Statistical Investigator Grade IV Examination 2008 Syllabus
PaperI (Objective Type)
General Intelligence :
The Syllabus for General Intelligence would include questions of both
verbal type. The test may include questions on analogies, similarities,
differences, space visualization, problem solving, analysis, judgement,
decision making, visual memory, discrimination, observation,
relationship concepts, arithmetical reasoning, verbal and figure
classification, arithmetical number series etc. The test will also
include questions designed to test the candidate’s abilities to deal
with abstract ideas and symbols and their relationships, arithmetical
computations and other analytical functions. General Awareness:
Questions in General Awareness component will be aimed at testing the
candidate’s General Awareness of the environment around him and its
application to society. Questions will also be designed to test
knowledge of current events and of such matters of everyday observation
and experience in their scientific aspect as may be expected of an
educated person.
The test will also include questions pertaining to History, Culture,
Geography, Economic Scene, General Polity, Indian Constitution, Sports,
Literature, Scientific Research, Basics / fundamentals of Computer,
etc. These questions will be such that they do not require a special
study of any discipline. English Language & Comprehension :
Questions in this component will be designed to test the candidate’s
understanding and knowledge of English Language and will be based on
error recognition, fill in the blanks (using verbs, preposition,
articles etc), Vocabulary, Spellings, Grammar, Sentence Structure,
Synonyms, Antonyms, Sentence Completion, Phrases and Idiomatic use of
Words, etc. There will be a question on passages and comprehension of
passages also. The standard of the questions will be only of 10+2 level
PaperII: (Conventional Type)
Statistics
Probability, Probability Distributions, Binomial, Poisson, Normal, Exponential. Compilation, Classification, Tabulation of Statistical Data, Graphical presentation of data. Measures
of central tendency, measures of dispersion, measures of association
and ontingency, scatter diagram, correlation coefficient, rank
correlation coefficient and inear regression analysis ( for two or more
variables ) excluding partial correlation oefficients. Concept
of Population, random sample, parameters, statistics, sampling
distribution of properties of estimators and estimation of confidence
intervals.Principles of sampling, simple random sampling, stratified
sampling, systematic sampling tc., Sampling and nonsampling errors,
typeI and typeII errors.Concepts of Hypothesis – Null and alternate,
Testing of hypothesis for large samples as well as small samples
including Chisquare tests ( Z, t, F, c2 tests ). Index Numbers, Time series analysis – components of variation and their estimation.
Economics
General Economics
Demand and Supply Analysis, including Laws and Interaction of Demand and Supply. Production Function and Laws of Returns. Commodity Pricing – Characteristics of various Market Forms and Price Determination under such Market Forms. Theory of Factor Pricing – Rent, Wage, Interest and Profit. Theory of Employment – Classical and Neoclassical Approach. Keynesian
Theory of Employment – Principles of Effective Demand. Meaning and
Importance of Investment, Relation between Saving and Investment,
Multiplier Effect and the process of Income Generation, Post Keynesian
Development. Nature and
Functions of Money, Value of Money, Fluctuations in the value of Money
– Inflation and Deflation, Monetary Policy, Index Number. International TradeFree Trade and Protection, Theories of International Trade. Foreign Exchange – Determination of the rate of Exchange – Purchasing Power Parity theory and Balance of Payment Theory. Public Finance – Nature. Scope and importance of Public Finance. Taxation – Meaning, Classification and Principles of Taxation, Incidence of Taxation. Deficit Financing. Fiscal Policy.
Indian Economics and General Statistics
Statistical Investigation – Meaning and Planning of Investigation. Collection of data and editing of data. Types of sampling. Schedule and questionnaire.
