Introductory Econometric Methods

Introductory Econometric Methods

1 Introduction to Econometrics

  1. Nature of Econometrics
  2. Specification of an Econometric Model
  3. Data Generation Process
  4. Functional Forms
  5. Software Packages for Econometric Analysis

2 Review of Statistical Foundations of Econometrics

  1. Statistical Inference
  2. Asymptotic Properties of an Estimator
  3. Hypothesis Testing
  4. Estimation Methods

3 Review of Matrix Algebra

  1. Basic Notations
  2. Multiplication of Matrices
  3. Determinant and Trace of a Matrix
  4. Inverse of a Matrix
  5. Rank of a Matrix
  6. Partitioned Matrices
  7. Eigenvalue and Eigenvector
  8. Certain Special Matrices
  9. Kronecker Product and Vec-operator
  10. Matrix Differentiation

4 Estimation of Two-variable Regression Model

  1. Estimation of Bivariate Models
  2. Standard Error of the Estimators
  3. Properties of the OLS Estimators
  4. Goodness of Fit
  5. Testing of Hypothesis
  6. Forecasting

5 Residual Analysis

  1. Introduction
  2. Issues in Estimation
  3. Analysis of Residuals
  4. Outliers
  5. Visual Detection of Heteroscedasticity
  6. Visual Detection of Autocorrelation
  7. Test for Normality
  8. Certain Special Cases
  9. Limitations of Regression Analysis

6 Estimation of Multiple Regression Models

  1. Specification of the Model
  2. OLS Method of Estimation
  3. Properties of OLS Estimators
  4. Best Linear Unbiased Estimator (BLUE)

7 Evaluation of Multiple Regression Models

  1. Coefficient of Determination
  2. Hypothesis Testing
  3. Testing Linear Restrictions

8 Model Specification Issues

  1. Possible Problems in Specification
  2. Inclusion of Variables in a Model
  3. Specification Error Test
  4. Model Selection Criteria
  5. Caution about Model Selection Criteria

9 Autocorrelation

  1. What is Autocorrelation?
  2. Consequences of Autocorrelation
  3. Detection of Autocorrelation
  4. Remedial Measures
  5. Methods of Estimating ฯ

10 Multicollinearity

  1. Concept of Multicollinearity
  2. Consequences of Multicollinearity
  3. Detection of Multicollinearity
  4. Remedial Measures for Multicollinearity

11 Heteroscedasticity

  1. Concept of Heteroscedasticity
  2. Consequences of Heteroscedasticity
  3. Detection of Heteroscedasticity
  4. Remedial Measures

12 Errors in Variables

  1. Introduction
  2. Consequences of Errors in Variables
  3. Instrumental Variables Method
  4. Test of Measurement Errors
  5. Inverse Regression

13 Stochastic Regressors

  1. Endogeneity Problem
  2. Instrumental Variable Estimator
  3. Two-Stage Least Squares Estimator

14 Qualitative Independent Variables in OLS Models

  1. Chow Test for Structural Stability
  2. The Nature of Dummy Variables
  3. Use of More than One Qualitative Variable
  4. Testing for Structural Stability through Dummy Variables
  5. Use of Dummy Variables in Seasonal Analysis
  6. Pooling Cross Section and Time Series Data

15 Qualitative Dependent Variables in OLS Models

  1. Introduction
  2. Linear Probability Model
  3. Logit Model
  4. Probit Model
  5. Joint Significance in Qualitative Response Regression Models
  6. Goodness-of-Fit in Logit and Probit Models
  7. Choice between Logit and Probit Models

16 Introduction to Simultaneous Equations Models

  1. Some Examples of Simultaneous Equations Models
  2. Endogenous Variables and Exogenous Variables
  3. Simultaneity Bias
  4. Structural Form and Reduced Form
  5. Concept of Identification
  6. Identification Conditions