**TNPSC Recruitment Exam 2016 Syllabus for Block Health Statistician** – TNPSC Block Health Statistician Exam

**Statistics**

**Degree Standard**

**Unit I**

Uses, Scope and limitation of Statistics, Collection Classification and tabulation of data, Diagrammatic and Graphical representation, Measures of location, dispersion, Skewness and Kurtosis.

**Unit II**

Probability – Addition, multiplication and Bay’s Theorems and their application. Chebychev’s inequality. Random variables – Univariate and Bivariate – probability distributions – Marginal and conditional distributions – Expectations – Moments and cumulants genevating functions Discrete distributions – Binomial, poisson, Geometric and Hypergeometric. Continuous distributions – Uniform, exponential and normal.

**Unit III**

Curve Fitting – Linear and Quadratic equation by the method of least squares. Correlation and regression.

**Unit IV**

Population and sample – Parameter and statistic, sampling distributions and standard error, student’s ‘t’ Chi-square and F statistic – distributions and their applications.

**Unit V**

Estimation – Point estimation – properties of estimates Neyman – Fisher Factorization theorem ( without proof ) Cramer – Rao inequality, Rao – Blackwell theorem – MLE and method of Moments estimation – Interval estimation – for population mean and variance based on small and large samples.

**Unit VI**

Tests of Hypothesis – Null and Alternative – Types of errors – Power of test, Neyman – Pearson lemma, UMP and Likelihood ratio tests, Test procedures for large and small samples – Independence of attributes, Chi-square test – Goodness of fit.

**Unit VII**

Simple random sample – stratified, systematic, Cluster ( Single stage ) Estimation of mean and variance in SKS – Sample Survey – Organisation – CSO and NSSO – Sampling and Non-Sampling errors.

**Unit VIII**

Analysis of Variance – Principles of design CRD, Rbd and LSD – Factorial experiments 22, 23 and 32 ( Without confounding ) Missing plot techniques.

**Unit IX**

Concept of SQC – Control Charts – X, R, p and C – Charts Acceptance sampling plan – single and double – oc curves Attributes and Variables plan, Reliability.

**Unit X**

Time series – Different Components – Trend and Seasonal Variations – Determination and elimination.

**Unit XI**

Index Numbers – Construction and uses – Different kinds of simple and weighted index numbers – Reversal tests – construction and use of cost of living index numbers.

**Unit XII**

OR Models – Linear Programming problems – Simplex method Dual – Primal, Assignment problems, Network – CPM and PERT.

**Unit XIII**

Basic programming – variables, constants and strings, flow charts – Basic expression and control statements, standard Library functions, subscripted variables DIM and Data statements simple programming problems. Birth and death rates – Crude and standard death rates, Fertility rates – Life table construction and uses.

**Mathematics**

**Degree Standard**

**Unit I**

Basic Mathematics :

Binomial, Exponential, Logarithmic series, summation of infinite series and approximation problems. L Hospitals’ rule, point wise convergence of sequence of functions, uniform convergence of sequences of functions, Consequences of Uniform convergence, Taylor’s series.

Theory of Numbers :

Prime and Composite numbers – Decomposition of composite number, Divisor of N, Euler function (N), Highest power of prime p contained in N. Divisibility of the product of r consecutive integers by r! Format’s & Wilson’s Theorems.

Vector Spaces & Inner product spaces :

Definitions and equation of Vector space, subspace, liner Independence – bases – Dimension, Dual spaces, Inner products Spaces Orthogonality – Orthogonal complement.

**Unit II**

**Analytical Geometry :**

Pairs of Straight lines – Angle between them – related problems – conditions for second degree equation to represent pair of straight line or Circle – System of Circles – Orthogonal and Coaxial system – Radical axis and radical centre – Limiting point – conics – parabola, ellipse and hyperbola – polar equations to straight line, circle and conic.

Dimensions :

Equation of a sphere with given centre and radius – General form of the equation of a sphere – Diameter from – Circular section, tangent plane to a sphere – Radical plane – Coaxial system of spheres – Orthogonality – Equation of a Cone with its Vertex at the origin – Equation of a quadratic cone with given vertix and given guiding curve – necessary and sufficient condition for a general second degree equation to represent a cone, right circular cone – equation of enveloping cone – general equation of a cylider – right circular cylinder.

