**Statistical Investigator and Compiler Grade III Examination Syllabus**

**Paper-I (Objective Type)**

**1. 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.

**2. 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.

**3. 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

**Paper-II : (Conventional Type)**

**Syllabus for the Subjects :** Statistics

1. Probability, Probability Distributions, Binomial, Poisson, Normal, Exponential.Compilation, classification, tabulation of Statistical Data, Graphical presentation of data.

2. Measures of central tendency, measures of dispersion, measures of association and contingency, scatter diagram, correlation coefficient, rank correlation coefficient and linear regression analysis ( for two or more variables ) excluding partial correlation coefficients.

3. Concept of Population, random sample, parameters, statistics, sampling distribution of x properties of estimators and estimation of confidence intervals.

4. Principles of sampling, simple random sampling, stratified sampling, systematic sampling etc., Sampling and non-sampling errors, type-I and type-II errors. Concepts of Hypothesis – Null and alternate, Testing of hypothesis for large samples as well as small samples including Chi-square tests ( Z, t, F, c2 tests ). Index Numbers, Time series analysis – components of variation and their estimation.

**Economics**

**General Economics**

1. Demand and Supply Analysis, including Laws and Interaction of Demand and Supply.

2. Production Function and Laws of Returns.

3. Commodity Pricing – Characteristics of various Market Forms and Price Determination under such Market Forms.

4. Theory of Factor Pricing – Rent, Wage, Interest and Profit.

5. Theory of Employment – Classical and Neo-classical Approach.

6. 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.

7. Nature and Functions of Money, Value of Money, Fluctuations in the value of Money – Inflation and Deflation, Monetary Policy, Index Number.

8. International Trade-Free Trade and Protection, Theories of International Trade.

9. Foreign Exchange – Determination of the rate of Exchange – Purchasing Power Parity theory and Balance of Payment Theory.

10. Public Finance – Nature. Scope and importance of Public Finance.

11. Taxation – Meaning, Classification and Principles of Taxation, Incidence of Taxation.

12. Deficit Financing.

13. Fiscal Policy.

**Indian Economic and General Statistics**

1. Statistical Investigation – Meaning and Planning of Investigation.

2. Collection of data and editing of data.

3. Types of sampling.

4. Schedule and questionnaire.

5. Presentation of data – classification, tabulation, etc.

6. Measures of Central Tendency.

7. National Income and Accounting – Estimation of National Income, Trends in National Income, Structural changes in the Indian Economy as seen in National Income Data.

8. Agricultural sector – Agricultural Development during Plan Period, Rural Credit, Agricultural Price Policy, Rural Development Co-operation and Panchayati Raj.

9. Industrial Policy and Industrial Development.

10. Problems of Economic Development – Indian Planning – Objectives, Techniques and its evolution, Five Year Plans and Role of National Development Council.

11. 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.

12. New Economic Policy and Welfare Schemes.

13. Indian Public Finance – Indian Revenue, Foreign Aid.

14. Indian Banking and Currency system.

**Mathemetics**

**1. 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 co-efficients of a polynomial equation – Evaluation of symmetric function of roots of cubic and biquadratic equation.

** 2. Algebra of Matrices :**

Determinants, Simple properties of determinants, Multiplication of determinants of orders two and three, Singular and non-singular 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.

** 3. Analytic Geometry :**

Straight lines, Circles, System of circles, parabola, ellipse and hyperbola in standard form and their elementary properties, Classification of curves second degree.

**4. Differential Equation :**

First order differential equation. Solution of Second and higher order linear differential equations with constant coefficients and simple applications.

** 5.Differential and Integral Calculus :**

Limit, continuity and differentiability of functions, successive differentiation, derivatives of standard functions, Rolle’s and Mean-value Theorems, Maclaurins and Taylor’s series ( without proof) and their applications,

6. 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.

7. 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.

** 8. 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 Chi-square distributions.

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