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Courses

Basic Mathematics and Elements of Probability

  • Set theory
  • Function
  • Differentiation
  • Integration
  • Matrices
  • Permutation
  • Combination
  • Probability

Parametric Test

  • Large Sample Test for Mean
  • Variance
  • Proportion
  • Correlation
  • Small Sample Tests
  • χ2, t, F & Z-transformation
  • ANOVA

Sample Survey

  • Population
  • Sample
  • Sample survey
  • Determination of Sample Size
  • Pilot Surveys
  • Nonresponse
  • Simple Random Sampling
  • Stratified Random Sampling
  • Systematic Sampling
  • Two Stage Sampling

Multivariate Analysis

  • Hotelling T2 distribution
  • Partial Correlation
  • Multiple Correlations
  • Multiple Linear Regression Model
  • Least Square Estimation
  • Inference
  • Factor Analysis
  • Principal
  • Component Analysis
  • Canonical Correlation Analysis

Statistical Inference

  • Estimation
  • Erties of Point Estimator
  • Parameter
  • Statistics
  • Unbiasedness
  • Consistency
  • Efficiency
  • Sufficiency
  • Minimum Variance Unbiased Estimator
  • Methods of Estimation
  • Interval Estimation
  • Elementary Decision Theory

Testing of Hypotheses

  • Statistical Hypothesis
  • Simple and Composite Hypothesis
  • Null and Alternative Hypothesis
  • One-Sided and Two-Sided Hypotheses.
  • Test of Hypothesis
  • Critical Region or Region of Rejection
  • Acceptance Region
  • Types of Errors
  • Sizes of the Errors
  • Level of Significance
  • Power Function of the Test,
  • Two-Tail and One Tail Tests
  • Most Powerful Test
  • Test of Significance

Operations Research

  • Linear Programming
  • Transportation Problems
  • Assignment Problems
  • Duality
  • Inventory Management Systems
  • Sequencing
  • Sensitivity Analysis
  • Integer Programming
  • PERT / CPM
  • Replacement Theory
  • Goal Programming

Econometrics

  • Methodology of an Econometrics Study
  • Multivariate Linear Regression Model
  • OLS Estimation
  • Coefficient of Multiple Correlations
  • Interpretation of Regression Coefficients
  • Partial Correlation Coefficients
  • Multivariate Linear Regression Model
  • OLS Estimators and their Properties
  • Coefficient of Determination
  • Normality Assumptions about Error term
  • Statistical Inference under Normality Assumption
  • Multicolinearity
  • Heteroscedasticity
  • Autocorrelation

Population Studies

  • Nature of Demography
  • Techniques of Population Studies
  • Basic Demographic Measures
  • Sex-Ratio
  • Child-Women Ratio
  • crude Rates, Specific Rates
  • Life Tables
  • Mortality
  • Fertility and Reproduction
  • Growth of Population and Models of Population
  • Population Estimates and Projections
  • Census and Sample Surveys

Design of Experiments

  • Concept and History of Design of Experiments
  • Need for Designed Experiments
  • Blocking and Randomized Block Design
  • Basic Principles of Design of Experiments
  • Complete and Incomplete Block Designs
  • Completely Randomized Design
  • Randomized Block Design
  • Latin Square Design
  • Missing Plot Technique for RBD
  • Balanced Incomplete Block Design
  • Analysis of Covariance
  • Factorial Experiments

Stat for Economics

  • Time Series Analysis
  • Components of a Time Series
  • Different Methods for Determination of Trend.
  • Index Number

Industrial Statistics

  • Quality
  • Statistical Quality Control
  • Control Charts for Variables & Attribute
  • Acceptance Sampling

Sampling Distributions

  • T – Distribution
  • F – Distribution
  • Chi Square Distribution

Nonparametric Tests

  • Sign
  • Median
  • Run
  • Mann Whitney
  • Wilcoxen
  • K-S tests
  • K-W. Test

Probability Distribution

  • Random Variable
  • Expectation
  • Moments
  • Skewness
  • Kurtosis
  • Discrete Probability Distributions
  • Continuous Probability Distributions