Panel and Grouped Data Course

Workbook Preface

This workbook is based upon the content of the RATS e-course on Panel and Grouped Data, offered in spring 2012. While it covers the basic techniques of panel data econometrics, the emphasis is on the “time-series” aspects, with Dynamic Panels (Chapter 7), Unit Root Tests (Chapter 9), Cointegration (Chapter 10) and VAR’s (Chapter 13). It also includes several examples of the use of Gibbs sampling for panel data including linear and non-linear random effects in Chapter 11 and random coefficients models in Chapter 12 and applied to VAR’s in Chapter (13).

This makes use of a number of important features for dealing with panel data added with RATS versions 8 and 8.1. The improvements to the core instructions PREGRESS, PANEL and PFORM provide greater flexibility for dealing with both panel and general grouped data.

Workbook Contents

(187 pages)

Preface 
1 Introduction 
1.1 Heterogeneous vs Homogeneous parameters
1.2 Panel vs Grouped Data 
1.3 Balanced vs Unbalanced Panels 
1.4 PANEL date scheme

2 Preparing Data 
2.1 Combining Multiple Time Series
2.2 Changing the Blocking
2.3 Mixed Time-Varying and Time-Invariant Data

3 Computational Tools for Panel Data
3.1 SET, SSTATS and related instructions 
3.2 PANEL
3.3 SWEEP
3.4 PSTATS
3.5 BOOT and Bootstrapping
3.6 LWINDOW=PANEL and Clustered Standard Errors

4 Fixed Effects
4.1 A More Realistic Example 
4.2 Balanced vs Unbalanced Samples
4.3 Implementing with RATS 
4.4 Testing Fixed Effects
4.5 METHOD=BETWEEN 

Example 4.1 Fixed Effects 

5 Random Effects 
5.1 The Random Effects Estimator 
5.2 Estimating the Component Variances 
5.3 Using RATS
5.4 Hausman Test 
5.5 Direct Calculation of Component Variances 
5.6 Random Effects Transformations 

Example 5.1 Random Effects

6 Two-Way Effects 
6.1 Balanced vs Unbalanced 
6.2 Using RATS
6.3 Hausman Tests 
6.4 PANEL instruction

Example 6.1 PREGRESS with Two-Way Effects 

7 Dynamic Panels
7.1 The Bias in Fixed Effects Estimators 
7.2 The Examples
7.3 First Difference Instrumental Variables Estimators 
7.4 Expanded Instrument Sets
7.5 Bias Correction

Example 7.1 Dynamic Panel-Instrumental Variables Estimation
Example 7.2 Dynamic Panel-Biased Correction Estimation 

8 Non-Linear Models 
8.1 Non-linear Least Squares
8.2 Probit and Logit Models
8.2.1 Conditional (Fixed Effects) Logit 
8.2.2 Random Effects Probit 

Example 8.1 Non-linear Least Squares with Fixed Effects
Example 8.2 Logit and Probit with Individual Effects

9 Unit Root Testing
9.1 The Example
9.2 Levin-Lin-Chu test 
9.3 Harris-Tzavalis Test
9.4 Im-Pesaran-Shin Test
9.5 Breitung Test
9.6 Hadri Test

Example 9.1 Panel Unit Root Tests

10 Cointegration and Error Correction Models 
10.1 Pedroni Tests
10.2 Estimation with Heterogeneous Cointegrating Vectors
10.2.1 Fully-Modified Least Squares 
10.2.2 Dynamic OLS 
10.3 Estimation with Homogeneous Cointegrating Vectors 
10.3.1 Mark and Sul DOLS 
10.3.2 Pesaran-Shin-Smith Pooled Mean Group 

Example 10.1 Panel Cointegration with Heterogeneous Cointegrating Vectors 
Example 10.2 Panel Cointegration with Homogeneous Cointegrating Vector 
Example 10.3 Panel Error Correction Model

11 Simulation and Bootstrap Methods 
11.1 Linear Random Effects
11.2 Random Effects Probit 
11.3 Bootstrapping 

Example 11.1 Random Effects by Gibbs Sampling
Example 11.2 Random Effects Probit by Gibbs Sampling 
Example 11.3 Bootstrapping a Unit Root Test

12 Mean Group and Related Estimators 
12.1 Mean Group Estimator
12.2 Swamy Random Coefficients Models 
12.3 MCMC Estimation for Random Coefficients

Example 12.1 Mean Group and Random Coefficients Models

13 Vector Autoregressions 
13.1 Instrumental Variables Estimators
13.2 Shrinkage Estimators, Univariate Autoregressions 
13.3 Shrinkage Estimators, VAR’s
13.4 Causality Tests

Example 13.1 Panel VAR with instrumental variables 
Example 13.2 Univariate Autoregression: Shrinkage Estimator 
Example 13.3 Vector Autoregression: Shrinkage Estimator 
Example 13.4 Causality Test 

A Random Effects Component Estimators 
A.1 Individual Effects Only
A.1.1 Wallace-Hussain (OLS-based) 
A.1.2 Amemiya or Wansbeek-Kapteyn (Fixed Effects-based)
A.1.3 Swamy-Arora (Fixed and Between)
A.2 Two-Way Effects
A.2.1 Wallace-Hussain 
A.2.2 Amemiya (Fixed Effects-based) 
A.2.3 Swamy-Arora (Fixed and Between) 

B Corrected Covariance Matrices 

C Probability Distributions
C.1 Chi-Squared Distribution 
C.2 Univariate Normal
C.3 Multivariate Normal 
C.4 Gamma Distribution 
C.5 Inverse Gamma Distribution
C.6 Wishart Distribution

D Properties of Multivariate Normals

Bibliography 

Index