• Matrix Algebra
  • Matrices Introduction
  • Deferent Types of matrices

 

• Addition, Subtraction and Multiplication of Matrices, Symmetric and Skew Symmetric matrix, Determinant of a Matrix, Inverse of a Matrix, Rank of a Matrix
  • Matrix algebra
    • Addition, subtraction and multiplication of matrices
    • Symmetric and skew Symmetric matrices
    • Determinant of a matrix
    • Inverse of a matrix
    • Rank of a matrix

 

• Solution of Simultaneous Equation using Matrices
  • Solution of Simultaneous linear equations using matrices
  • Matrix inversion method
  • Cramer’s rule

 

• Sets, Set Operations, Venn diagram
  • Introduction and definition
  • Different types of sets
  • Union, intersection and complement of a set
  • Difference of two sets
  • Venn diagram

 

• Probability: Random Experiment, Sample Space and Events, Addition and Multiplication theorems
  • Probability
    • Definitions –random experiment, sample space events etc.
    • Statement of Addition theorem and multiplication theorems
    • Problems based on the above theorems
    • Conditional probability

         

• Random Variable and Probability Distribution: Binomial, Poisson, Normal
  • Random Variable & Probability Distributions
    • Discrete and continuous random variable
    • Probability Distributions continuous and discrete
    • Binomial distribution
    • Poisson distribution
    • Normal Distribution
    • Uniform Distribution
    • Problems based on the above

 

• Concepts of Population, Sampling Etc.
  • Survey and sampling
    • Population and universe
    • Sampling
    • Sample
    • Types of Sampling
    • Steps in sampling

 

• Test of Significance
  • Test of Significance
    • Introduction –Hypothesis testing
    • Assumptions about parametric and non-parametric tests
    • Hypothesis –Null and Alternate Hypothesis
    • Hypothesis testing process
    • Type 1 and Type 2 Errors
    • Level of significance and rejection region

   

• Regression Analysis
  • Correlation and regression
    • Regression –Introduction and definition
    • Types of regression
    • Line of best fit
    • Regression equations
    • Properties of regression lines and regression coefficients
    • Standard error of estimate
    • Simple linear regression
    • Problems based on linear regression

 

• Parametric Tests
  • Parametric Test
    • Hypothesis test for the mean
      • Z test
      • t Test
    • ANOVA

   

• Decision Theory
  • Decision Theory
    • Decision analysis concept
    • Types of decision making environment
    • Decision making under certainty
    • Decision making under un uncertainty
    • Maximin, minimax, maximax, Laplace and Hurwitz alpha criterion
    • Decision making under risk –EOL,EMV and EVPI criteria
    • Decision trees

 

• Non Parametric Tests
  • Non Parametric Test
    • Mann-Whitney U test
    • Kolmogorov-Smirnov Z test
    • Chi square test

 

• Time Series Analysis
  • Time Series Analysis
    • Introduction and definitions
    • Various components of time series
    • Determination of trend by
      • Graphical method
      • Moving average method
      • Least Square method
      • Calculation of seasonal indices
        • Simple average method
      • Link relative method