**Unit III**

**Calculus :**

**Differential :**

Higher order derivatives Leibnitz’s theorem – simple problems using the above theorem. Maxima and Minima – conditions for external value – Standard function only – curvature – radius of curvature ( Cartesian Co-ordinates only ).

Partial Differentiation :

Total differentiation Coefficient, Value of dy/dx and d2y/dx2 in case of implicit functions in x and y in terms of partial derivatives, Total differential, Jacobians.

Integral :

Methods of integration, Integration of rational and irrational algebraic functions, Bernaulli’s formula for Integration by parts, reduction formulae – properties of definite Integrals.

Evaluation of double and triple integrals, change of order of integration, Double Integrals in polar Coordinates, application of double & triple Integrals to area, volume. Evaluation of Define integrals using Beta and gamma functions.

**Unit IV**

**Statics**

Gradient, Divergence, Curl, solenoidal & irrotational vectors, Directional derivative, Unit vector normal to a surface, tangent and normal planes to a surface 2, expansion formulae, Ordinary integrals of Vectors, line integrals, surface integrals and volume Integrals. Gass stock, Green’s theorems. Parallelogram and Triangle laws of force, Lamis theorem, parallel forces, moments, couples, three forces acting on a rigid body, conditions for equilibrium of Co-planar forces.

Forces in 3 dimensions, Invariance of F2, Friction, Centre of Gravity, method of symmetry for uniform bodies like thin rod, thin parallelogram, Circular ring & lamina triangular lamina, trapezium lamina.

**Unit V**

**Real Analysis**

Set and functions, sequences of real numbers – Definition, Limit, Convergent and divergent sequences, bounded sequences, monotonic sequence, series of real numbers, limit superior, Limit inferior, Cauchy, Sequence, convergent & divergent sequence, series with non-negative terms, alternating series.

Series of real numbers :

Rearrangement of series, Tests of absolute Convergence.

Limits & matric spaces :

Limit of a function on the real line, matric spaces, limits in matric spaces. Continuous functions on matric spaces, functions continuous at a point on the real line, reformulation, function continuous on a matric space, open sets, closed sets, Discontinuous functions on ‘R’ Connectedness, Complexness and Compactness.

**Unit VI**

**Operations Research and Liner Programming :**

Origin and development of O.R. – Nature and characteristics of O.R. Models in O.R. General solutions, methods for O.R. models – uses and limitations of O.R.

Liner Programming :

Formulation of problems, Graphical solution – standard form. Definition of basic solution. Degenerate Simplex method, Definition of artificial variable.

Transportation Problem :

Definition solutions to transport problem – initial feasible solution – optimality test – Degeneracy – Travelling sales man problem.

Sequencing : Processing n jobs through m machines.

**Unit VII**

**Algebra :**

Set theory – Relations – types of relations – Venn diagram – Groups – Sub group – order of an element – cyclic groups – normal groups – quotient groups – order of a Group Lagrange’s theorem – homomorphism, automorphism, Cayley’s theorem of permutation groups.

Rings : Definition, examples – special classes of rings – Homomorphism, ideals and quotient rings – field of quotients of an integral domain – Euclidean rings.

Matrices : Types of matrices – operation on matrices, singular and non singular matrices – Rank of a matrix and consistence of equation, eigen values & eigen vectors. Cayley – Hamilton theorem. Similar matrices, Diagonalisation of a matrix.

**Unit VIII**

**Differential Geometry :**

Curvature, Radius and centre of curvature in Cartesian Co-ordinates, evaluate – curvature in Polar Coordinates, p-r equations, Angle between radius vector and tangent, Angle of intersection of two curves. Pedal equation of a curve, Envelopes, Asymptotes.

Polar Co-ordinates :

Equations of straight line, Circle in polars – equations of tangent, normal & polar Equations of Conics in polars – equations of tangent, normal, polar & asymptotes.

