Introduction to Statistics
- Basic Concepts of Statistics
- Definition, Classification, Characteristics of statistics
- Population and sample
- Descriptive Statistics
- Central tendency, Mean, Median, Mode
- Measures of location, Quartiles, Percentiles, Deciles
- Measures of variability or dispersion
- Range , Special range, Quartile deviation
- Mean deviation
- Variance and standard deviation
- Relative measures of dispersion
- Shape characteristics of a distribution, Skewness, Kurtosis
- Data Exploration with Graphical Means
- Bar diagram, Pie chart, Histogram, Scatter diagram
- Line diagram
- Random Phenomenon and Related Concepts
- Interpretations and Laws of Probability
- Interpretations of probability
- Laws of probability
- Probability Theorems
- Total probability theorem
- Bayes' theorem
- Probability Distribution Functions
- Univariate and Bivariate distribution function
- Marginal, Conditional and Derived Distributions
- Marginal distribution
- Conditional distribution
- Derived distribution
- Introduction to Estimation Theory
- Properties of Parameter Estimator
- Methods of Parameter Estimation
- Method of moments
- Method of maximum likelihood
- Discrete Distributions
- Binomial, Poisson, Hypergeometric, Exponential ,Gamma distribution
- Multinomial distribution
- Continuos Distributions
- Normal distribution
- Uniform/Rectangular Exponentia, Erlangian, Weibull, Cauchy distribution
- Beta distribution
- Lognormal distribution
- Pareto distribution
- Synthesized Distributions, Mixed Gaussian
- Correlation and Partial Correlation
- Correlation
- Partial correlation
- Simple Linear Regression
- Partitioning the sum of squares in simple regression
- Coefficient of determination
- Testing a hypothesis and making an inference concerning
- Confidence interval for a mean value of Y given a value
- Prediction interval for a new individual value given a value
- Multiple Linear Regression
- Regression Diagnostics
- Issues of Multicollinearity
