SCHEME AND SYLLABUS FOR RECRUITMENT TO THE POST OF ASSISTANT STATISTICAL OFFICERS IN DIRECTORATE OF ECONOMICS & STATISTICS

SCHEME AND SYLLABUS FOR RECRUITMENT TO THE POST OF ASSISTANT STATISTICAL OFFICERS IN DIRECTORATE OF ECONOMICS & STATISTICS 

Paper I : General Studies

No. of Questions : 150

Marks : 150

Duration : 150 min

Paper II : Concerned Subject (one subject only)
No. of Questions : 150

Marks : 150

Duration : 150 min

The candidates have to choose one subject from the following subjects for Paper-II

SYLLABUS

 PAPER-I:  GENERAL STUDIES

1. General Science

2. Current Events of National and International Importance.

3. History of India and Indian National Movement. India and World Geography.

4. General Mental Ability.

 Questions on General Science will cover General appreciation and understanding of science including  matters  of  every  day  observation  and  experience,  as  may  be  expected  of  a  well educated person who has not made a special study of any particular scientific discipline.  In current  events,  knowledge  of  significant  national  and  international  events  will  be  tested.    In History of India, emphasis will be on broad general understanding of the subject in its social, economic  and  political  aspects.     

Questions  on  Indian  National  Movement  will  relate  to  the nature  and  character  of  the  nineteenth  century  resurgence,  growth  of  Nationalism  and attainment of independence. In geography emphasis will be on geography of India.  Questions on geography of India will relate to physical, social and economic geography of the country,
including the main features of the Indian agricultural and natural resources.  On general mental ability, the candidates will be tested on reasoning and analytical abilities.

5. DISASTER MANAGEMENT (Source : CBSE Publications)

a.  Concepts in disaster management and vulnerability profile of India / State of A.P.

b.  Earth quakes / Cyclones / Tsunami / Floods / Drought – causes and effects.

c.  Man made disasters - Prevention strategies.

d.  Mitigation strategies / Mitigation measures.

PAPER-2:  CONCERNED SUBJECTS

ECONOMICS

General Economics:
1. Micro- Economics: (a) Production, Agents of Production; Costs and Supply; Isoquants, (b) Consumption and Demand; Elasticity concept, (c) Market Structure and concepts of equilibrium; (d)  Determination  of  prices;  (e)  Components  and  Theories  of  Distribution,  (f)  Elementary concepts  of  Welfare  economics:  Pareto-optimality-Private  and  social  products  consumers surplus.

2. Macro- Economics:    (a)  National  Income  concepts;  (b)  Determinants  of  National  income employment (c) Determinants of consumption, savings and investment, (d) Rate of Interest and its determination, (e) Interest and Profit.

3. Money, Banking and Public Finance:    (a)  Concepts  of  Money  and  measures  of money supply; velocity of money, (b) Banks and credit creation; Banks and portfolio management, (c) Central Bank and control over money supply, (d) Determination of the price level, (e) Inflation, its  causes  and  remedies,  (f)  Public,  Finance-Budgets-Taxes  and  non-tax  revenues-Types  of Budget deficits.

4. International Economics:  
(1) Theories of International Trade-comparative costs – Hecksher-Ohlin-Gains from Trade-Terms of Trade.
(2) Free Trade and Protection
(3) Balance of payments accounts and adjustment
(4) Exchange rate under the exchange markets
(5) Evolution of the International Monetary System and World Trading order-Gold Standard-the Brettonwoods system.
IMF and the World Bank and their associates.
Floating rates-GATT and WTO:

5. Growth and Development:  (1) Meaning and measurement of growth; Growth, distribution and Welfare; (2) Characteristics of under-development; (3) Stages of Development; (4) Sources of growth-capital, Human capital, population, productivity, Trade and aid, non-economic factors; growth Strategies, (5) Planning in a mixed economy-Indicative planning-Planning and growth.

6.  Economic  Statistics:    Types  of  averages-measures  of  dispersion-correlation-Index numbers; types, uses and limitations.

PART-II 

Indian Economics:

1. Main features; Geographic size-Endowment of natural resources, Population; size composition quality and growth trend-Occupational distribution-Effects of British Rule with reference to Drain theory and Laissez Faire policy.

