Staff Selection Commission for students online
Scheme and syllabus of various Examinations Investigator
Examination A) Proficiency
Test Paper I : (Objective type consisting of 200 questions)
( The Candidates
will be required to answer questions on any one of the above subjects)
Note :
Paper II (conventional paper) will be evaluated in respect of only
those candidates who qualify in Paper  I (Objective type paper) at
the standard which may be decided by the Commission at its discretion.
C) Total marks
for recruitment  500 Marks 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 contingency, scatter
diagram, correlation coefficient, rank correlation efficient and linear
regression analysis (for two or more variables) excluding partial
correlation coefficients. Concept of Population, random sample, parameters,
statistics, sampling distribution of x, properties of estimators and
estimation of confidence intervals. 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,X tests). Index
Numbers, Time series analysis components of variation and their estimation.
(A) General Economics : 1. Demand and
Supply Analysis, including Laws and Interaction (B) Indian
Economics & General Statistics : Syllabus in
Mathematics for Recruitment of Investigators in NSSO (FOD) : Algebra :
Algebra of sets, relations and functions, Inverse of a function, equivalence
relation. The system of comples 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. Analytical
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 Mean value Theorems, Maclaurins and Taylor's
series ( without proof) and their applications, maxim and minima of
functions of one 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, quadrate,
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. 
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