiability, two-stage least
square method of estimation.
Present official
statistical system in India relating to population, agriculture, industrial
production, trade and prices, methods of collection of official statistics,
their reliability and limitations, principal publications containing such
statistics, various official agencies responsible for data collection and their
main functions.
4. Demography and
Psychometry:
Demographic data from
census, registration, NSS other surveys, their limitations and uses,
definition, construction and uses of vital rates and ratios, measures of
fertility, reproduction rates, morbidity rate, standardized death rate,
complete and abridged life tables, construction of life tables from vital
statistics and census returns, uses of life tables, logistic and other
population growth curves, fitting a logistic curve, population
projection, stable
population, quasi-stable population, techniques in estimation of demographic
parameters, standard classification by cause of death, health surveys and use
of hospital statistics.
Methods of
standardisation of scales and tests, Z-scores, standard scores, T-scores,
percentile scores, intelligence quotient and its measurement and uses, validity
and reliability of test scores and its determination, use of factor analysis
and path analysis in psychometry.
No comments:
Post a Comment