Organization : Andhra Pradesh Public Service Commission
Designation : Assistant Director In Economics And Statistical Service
Announcement : Syllabus
Home Page : https://psc.ap.gov.in/(S(2obdf0ou22svsc4uwmgw5e5t))/Default.aspx
Download Syllabus : http://www.syllabus.gen.in/uploads/876-Asst-Director.pdf
Assistant Director Syllabus :
Paper I :
General Studies And Mental Ability :
1. Events of national and international importance.
2. Current affairs- international, national and regional.
Related : Syllabus For Panchayat Secretary Andhra Pradesh Public Service Commission : www.syllabus.gen.in/872.html
3. General Science and it applications to the day to day life Contemporary developments in Science & Technology and Information Technology
4. Social- economic and political history of modern India with emphases on Indian national movement.
5. Indian polity and governance: constitutional issues, public policy, reforms and e-governance initiatives.
6. Economic development in India since independence.
7. Geography of India with focus on Andhra Pradesh.
8. Disaster management: vulnerability profile, prevention and mitigation strategies, Application of Remote Sensing and GIS in the assessment of Disaster
9. Sustainable Development and Environmental Protection
10. Logical reasoning, analytical ability and data interpretation.
11. Data Analysis: Tabulation of data Visual representation of data Basic data analysis (Summary Statistics such as mean and variance coefficient of variation etc.,) and Interpretation
12. Bifurcation of Andhra Pradesh and its Administrative, Economic, Social, Cultural, Political, and legal implications/problems, including
a). Loss of capital city, challenges in building new capital and it’s financial implications.
b). Division and rebuilding of common Institutions.
c). Division of employees, their relocation and nativity issues.
d). Effect of bifurcation on commerce and entrepreneurs.
e). Implications to financial resources of state government.
f). Task of post-bifurcation infrastructure development and opportunities for investments.
g). Socioeconomic, cultural and demographic impact of bifurcation.
h). Impact of bifurcation on river water sharing and consequential issues.
i). AP REORGANISATION ACT, 2014 on AP and the arbitrariness of certain provisions.
Paper-II :
1.Mathematics :
Real Analysis : Continuity and differentiability of real functions.; Uniform continuity, Sequences and series of functions. Uniform convergence. Functions of bounded variation. Riemann integration. Complex “Analysis: Analytic functions.
Cauchy’s theorem Cauchy’s integral formula. Laurent’s series. Singularities. Theory of residues – Conformal mapping. Abstract Algebra: Groups – Sub-groups – normal subgroups Quotient group Homomorphism – Fundamental theorem of Homomorphism, Permutation groups : Cayley’s theorem – Rings – Sub rings – Ideals – Fields – Polynomial rings.
Linear Algebra : Vector spacers – Basis and dimension – Linear transformations – Matrices – Characteristic roots and characteristic vectors – systems of linear equations – Canonical forms – Cayley – Hamilton theorem.
Differential Equations: First order ordinary differential equations (O.D.E) and their solutions – Singular solutions. Initial value problems for first order O.D.E. General theory of homogeneous and non-homogeneous linear differential equations, variation of parameters.
Elements of first order partial differential equations (PDE) Co-ordinate Geometry of Three Dimensions: The Plane – The straight-line – Sphere and cone.
2. Statistics :
01. Probability And Statistics : Sample space, events: Classical, Axiomatic and statistical definition of probability of an event. Addition and multiplication theorems of probability; conditional probability and Bayres theorem.
Random variables: Distribution function and its properties marginal and conditional distributions. Mathematical expectations, mathematical expectation of sum and product of random variables, Moments, variance and covariance.
Characteristic function and its simple properties. Binomial, Poisson, Geometric and Negative binomial distributions and their simple properties (such as mean, variance, characteristic function interrelationship if any) Normal, exponential, gamma and beta distributions and sampling distributions, Chi-square, T & F distributions; their inter-relationships and their simple properties.
Collection, classification and analysis of statistical data. Measures of location and dispersion, moments-raw and central. Correlation and regression; regression lines.
Curve fitting by the method of least squares, for the types:
(i) Y=a+bx2;
(ii) Y = a+bx+cx2;
(iii) Yx=ab; and
(iv) Yb=axb
02. Inference : Conceptual introduction to sufficient statistics unbiased estimators and consistent estimators, Maximum likelihood estimators. Estimation of parameters in Binomial, Poisson normal distributions.
Test of significance, statistical hypothesis, types of errors, level of significance, power of a test, large sample tests for means and proportions (one sample and two sample case). Small sample tests (t-test for one and two sample case).
Chi-square tests-testing of goodness of fit, testing independence of attributes. Run test for randomness, Sign test for location, Wilcoxin-Mamn Whitney test and Kolmogorov-Smirnov test.
03. Sampling Techniques : Simple Random Sampling: Estimates of population mean and population total; Variance of the estimates; estimation of standard error, confidence limits. Sampling for proportions and percentages variances of estimates.
Estimation of sample size. Stratified Random Sampling: Estimates of population mean and population total. Vacancies of the estimates. Confidence limits. Optimum allocation. Relative precision of stratified Random sampling and Simple Random Sampling.
Estimation of sample size. Stratified, sampling for proportion. Regression Estimators: Regression estimates with Preassigned value of b.estimates when b. is computed from sample estimate of variance.
Linear regression estimator under a linear regression model. Regression estimates in stratified sampling Regression coefficient estimated from sample. Text: William G. Cochran. Sampling Techniques (3rd edition) Willey Estern Ltd., New Delhi, Bombay, Calcutta (1977)
Sections :
** Ch. 2:2.1 to 2.8
** Ch. 3:3.1 to 3.2
** Ch. 4:4.4 to 4.6
** Ch. 5:5.1 to 5.12
** Ch. 7:7.1 to 7.4
** Ch. 7:8 to 7.10
04. Experimental Designs : Advantages, disadvantage; layout of the design analysis of the design and missing experimental unit analysis (where applicable) in case of the following design : Completely Randomised design, Randomised Block design, Latin square design and the Factorial design (22 and 23 factorial designs only)