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Source document. This page reproduces the syllabus this course was written to, as published — its semesters, credits and paper numbers are that document’s, not this site’s. The course itself is studied on its own, in any order.

Course Overview

TitleEconometrics
SemesterVIII (additional / advanced course beyond the core syllabus)
Theory Credits4 (5 hrs/week)
Pre-requisitesStatistical Methods, Inferential Statistics, Continuous Distributions, ideally R Programming

Program Objectives

  1. To introduce the discipline of econometrics — the intersection of economic theory, mathematics, and statistics.
  2. To equip students with the ability to specify, estimate, test and interpret single-equation linear econometric models.
  3. To develop diagnostic skills for heteroscedasticity, multicollinearity and autocorrelation, and their remedies.

Learning Outcomes

After successful completion of this course, students will be able to:

  1. Identify the four data structures used in econometrics (cross-section, pooled cross-section, time-series, panel) and recognise the issues each brings.
  2. Estimate two-variable and multiple linear regression models by OLS, derive the Gauss–Markov theorem, and demonstrate the BLUE property.
  3. Use \(R^2\), \(t\)- and \(F\)-tests to evaluate model adequacy; understand the ANOVA decomposition.
  4. Diagnose heteroscedasticity (Park, Glejser, Breusch–Pagan, White, Goldfeld–Quandt) and apply WLS or robust SEs.
  5. Measure and remedy multicollinearity using VIF, tolerance, ridge regression, principal components.
  6. Test for autocorrelation (Durbin–Watson, Breusch–Godfrey), estimate the AR(1) coefficient, and apply Cochrane–Orcutt or HAC SEs.

Theory — Five Units

Unit I: Basic Econometrics

Nature of econometrics and economic data; concept of econometrics; steps in an empirical economic analysis; the econometric model; importance of measurement in economics; structure of econometric data — cross-section, pooled cross-section, time-series, paired (panel) data.

Open Unit 1 study material →

Unit II: Models and Estimations

Simple regression models — two-variable linear regression model, assumptions and estimation of parameters; Gauss–Markov theorem; OLS estimations; partial and multiple correlation coefficients; the general linear model — assumptions, estimation and properties of estimators; BLUEs.

Open Unit 2 study material →

Unit III: Heteroscedasticity

Tests of significance of estimators; \(R^2\) and ANOVA; concepts and consequences of heteroscedasticity; tests (Park, Glejser, Breusch–Pagan, White, Goldfeld–Quandt) and solutions (WLS, robust SEs); specification error; errors of measurement.

Open Unit 3 study material →

Unit IV: Multicollinearity

Concept of multicollinearity and its consequences on econometric models; detection methods; variance inflation factor (VIF) and tolerance — formula and interpretation; methods of reducing the influence of multicollinearity (dropping variables, ridge regression, principal components, transformation).

Open Unit 4 study material →

Unit V: Autocorrelation

Disturbance term in economic models and its assumptions; consequences of autocorrelated disturbances; detecting autocorrelation — hypothesis tests; Durbin–Watson test; estimation of autocorrelation coefficient for a first-order autoregressive scheme; Breusch–Godfrey LM test; Cochrane–Orcutt iterative procedure; Newey–West HAC standard errors.

Open Unit 5 study material →

Practical — List of Exercises (10)

  1. Simple linear regression by OLS — hand calculation and R.
  2. Computing \(R^2\) and the joint \(F\)-statistic.
  3. Multiple regression via matrix algebra: \((\mathbf X'\mathbf X)^{-1}\mathbf X'\mathbf Y\).
  4. Confidence interval and \(t\)-test for a single coefficient.
  5. Detecting heteroscedasticity — Breusch–Pagan test.
  6. White's general test for heteroscedasticity.
  7. Computing VIF and tolerance for multicollinearity.
  8. Durbin–Watson test for autocorrelation.
  9. Cochrane–Orcutt iterative procedure.
  10. Robust and HAC (Newey–West) standard errors.

Open the practical course study material →

Text Books

  1. Gujarati, D. & Sangeetha, S. (2007) — Basic Econometrics, 4th Edn., McGraw-Hill.
  2. Johnston, J. — Econometric Methods, 2nd Edn.
  3. G. S. Maddala — Econometrics.
  4. A. Koutsoyiannis — Theory of Econometrics.

References

  1. Wooldridge, J. M. — Introductory Econometrics: A Modern Approach, 7th Edn., Cengage.
  2. Greene, W. H. — Econometric Analysis, 8th Edn., Pearson.
  3. Stock, J. H. & Watson, M. W. — Introduction to Econometrics, 4th Edn., Pearson.

Suggested Co-Curricular Activities

  1. Hands-on workshops in R using lmtest, car, sandwich, plm.
  2. Mini-projects: estimate a wage equation, a consumption function, or a money-demand relation using Indian data (RBI, NSSO, MOSPI).
  3. Guest lectures by RBI / NIPFP / IDFC economists.
  4. Reading critical applied papers — for example replication of Card & Krueger's minimum-wage study.
  5. Comparative use of EViews / Stata / Python (statsmodels) on the same dataset.
UnitTopicApprox. Weightage
IBasic Econometrics15%
IIModels and Estimation25%
IIIHeteroscedasticity20%
IVMulticollinearity20%
VAutocorrelation20%