**Unit IX**

Differential Equations :

Ordinary differential equations – first order but not of first degree. Total differential equation Pdx + Qdy + Rdz = 0, second order differential equations with constant Co-efficients. P.I. for the polynomials and eaxv, where V is Xn, Cos mx, Sin mx, n and m are constants. Differential equations of second order with variable Co-efficients. Partial differential equations – formation of partial differential equations by elimination – Laplace transforms – Inverse laplace transform.

**Unit X**

Dynamics : Virtual displacement, Principle of Virtual work.

Kinematic : Velocity, Acceleration, components of velocity and acceleration work power, energy, Rectilinear motion – motion with constant acceleration – motion under gravity – motion along an inclined plane, motion under gravity in a resisting medium.

Implusive forces and Impact : impulsive forces and Impact, Principles of Conservation of linear momentum, Collision of two smooth spheres – Direct impact of sphere on a fixed plane.

Projectiles : Two dimensions motion of a particle – projectile, range on a horizontal plane – range on an inclined plane.

Circular motion of a particle : Motion of a particle constrained to move along a smooth vertical circle under gravity – circular pendulum – simple pendulum.

Moments of Inertia : Moments of Inertia of simple bodies of parallel and perpendicular axed theorem. Motion of a rigid body about a fixed axis.

**Unit XI**

**Statistics :**

Frequency distributions – Graphs of frequency distribution, measures of central tendency, measures of dispersion, normal probability curve, skewness, kurtosis, Probability – Addition and multiplication theorem. Baye’s theorem.

Probability Distributions :

Binomial, Poisson, Normal Bivariate data, Curve fitting – Method of least squares. Correlation and regression Coefficient – Regression lines – rank Correlation. Test of hypothesis – uses of X2 – F tests – Tests involving means – Variances and proportions test of fit, test of independence in contingency table.

**All Technical Post Main Examination**

**General Studies**

**Degree / P.G Degree Standard ( Topics for Objective type )**

**Unit ‐ I General Science :**

**Physics** Universe ‐ General Scientific laws ‐ Scientific instruments ‐ Inventions and discoveries ‐ National scientific laboratories ‐ Science glossary ‐ Mechanics and properties of matter ‐ Physical quantities, standards and units ‐ Force, motion and energy ‐ Electricity and Magnetism, Electronics and Communication – Heat, light and sound ‐ Atomic and nuclear physics ‐ Solid State Physics – Spectroscopy – Geophysics – Astronomy and space science.

**Chemistry** Elements and Compounds ‐ Acids, bases and salts ‐ Oxidation and reduction – Chemistry of ores and metals – Carbon, nitrogen and their compounds – Fertilizers, pesticides, insecticides – Biochemistry and biotechnology – Electrochemistry – Polymers and plastics.

**Botany** Main Concepts of life science – The cell basic unit of life – Classification of living organism – Nutrition and dietetics – Respiration – Excretion of metabolic waste – Bio – communication.

**Zoology** Blood and blood circulation – Endocrine system – Reproductive system – Genetics the science of heredity – Environment, ecology, health and hygiene, Bio – diversity and its conservation – Human diseases – Communicable diseases and non – communicable diseases prevention and remedies – Alcoholism and drug abuse – Animals, plants and human life.

**Unit ‐ II Current Events :**

History Latest diary of events ‐ National ‐ National symbols ‐ Profile of States ‐ Defence, national security and terrorism ‐ World organizations – pacts and summits – Eminent persons & places in news – Sports & games – Books & authors – Awards & honours – Cultural panorama – Latest historical events – India and its neighbours – Latest terminology Appointments – who is who?

**Political Science** 1. India’s foreign policy 2. Latest court verdicts – public opinion 3. Problems in conduct of public elections 4. Political parties and political system in India. 5. Public awareness & General administration 6. Role of Voluntary organizations & Govt., 7. Welfare oriented govt. schemes, their utility.

**Geography** Earth and Universe – Solar system – Atmosphere hydrosphere, lithosphere – Monsoon, rainfall, weather and climate – Water resources – rivers in India – Soil, minerals & natural resources – Natural vegetation – Forest & wildlife – Agricultural pattern, livestock & fisheries – Transport including Surface transport & communication – Social geography – population – density and distribution – Natural calamities – disaster management – Climate change – impact and consequences – mitigation measures ‐ Pollution Control.

