I. 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, V-mask, 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-Romig and Military Standard tables.
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A D V E R T I S E M E N T
Concepts of reliability, maintainability
and availability, reliability of series and parallel systems and other simple
configurations, renewal density and renewal function, survival models
(exponential), Weibull, lognormal, Rayleigh, and bath-tub), different types of
redundancy and use of redundancy in reliability improvement, problems in
life-testing, censored and truncated experiments for exponential models.
II. Optimization Techniques
Different, types of models in Operational
Research, their construction and general methods of solution, simulation and
Monte-Carlo methods, the structure and 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, two-person zero-sum
games, methods of solution (graphical and algerbraic).
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 continous-time Markov chains, Poisson process, elements of queueing
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.
III. Quantitative Economics and
Determination of trend, seasonal and
cyclical components, Box-Jenkins method, tests for stationery of series, ARIMA
models and determination of orders of autoregressive and moving average
Commonly used index numbers-Laspeyre's,
Paashe's and Fisher's ideal index numbers, chain-base index number uses and
limitations of index numbers, index number of wholesale prices, consumer price
index number, index numbers of agricultural and industrial production, tests,
for mdex numbers lve proportonality test, time-reversal test, factor-reversal
test, circular test and dimensional invariance test.
General linear model, ordinary least
squares and generalised least squires methods of estimation, problem of
multicollineaity, consequences and solutions of multicollinearity,
autocorrelation and its consequeces, heteroscedasticity of disturbances and its
testing, test for independe of disturbances, Zellner's seemingly unrelated
regression equation model and its estimation, concept of structure and model for
simulaneous equations, problem of identification-rank and order conditions of
identifiability, two-stage least squares 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
limitation and the principal publications containing such statistics, various
official agencies responsible for data collection and their main functions.
IV. Demography and Psychometry
Demographic data from census,
registration, NSS and other surveys, and their limitation 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
theory, uses of stable population and quasi-stable population techniques in
estimation of demographic parameters, morbidity and its measurement, 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 of test scores and its
determination, use of factor analysis and path analysis in psychometry.