2. Major problems, their dimensions, nature and broad causes; Mass poverty-Unemployment and  its  types-Economics  effects  of  population  pressure-Inequality  and  types  thereof-Low productivity  and  low  per  capita  income,  Rural-urban  disparities-Foreign  Trade  and  payments imbalances.    Balance  of  Payments  and  External  Debt-Inflation  and  parallel  economy  and  its effects-Fiscal deficit.

3.  Growth  in  income  and  employment  since  Independence-Rate,  Pattern,  Sectoral  trends-Distributional Changes-Regional diparities.

4. Economic Planning in India: Major controversies on planning in India-Alternative strategies-goals and achievements, shortfalls of different plans-planning and the Market.

5.  Broad  Fiscal,  monetary,  industrial  trade  and  agricultural  policies-objectives,  rationale, constraints and effects.
 
 

STATISTICS

Probability:  Random  experiment,  sample  space,  event,  algebra  of  events,  probability  on  a discrete  sample  space,  basic  theorems  of  probability  and  simple  examples  based  theorem, conditional, probability of an event, independent events, Bayer’s theorem and its application, discrete  and  continuous  random  variables  and  their distributions,  expectation,  moments, moment generating function, joint distribution of two or more random variables, marginal and conditional distributions, independence of random variables, covariance, correlation, coefficient, distribution of a function of random variables. 

Bernouli, binomial, geometric, negative binomial, hypergeometric,  poisson,  multinomial,  uniform,  beta,  exponential,  gamma,  cauchy,  normal, longnormal  and  bivariate  normal  distributions,  real-life  situations  where  these  distributions provide  appropriate  models,  Chebyshev’s  inequality,  weak  law  or  large  numbers  and  central limit theorem for independent and identically distributed random variables with finite variance and their simple applications.

Statistical  Methods:  Concept  of  a  statistical  population  and  a  sample,  types  of  data, presentation and summarization of data, measures of central tendency, dispersion, skewness and kurtosis, measures of association and contingency, correlation, rank correlation, intraclass correlation,  correlation  ratio,  simple  and  multiple  linear  regression,  multiple  and  partial correlations (involving three variables only), curve-fitting and principle of least squares, concepts of random sample, parameter and statistic, Z, X2, t and F statistics and their properties and applications,  distributions  of  sample  range  and  median  (for  continuous  distributions  only), censored sampling (concept and illustrations).

Statistical  Inference:  Unbiasedness,  consistency,  efficiency,  sufficiency,  completeness, minimum  variance  unbiased  estimation,  Rao-Blackwell  theorem,  Lehmann-Scheffe  theorem, Cramer-Rao inequality and minimum variance bound estimator, moments maximum likelihood, least squares and minimum chisquare methods of estimation, properties of maximum likelihood and  other  estimators,  idea  of  a  random  interval,  confidence  intervals  for  the  parameters  of standard distributions, shortest confidence intervals, large-sample cofidence intervals. 

Simple and composite hypotheses, two kinds of errors, level of significance, size and power of a test,
desirable properties of a good test, most powerful test, Neyman-Pearson lemma and its use in simple  example,  uniformly  most  powerful  test,  likelihood  ratio  test  and  its  properties  and applications.
Chi-square  test,  sign  test,  Wald-Wolfowitz  runs  test,  run  test  for  randomness,  median  test,
Wilcoxon test and Wilcoxon-Mann-Whitney test.

Wal’s  sequential  probability  ratio  test,  OC  and  ASN  functions,  application  to  binomial  and normal distributions. Loss function, risk function, mini-max and Bayes rules.


Sampling Theory and Design of Experiments:  Complete enumeration vs. sampling, need for sampling, basic concepts in sampling, designing large-scale sample surveys, sampling and non-sampling errors, simple random sampling, properties of a good estimator, estimation of sample size,  stratified  random  sampling,  systematic  sampling  cluster  sampling,  ratio  and  regression methods of estimation under simple and stratified random sampling, double sampling for ratio and regression methods of estimation, two-stage sampling with equal-size first-stage units.

Analysis  of  variance  with  equal  number  of  observations  per  cell  in  one,  two  and  three-way classifications,  analysis  of  covariance  in  one  and  two-way  classifications,  completely randomized design, randomized block design, latin square design, missing plot technique, factorial  design,  total  and  partial  confounding,    factorial  experiments,  split-plot  design  and balanced incomplete block design.

 
 

MATHEMATICS

1.  Algebra:  Elements  of  Set  Theory;  Algebra  of  Real  and  Complex  numbers  including Demovire’s between Coefficients and Roots, symmetric functions of roots; Elements of Group Theory;  Sub-Group,  Cyclic  groups,  Permutation,  Groups  and  their  elementary  properties.  Rings, Integral Domains and Fields and their elementary properties.

