Chapter 1: Introduction to Econometrics
* Definition and scope of econometrics
* Role of econometrics in modern economics
* Types of economic models
* Data sources and types
Chapter 2: Descriptive Statistics
* Measures of central tendency (mean, median, mode)
* Measures of dispersion (variance, standard deviation, range)
* Graphical representations (histograms, box plots, scatterplots)
Example: Customer satisfaction survey
Mean satisfaction rating: 4.2 out of 5
Median: 4.5
Standard deviation: 0.8
Chapter 3: Probability Theory
* Concept of probability
* Types of probability distributions (binomial, normal)
* Laws of probability (additivity rule, multiplication rule)
Example: Rolling a six-sided die
Probability of rolling a 6: 1/6
Probability of rolling an even number: 3/6
Chapter 4: Statistical Inference
* Hypothesis testing
* Confidence intervals
* Sample size determination
Example: Evaluating marketing campaign
Hypothesis: Campaign will increase sales by 10%.
Sample size: 100 customers
Confidence interval: 5-15%
Chapter 5: Simple Regression Analysis
* Concept of regression
* Least squares method
* Interpreting regression coefficients
Example: Predicting house prices
Independent variable: square footage
Dependent variable: house price
Regression equation: Price = 200,000 + 100 * Square Footage
Chapter 6: Multiple Regression Analysis
* Extensions of simple regression
* Adding multiple independent variables
* Partial regression coefficients
Example: Predicting customer churn
Independent variables: age, income, number of support calls, tenure
Dependent variable: whether customer churned or not
Regression equation: Churn = 0.05 * Age - 0.02 * Income + 0.01 * Support Calls - 0.03 * Tenure
Chapter 7: Model Diagnostics and Specification
* Assessing model assumptions (linearity, homoscedasticity, normality)
* Diagnostic tests (residual analysis, F-test, t-test)
* Model specification (variable selection, transformation)
Example: Diagnostic for house price regression
Residual analysis shows randomness, indicating homoscedasticity.
t-test confirms statistical significance of square footage coefficient.
Chapter 8: Time Series Analysis
* Time series data
* Moving averages and exponential smoothing
* Stationarity and differencing
Example: Forecasting economic growth
Quarterly GDP data shows a time trend and seasonality.
Differencing removes trend and seasonality, allowing more accurate forecasting.
Chapter 9: Panel Data Analysis
* Dealing with multiple observations for the same individuals or groups
* Fixed effects and random effects models
* Hausman test for model selection
Example: Educational attainment and income
Panel data on household income and educational levels across multiple years.
Fixed effects model controls for individual-level unobserved factors.