STATISTICS
UNIT I
Uses, Scope and lidmitation of Statistics, Collection Classification and tabulation of data, Diagramatic and Graphical representation, Measures of location, dispersion, Skewness and Kurtosis.
UNIT II
Probability - Addition, multiplication and Bay's Theorems and their application. Tchebychev's inequality. Random variables - Univariate and Bivariate - probability distributions - Marginal and conditional distributions - Expectations - Moments and cumulants genevating fucntions Discrete distributions - Binomial, poisson, Geometric and Hypergeometric. Continuos 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 - Simples method Dual - Primal, Assignment problems, Net work - 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.
Uses, Scope and lidmitation of Statistics, Collection Classification and tabulation of data, Diagramatic and Graphical representation, Measures of location, dispersion, Skewness and Kurtosis.
UNIT II
Probability - Addition, multiplication and Bay's Theorems and their application. Tchebychev's inequality. Random variables - Univariate and Bivariate - probability distributions - Marginal and conditional distributions - Expectations - Moments and cumulants genevating fucntions Discrete distributions - Binomial, poisson, Geometric and Hypergeometric. Continuos 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 - Simples method Dual - Primal, Assignment problems, Net work - 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.
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