Tamil Nadu PSC Syllabus for Mains (Group-I Services)

Download Tamil Nadu PSC Syllabus for Mains Optional Paper - Statistics PDF

The Tamil Nadu Public Service Commission is a department of the government of Tamil Nadu that is responsible for governing the recruitment of personnel into the state's public service. Here is a Detailed Syllabus for Tamil Nadu PSC Syllabus for Mains Group-I Services Optional Paper - Statistics.

TNPSC Mains Syllabus for Optional Subject: Statistics

UNIT I: Uses, Scope and limitation of Statistics, Collection, Classification and Tabulation of data, Diagramatic and Graphical representation, Measures of location, dispersion, Skewness and Kurtosis – Correlation and regression – Curve Fitting –

Linear and Quadratic equation by the method of least squares.

UNIT II: Probability - Addition, Multiplication and Baye’s Theorems and their application. Tchebychev’s inequality. Random variables – Univariate and Bivariate –

Probability distributions – Marginal and conditional distributions – Expectations – Moments and cumulants generating functions.

UNIT III: Probability distributions – Binomial, Poisson, Geometric and Hypergeometric. Continuous distributions – Uniform, exponential and normal. Sampling distributions and standard error, student’s ‘t’, Chi-square and F statistic – distributions and their applications.

UNIT IV: 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 V: 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 VI: 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.

Analysis of Variance – Principles of design CRD, RBD and LSD – Factorial experiments 22, 23 and 32

 (Without confounding) Missing plot techniques.

UNIT VII: Concept of SQC – Control Charts – X, R, p and charts Acceptance sampling plan – single and double – OC curves Attributes and Variables plan.

OR Models – Linear Programming problems – Simplex method Dual – Primal,

Assignment problems, Net work – CPM and PERT

UNIT VIII: Time series – Different components – Trend and Seasonal Variations –

Determination and elimination

UNIT IX: Index Numbers – Construction and uses – Different kinds of simple and weighted index numbers – Reversal tests – construction and use of cost of living index numbers – Birth and death rates – Crude and standard death rates, Fertility rates – Life table construction and uses.

UNIT X: Statistical Computing using Excel – Understanding on the usage of Statistical Packages including SPSS, MINITAB and SAS.

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