Testing in a Random Effects Panel Data Model with Spatially Correlated Error Components and Spatially Lagged Dependent Variables

We propose a random effects panel data model with both spatially correlated error components and spatially lagged dependent variables. We focus on diagnostic testing procedures and derive Lagrange multiplier (LM) test statistics for a variety of hypotheses within this model. We first construct the j...

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Main Authors: Ming He, Kuan-Pin Lin
Format: Article
Language:English
Published: MDPI AG 2015-11-01
Series:Econometrics
Subjects:
Online Access:http://www.mdpi.com/2225-1146/3/4/761
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author Ming He
Kuan-Pin Lin
author_facet Ming He
Kuan-Pin Lin
author_sort Ming He
collection DOAJ
description We propose a random effects panel data model with both spatially correlated error components and spatially lagged dependent variables. We focus on diagnostic testing procedures and derive Lagrange multiplier (LM) test statistics for a variety of hypotheses within this model. We first construct the joint LM test for both the individual random effects and the two spatial effects (spatial error correlation and spatial lag dependence). We then provide LM tests for the individual random effects and for the two spatial effects separately. In addition, in order to guard against local model misspecification, we derive locally adjusted (robust) LM tests based on the Bera and Yoon principle (Bera and Yoon, 1993). We conduct a small Monte Carlo simulation to show the good finite sample performances of these LM test statistics and revisit the cigarette demand example in Baltagi and Levin (1992) to illustrate our testing procedures.
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spelling doaj.art-3290a45ad2a14897901610927777d5822022-12-22T04:01:23ZengMDPI AGEconometrics2225-11462015-11-013476179610.3390/econometrics3040761econometrics3040761Testing in a Random Effects Panel Data Model with Spatially Correlated Error Components and Spatially Lagged Dependent VariablesMing He0Kuan-Pin Lin1Department of Economics, University of Washington, Seattle, WA 98195, USADepartment of Economics, Portland State University, Portland, OR 97201, USAWe propose a random effects panel data model with both spatially correlated error components and spatially lagged dependent variables. We focus on diagnostic testing procedures and derive Lagrange multiplier (LM) test statistics for a variety of hypotheses within this model. We first construct the joint LM test for both the individual random effects and the two spatial effects (spatial error correlation and spatial lag dependence). We then provide LM tests for the individual random effects and for the two spatial effects separately. In addition, in order to guard against local model misspecification, we derive locally adjusted (robust) LM tests based on the Bera and Yoon principle (Bera and Yoon, 1993). We conduct a small Monte Carlo simulation to show the good finite sample performances of these LM test statistics and revisit the cigarette demand example in Baltagi and Levin (1992) to illustrate our testing procedures.http://www.mdpi.com/2225-1146/3/4/761individual random effectsspatial error correlationspatial lag dependencelagrange multiplier (LM) test(robust) LM test
spellingShingle Ming He
Kuan-Pin Lin
Testing in a Random Effects Panel Data Model with Spatially Correlated Error Components and Spatially Lagged Dependent Variables
Econometrics
individual random effects
spatial error correlation
spatial lag dependence
lagrange multiplier (LM) test
(robust) LM test
title Testing in a Random Effects Panel Data Model with Spatially Correlated Error Components and Spatially Lagged Dependent Variables
title_full Testing in a Random Effects Panel Data Model with Spatially Correlated Error Components and Spatially Lagged Dependent Variables
title_fullStr Testing in a Random Effects Panel Data Model with Spatially Correlated Error Components and Spatially Lagged Dependent Variables
title_full_unstemmed Testing in a Random Effects Panel Data Model with Spatially Correlated Error Components and Spatially Lagged Dependent Variables
title_short Testing in a Random Effects Panel Data Model with Spatially Correlated Error Components and Spatially Lagged Dependent Variables
title_sort testing in a random effects panel data model with spatially correlated error components and spatially lagged dependent variables
topic individual random effects
spatial error correlation
spatial lag dependence
lagrange multiplier (LM) test
(robust) LM test
url http://www.mdpi.com/2225-1146/3/4/761
work_keys_str_mv AT minghe testinginarandomeffectspaneldatamodelwithspatiallycorrelatederrorcomponentsandspatiallylaggeddependentvariables
AT kuanpinlin testinginarandomeffectspaneldatamodelwithspatiallycorrelatederrorcomponentsandspatiallylaggeddependentvariables