Presentation of data – classification, tabulation, etc. Measures of Central Tendency. National
Income and Accounting – Estimation of National Income, Trends in
National Income, Structural changes in the Indian Economy as seen in
National Income Data. Agricultural
sector – Agricultural Development during Plan Period, Rural Credit,
Agricultural Price Policy, Rural Development Cooperation and
Panchayati Raj. Industrial Policy and Industrial Development. Problems
of Economic Development – Indian Planning – Objectives, Techniques and
its evolution, Five Year Plans and Role of National Development Council. Profile
of Human Resources – Population and Economic Development, Demographic
Profile of India, Nature of Population Problem – Poverty, Inequality,
Unemployment Problem, Labour Problem, Population Control and Government
Policy. New Economic Policy and Welfare Schemes. Indian Public Finance – Indian Revenue, Foreign Aid. Indian Banking and Currency system.
Mathematics
Algebra:
Algebra of sets, relations and functions, Inverse of a function,
equivalence relation.The system of complex numbers, De Moivere’s
Theorem and its simple applications. Relation between roots and
coefficients of a polynomial equation – Evaluation of symmetric
function of roots of cubic and biquadratic equation. Algebra of Matrices:
Determinants, Simple properties of determinants, Multiplication of
determinants of orders two and three, Singular and nonsingular
matrices. Inverse of a matrix, Rank of a matrix and application of
matrices to the solution of linear equations ( in three unknowns
).Convergence of sequences, and series, tests of convergence of series
with positive terms, Ratio, Root and Gauss tests. Analytic Geometry:
Straight lines, Circles, System of circles, parabola, ellipse and
hyperbola in standard form and their elementary properties,
Classification of curves second degree. Differential Equation:
First order differential equation. Solution of Second and higher order
linear differential equations with constant coefficients and simple
applications. Differential and Integral Calculus:
Limit, continuity and differentiability of functions, successive
differentiation, derivatives of standard functions, Rolle’s and
Meanvalue Theorems, Maclaurins and Taylor’s series ( without proof)
and their applications,Maxima and Minima of functions of one and two
variables. Tangents and Normals,Curvature, Partial differentiation,
Euler’s theorem for homogeneous function, Tracing of curves.
Standard methods of integration, Riemann’s definition of definite
integral,fundamental theorem of integral calculus, quadrature,
rectification, volumes and surface area of solids of revolution. Statistics:
Frequency distributions, Measures of central tendency, measures of
dispersion, Skewness and Kurtosis, Random variables and distribution
function, Discrete distributions, Binomial and Poisson distribution,
continuous distributions, Rectangular, Normal and Exponential
distributions, Principles of least squares, correlation and regression,
Random Sampling, random numbers, Sampling of attributes, Large Sample
tests for mean and proportion, Tests of significance based on t, F and
Chisquare distributions.
Commerce
This
paper will cover all the subjects of commerce ordinarily taught at the
B.Com. or similar degree courses of Indian Universities. Specifically,
it will include the following subjects: Accountancy:
Conceptual framework, Income measurement, Final accounts,Accounting for
partnership firms, Hirepurchase accounting, Corporate accounting (
Issue, forfeiture and reissue of shares ). Business Organisation:
Business objectives, Business environment, Business entrepreneurship (
including location, choice of form of business and growth strategies
),Business operations including finance, production, marketing and
human resource development. Management: Concept of management, Planning, Organising, Leading and Controlling. Microeconomics:
Pricemechanism, Theory of consumer behaviour, Elasticity of demand,
Production function, Theory of costs, Market structures,
Pricedetermination under perfect competition and monopoly. Indian Economics:
Issues involved in planning for economic development, Sectoral analysis
of Indian economy including agriculture, industry and foreign trade. Business Statistics:
Analysis of Univariate data involving measurement of Central tendency
and dispersion, correlation and regression analysis, index numbers,
analysis of timeseries, Theory of probability. Business Law: Indian Contract Act, 1872, Sale of Goods Act, 1930, Partnership Act,1932 and Negotiable Instruments Act, 1881. Company Law:
Kinds of companies, matters involving incorporation of company, shares
and share capital and matters relating to issue and transfers of
shares, members of a company, management of a company, meetings and
resolutions, winding up of a company. Cost accounting: Procedures involved in cost accounting, marginal costing, costvolume profit analysis, Budgetary control, Standard costing. Auditing: Meaning and objects of auditing, Types of audit, Audit process. Income Tax: Basic concepts, Residence and tax liability, heads of income.