**Unit IV History and Culture of India**

Pre‐historic events – Indus valley civilization – Vedic, Aryan and Sangam age – Maurya dynasty – Buddhism and Jainism – Guptas, Delhi Sultans, Mughals and Marathas – Age of Vijayanagaram and the bahmanis – South Indian history – Culture and Heritage of Tamil people – Advent of European invasion – Expansion and consolidation of British rule – Effect of British rule on socio – economic factors – Social reforms and religious movements – India since independence – Characteristics of Indian culture – Unity in diversity – race, colour, language, custom – India – as secular state ‐ Organizations for fine arts, dance, drama, music – Growth of rationalist, Dravidian movement in TN – Political parties and populist schemes – Prominent personalities in the various spheres – Arts, Science, literature and Philosophy – Mother Teresa, Swami Vivekananda, Pandit Ravishankar, M.S.Subbulakshmi, Rukmani Arundel and J.Krishnamoorthy etc.

**Unit V Indian Polity**

Constitution of India : Preamble to the constitution – Salient features of constitution – Union, State and territory – Citizenship – rights amend duties – Fundamental rights – Fundamental duties – Human rights charter – Union legislature – Parliament – State executive – State Legislature – assembly – Status of Jammu & Kashmir – Local government – panchayat raj – Tamil Nadu – Judiciary in India – Rule of law / Due process of law – Indian federalism – center – state relations. Emergency provisions – Civil services in India – Administrative challenges in a welfare state – Complexities of district administration – Elections ‐ Election Commission Union and State. Official language and Schedule VIII – Amendments to constitution – Schedules to constitution. Administrative reforms & tribunals Corruption in public life – Anti – corruption measures – Central Vigilance Commission, lok – adalats, Ombudsman, – Comptroller and Auditor General of India – Right to information – Central and State Commission – Empowerment of women – Voluntary organizations and public grievances Redressal – Consumer protection forms.

**Unit – VI Indian Economy**

**Nature of Indian Economy :** Need for economic planning – Five year plan models – an assessment – Land reforms & agriculture – Application of science in agriculture – Industrial growth – Capital formation and investment – Role of public sector & disinvestment – Development of infrastructure – National income – Public finance & fiscal policy – Price policy & public distribution – Banking, money & monetary policy – Role of Foreign Direct Investment ( FDI ) – WTO – globalization & privatization – Rural welfare oriented programmes – Social sector problems – population, education, health, employment, poverty – HRD – sustainable economic growth – Economic trends in Tamil Nadu – Energy Different sources and development – Finance Commission – Planning Commission – National Development Council.

**Unit ‐ VI Indian National Movement**

National renaissance ‐ Early uprising against British rule – 1857 Revolt – Indian National Congress ‐ Emergence of national leaders ‐ Gandhi, Nehru, Tagore, Nethaji – Growth of militant movements – Different modes of agitations – Era of different Acts & Pacts – World war & final phase struggle – Communalism led to partition – Role of Tamil Nadu in freedom struggle – Rajaji, VOC, Periyar, Bharathiar & Others Birth of political parties / political system in India since independence.

**Unit VII Aptitude & Mental Ability Tests**

Conversion of information to data – Collection, compilation and presentation of data ‐ Tables, graphs, diagrams ‐ Parametric representation of data – Analytical interpretation of data – Simplification – Percentage – Highest Common Factor ( HCF ) – Lowest Common Multiple ( LCM ) – Ratio and Proportion – Simple interest – Compound interest – Area – Volume – Time and Work – Behavioral ability – Basic terms, Communications in information technology – Application of Information and Communication Technology ( ICT ) – Decision making and problem solving – Logical Reasoning – Puzzles – Dice – Visual Reasoning – Alpha numeric Reasoning – Number Series – Logical Number / Alphabetical / Diagrammatic Sequences – Logical Reasoning – Puzzles – Dice – Visual Reasoning – Alpha numeric Reasoning – Number Series.

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