2.  Vector  Spaces  and  Matrices:  Vector  Space,  Linear  Dependence  and  Independence. Sub-spaces. Basis and Dimensions, Finite Dimensional Vector Spaces. Linear Transformation of  a  Finite  dimensional  vector  Space,  Matrix  Representation.  Singular  and  Nonsingular Transformations. Rank and nullity. Matrices: Addition, Multiplication, Determinants of a Matrix, Properties of Determinants of order in, Inverse of a Matrix, Cramer’s rule.

3.  Geometry and Vectors:  Analytic Geometry of straight lines and conics in Cartesian and Polar coordinates; Three Dimensional geometry for planes, straight lines, sphere, cone and cylinder. Addition, Subtraction and Products of Vectors and Simple applications to Geometry.

4.   Calculus:  Functions, Sequences, Series, Limits, Continuity, Derivatives.  Application of Derivatives:  Rates  of  change,  Tangents,  Normals,  Maxima,  Minima,  Rolle’s  Theorem,  Mean value Theorems of Lagrange and Cauchy, Asymptotes, Curvature.  Methods of finding indefinite integrals, Definite Integrals, Fundamental Theorem of integrals Calculus.  Application of definite integrals to area, Length of a plane curve, Volume and Surfaces of revolution.

5.  Ordinary Differential Equations:  Order  and Degree  of  a  Differential  Equation,  First order  differential  Equations,  Singular  solution,  Geometrical  interpretation,  Second  order equations with constant cooefficients.

6.  Mechanics:  Concepts  of  particles-Lamina;  Rigid  body;  Displacement;  force,  Mass; Weight;  Motion,  Velocity;  Speed;  Acceleration;  Parallelogram  of  forces;  Parallelogram  of velocity,  acceleration;  resultant;  equilibrium  of  coplanar  forces;  Moments;  Couples;  Friction; Centre of mass, Gravity; Laws of motion; Motion of a particle in a straight line; simple Harmonic motion;  Motion  under  conservative  forces;  Motion  under  gravity;  Projectile;  Escape  velocity; Motion of artificial satellites.

7.  Elements  of  Computer  Programming:    Binary  system,  Octal  and  Hexadecimal systems.  Conversion to and from Decimal systems.  Codes, Bits, Bytes and Words.  Memory of a computer, Arithmetic and Logical operations on numbers.  Precision.  AND, OR, XOR, NOT and Shit/Rotate operators, Algorithms and Flow charts.

 

COMPUTER SCIENCE

Introduction to Computers:  Evolution and generation of Computers Number Systems; Binary, Octal,  Hexa  decimal  numbers  systems,  converting  from  one  number  system  to  another.  Character  codes,  data  representation,  fixed  and  floating,  binary  arithmetic,  Boolean  algebra, Boolean functions, logic gates, logic circuits.

Basic Computer Organization:  Instruction formats, addressing modes, Instruction cycle, ALU, Control  unit,  Micro  programmed  control  circuit,  Memory,  RAM,  ROM,  Cache  memory, Secondary memory, Input and output devices, Interrupt and DMA.

Computer  Programming:  ‘C’  language,  data  types,  variables,  constants,  expressions, statements,  control  structures,  loops,  functions,  pointers  and  arrays,  file-handling.    Object oriented programming with C++: Classes, objects, constructors and destructors, function and operator overloading, inheritance, virtual functions, function overriding, runtime polymorphism, multiple inheritance, streams and files.

Data Structures:  arrays, storage structure for arrays, stacks and queues operations and their applications, linked lists, dynamic memory allocation, linked stacks and queues, circular queues, abstract  data  types,  Trees,  binary  trees,  tree  traversals,  AVL  trees,  graphs,  definition, representation of graphs, DFS and BFS.

Operating System:  Types of Operating Systems, functions of operating systems, Processes, Threads,  Inter-process  communication,  Concurrency,  Synchronization,  Deadlock,  CPU scheduling, scheduling algorithms, Memory management and virtual memory, File systems, I/O systems, Protection and security.

Databases:  ER-model, Relational model, Reducing E-R Diagrams to Tables, Query languages
(SQL),  DDL,  DML,  Normalization,  File  structures,  sequential  files,  indexing,  B  and  B+  trees,
Hashing, Transactions and concurrency control.