- Measures of Central Tendency – Mean, Median, Mode
- Descriptive statistics
- Measures of Central Tendency
- Advantages and disadvantages of– Mean, Median, Mode
- Skewness & Kurtosis
- Descriptive statistics
- Skewness & Kurtosis
- 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
- 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
- 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
- Probability: Random Experiment, Sample Space and Events, Addition and Multiplication theorems
- Definitions –random experiment, sample space events etc.
- Statement of Addition theorem and multiplication theorems
- Problems based on the above theorems
- Conditional probability
- 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
- 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
- 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
- Mann-Whitney U test
- Kolmogorov-Smirnov Z test
- Chi square test