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Chapter 1 - introduction to econometrics.
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ECONOMETRICS Chapter # 1: Introduction Domodar N. Gujarati
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Econometrics I
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Professor W. Greene Department of Economics Office: MEC 7-90, Ph. 998-0876 e-mail: [email protected] Home page: http://people.stern.nyu.edu/wgreene
Abstract: This is an intermediate level, Ph.D. course in Applied Econometrics . Topics to be studied include specification, estimation, and inference in the context of models that include then extend beyond the standard linear multiple regression framework. After a review of the linear model, we will develop the asymptotic distribution theory necessary for analysis of generalized linear and nonlinear models. We will then turn to instrumental variables, maximum likelihood, generalized method of moments (GMM), and two step estimation methods. Inference techniques used in the linear regression framework such as t and F tests will be extended to include Wald, Lagrange multiplier and likelihood ratio and tests for nonnested hypotheses such as the Hausman specification test. Specific modelling frameworks will include the linear regression model and extensions to models for panel data, multiple equation models, and models for discrete choice.
Notes: The following list points to the class discussion notes for Econometrics I. These are Power Point (.pptx) files and pdf documents (.pdf).
Econometrics I
Jan 17, 2013
240 likes | 506 Views
Econometrics I. Professor William Greene Stern School of Business Department of Economics. Econometrics I. Part 1 - Paradigm. Econometrics: Paradigm. Theoretical foundations Microeconometrics and macroeconometrics
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Econometrics I Professor William Greene Stern School of Business Department of Economics
Econometrics I Part 1 - Paradigm
Econometrics: Paradigm • Theoretical foundations • Microeconometrics and macroeconometrics • Behavioral modeling: Optimization, labor supply, demand equations, etc. • Statistical foundations • Mathematical Elements • ‘Model’ building – the econometric model • Mathematical elements • The underlying truth – is there one?
Why Use This Framework? • Understanding covariation • Understanding the relationship: • Estimation of quantities of interest such as elasticities • Prediction of the outcome of interest • The search for “causal” effects • Controlling future outcomes using knowledge of relationships
Model Building in Econometrics • Role of the assumptions • Parameterizing the model • Nonparametric analysis • Semiparametric analysis • Parametric analysis • Sharpness of inferences
Application: Is there a relationship between investment and capital stock? (10 firms, 20 years)
Nonparametric Regression What are the assumptions? What are the conclusions?
Semiparametric Regression • Investmenti,t = a + b*Capitali,t + ui,t • Median[ui,t | Capitali,t] = 0
Fully Parametric Regression • Investmenti,t = a + b*Capitali,t + ui,t • ui,t | Capitalj,s ~ N[0,2] for all i,j,s,t • Ii,t|Ci,t ~ N[a+bCit,2]
Estimation Platforms • The “best use” of a body of data • Sample data • Nonsample information • The accretion of knowledge • Model based • Kernels and smoothing methods (nonparametric) • Moments and quantiles (semiparametric) • Likelihood and M- estimators (parametric) • Methodology based (?) • Classical – parametric and semiparametric • Bayesian – strongly parametric
Classical Inference Population Measurement Econometrics Characteristics Behavior Patterns Choices Imprecise inference about the entire population – sampling theory and asymptotics
Bayesian Inference Population Measurement Econometrics Characteristics Behavior Patterns Choices Sharp, ‘exact’ inference about only the sample – the ‘posterior’ density.
Data Structures • Observation mechanisms • Passive, nonexperimental • Active, experimental • The ‘natural experiment’ • Data types • Cross section • Pure time series • Panel – longitudinal data • Financial data
Estimation Methods and Applications • Least squares etc. – OLS, GLS, LAD, quantile • Maximum likelihood • Formal ML • Maximum simulated likelihood • Robust and M- estimation • Instrumental variables and GMM • Bayesian estimation – Markov Chain Monte Carlo methods
Trends in Econometrics • Small structural models vs. large scale multiple equation models • Non- and semiparametric methods vs. parametric • Robust methods – GMM (paradigm shift) • Unit roots, cointegration and macroeconometrics • Nonlinear modeling and the role of software • Behavioral and structural modeling vs. “reduced form,” “covariance analysis” • Pervasiveness of an econometrics paradigm • Identification and “Causal” effects
Course Objective Develop the tools needed to read about with understanding and to do empirical research using the current body of techniques.
