• Matrix Algebra
    • Matrices Introduction
    • Defferent 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
 
  • Measures of Central Tendency – Mean, Median, Mode
    • Descriptive statistics
    • Measures of Central Tendency
      • Mean
      • Median
      • Mode
    • Advantages and disadvantages of– Mean, Median, Mode
 
  • Descriptive Statistics– Measures of Dispersion
    • Descriptive Statistics
      • Measures of Dispersion
      • Range
      • Quartile Deviation
      • Mean Deviation
      • Standard deviation
      • variance
     
  • Theory of Correlation: Meaning of Correlation, Simple Correlation, Co-efficient, Rank Correlation.
    • Correlation
      • Introduction
      • Types
      • Coefficient of correlation
      • Measurement of correlation
      • Scatter Diagram
      • Karl Pearson’s coefficient of correlation
      • Rank correlation
      • Coefficient  of Variation
      • Properties of correlation coefficient
 
  • Regression Analysis
    • 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
 
  • 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
 
  • Bayes Theorems and its Applications
    • Probability
      • Inverse Probability
      • Bayes theorem and its applications in business
       
  • 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
 
  • Non Parametric Tests
    • Non Parametric Test
      • Mann-Whitney U test
      • Kolmogorov-Smirnov Z test
      • Chi square test