Prerequisites • A previous course that used regression • Mathematical statistics • Matrix algebra We will do some proofs and derivations We will also examine empirical applications
Readings • Main text: Greene, W., Econometric Analysis, 7th Edition, Prentice Hall, 2012. • A few articles • Notes and materials on the course website: http://people.stern.nyu.edu/wgreene/Econometrics/Econometrics.htm
http://people.stern.nyu.edu/wgreene/Econometrics/Econometrics.htm http://people.stern.nyu.edu/wgreene/Econometrics/Econometrics.htm
The Course Outline No class on: Thursday, September 5 Midterm: October 22
Course Applications • Software • LIMDEP/NLOGIT provided, supported • SAS, Stata, EViews optional, your choice • R, Matlab, Gauss, others • Questions and review as requested • Problem Sets: (more details later)
Course Requirements • Problem sets: 5 (25%) • Midterm, in class (30%) • Final exam, take home (45%) • Enthusiasm
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ECONOMETRICS I
ECONOMETRICS I. CHAPTER 9 DUMMY VARIABLE REGRESSION MODELS. Textbook: Damodar N. Gujarati (2004) Basic Econometrics , 4th edition, The McGraw-Hill Companies. The types of variables that we have encountered in the preceding chapters were essentially ratio scale.
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ECONOMETRICS I. CHAPTER 2: TWO VARIABLE REGRESSION ANALYSIS: SOME BASIC IDEAS. Textbook: Damodar N. Gujarati (2004) Basic Econometrics , 4th edition, The McGraw-Hill Companies. 2.1 A HYPOTHETICAL EXAMPLE. Imagine a hypothetical country with a total population of 60 families.
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ECONOMETRICS I. CHAPTER 8 MULTIPLE REGRESSION ANALYSIS: THE PROBLEM OF INFERENCE. Textbook: Damodar N. Gujarati (2004) Basic Econometrics , 4th edition, The McGraw-Hill Companies. 8.1 THE NORMALITY ASSUMPTION ONCE AGAIN.
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ECONOMETRICS I. CHAPTER 6: EXTENSIONS OF THE TWO-VARIABLE LINEAR REGRESSION MODEL. Textbook: Damodar N. Gujarati (2004) Basic Econometrics , 4th edition, The McGraw-Hill Companies. 6.1 REGRESSION THROUGH THE ORIGIN. 6.1 REGRESSION THROUGH THE ORIGIN. 6.1 REGRESSION THROUGH THE ORIGIN.
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ECONOMETRICS I. CHAPTER 1: THE NATURE OF REGRESSION ANALYSIS. Textbook: Damodar N. Gujarati (2004) Basic Econometrics , 4th edition, The McGraw-Hill Companies. HISTORICAL ORIGIN OF THE TERM REGRESSION. The term regression is introduced by Francis Galton.
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Econometrics I. Professor William Greene Stern School of Business Department of Economics. Gauss-Markov Theorem. A theorem of Gauss and Markov: Least Squares is the minimum variance linear unbiased estimator (MVLUE) 1. Linear estimator 2. Unbiased: E[ b | X ] = β
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ECONOMETRICS I. CHAPTER 3: TWO VARIABLE REGRESSION MODEL: THE PROBLEM OF ESTIMATION. Textbook: Damodar N. Gujarati (2004) Basic Econometrics , 4th edition, The McGraw-Hill Companies. 3.1 THE METHOD OF ORDINARY LEAST SQUARES. PRF: SRF: How is SRF determined?
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Econometrics I. Professor William Greene Stern School of Business Department of Economics. Econometrics I. Part 14 – Generalized Regression. Generalized Regression Model.
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ECONOMETRICS I. CHAPTER 5: TWO-VARIABLE REGRESSION: INTERVAL ESTIMATION AND HYPOTHESIS TESTING. Textbook: Damodar N. Gujarati (2004) Basic Econometrics , 4th edition, The McGraw-Hill Companies. 5.2 Interval Estimation: Some Basic Ideas.
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Econometrics I. Professor William Greene Stern School of Business Department of Economics. Econometrics I. Part 15 – Generalized Regression Applications. Leading Applications of the GR Model. Heteroscedasticity and Weighted Least Squares
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Presentation Transcript. ECONOMETRICS I CHAPTER 4: CLASSICAL NORMAL LINEAR REGRESSION MODEL • Textbook: Damodar N. Gujarati (2004) Basic Econometrics, 4th edition, The McGraw-Hill Companies. 4.1 THE PROBABILITY DISTRIBUTION OF DISTURBANCES ui • The OLS estimators of and are both linear functions of ui, which is random by assumption.
Jan 17, 2013. 240 likes | 505 Views. Econometrics I. Professor William Greene Stern School of Business Department of Economics. Econometrics I. Part 1 - Paradigm. Econometrics: Paradigm. Theoretical foundations Microeconometrics and macroeconometrics. Download Presentation. multiple equation models. data structures.
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