Bootstrap methods for inference in the Parks model

This paper shows how to bootstrap hypothesis tests in the context of the Parks’s (1967) Feasible Generalized Least Squares estimator. It then demonstrates that the bootstrap outperforms FGLS(Parks)’s top competitor. The FGLS(Parks) estimator has been a workhorse for the analysis of panel data and se...

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Main Authors: Moundigbaye Mantobaye, Messemer Clarisse, Parks Richard W., Reed W. Robert
Format: Article
Language:English
Published: De Gruyter 2020-12-01
Series:Economics: Journal Articles
Subjects:
Online Access:https://doi.org/10.5018/economics-ejournal.ja.2020-4
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author Moundigbaye Mantobaye
Messemer Clarisse
Parks Richard W.
Reed W. Robert
author_facet Moundigbaye Mantobaye
Messemer Clarisse
Parks Richard W.
Reed W. Robert
author_sort Moundigbaye Mantobaye
collection DOAJ
description This paper shows how to bootstrap hypothesis tests in the context of the Parks’s (1967) Feasible Generalized Least Squares estimator. It then demonstrates that the bootstrap outperforms FGLS(Parks)’s top competitor. The FGLS(Parks) estimator has been a workhorse for the analysis of panel data and seemingly unrelated regression equation systems because it allows the incorporation of cross-sectional correlation together with heteroskedasticity and serial correlation. Unfortunately, the associated, asymptotic standard error estimates are biased downward, often severely. To address this problem, Beck and Katz (1995) developed an approach that uses the Prais-Winsten estimator together with “panel corrected standard errors” (PCSE). While PCSE produces standard error estimates that are less biased than FGLS(Parks), it forces the user to sacrifice efficiency for accuracy in hypothesis testing. The PCSE approach has been, and continues to be, widely used. This paper develops an alternative: a nonparametric bootstrapping procedure to be used in conjunction with the FGLS(Parks) estimator. We demonstrate its effectiveness using an experimental approach that creates artificial panel datasets modelled after actual panel datasets. Our approach provides a superior alternative to existing estimation options by allowing researchers to retain the efficiency of the FGLS(Parks) estimator while producing more accurate hypothesis test results than the PCSE.
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spelling doaj.art-2786603510a94b4781134a62a270e3af2022-12-22T03:37:48ZengDe GruyterEconomics: Journal Articles1864-60422020-12-0114110.5018/economics-ejournal.ja.2020-4Bootstrap methods for inference in the Parks modelMoundigbaye Mantobaye0Messemer Clarisse1Parks Richard W.2Reed W. Robert3Department of Economics and Finance, University of Canterbury, New ZealandBonneville Power Administration, Portland, Oregon, USADepartment of Economics, University of Washington, Washington, USADepartment of Economics and Finance, University of Canterbury, New ZealandThis paper shows how to bootstrap hypothesis tests in the context of the Parks’s (1967) Feasible Generalized Least Squares estimator. It then demonstrates that the bootstrap outperforms FGLS(Parks)’s top competitor. The FGLS(Parks) estimator has been a workhorse for the analysis of panel data and seemingly unrelated regression equation systems because it allows the incorporation of cross-sectional correlation together with heteroskedasticity and serial correlation. Unfortunately, the associated, asymptotic standard error estimates are biased downward, often severely. To address this problem, Beck and Katz (1995) developed an approach that uses the Prais-Winsten estimator together with “panel corrected standard errors” (PCSE). While PCSE produces standard error estimates that are less biased than FGLS(Parks), it forces the user to sacrifice efficiency for accuracy in hypothesis testing. The PCSE approach has been, and continues to be, widely used. This paper develops an alternative: a nonparametric bootstrapping procedure to be used in conjunction with the FGLS(Parks) estimator. We demonstrate its effectiveness using an experimental approach that creates artificial panel datasets modelled after actual panel datasets. Our approach provides a superior alternative to existing estimation options by allowing researchers to retain the efficiency of the FGLS(Parks) estimator while producing more accurate hypothesis test results than the PCSE.https://doi.org/10.5018/economics-ejournal.ja.2020-4parks modelfglspcsesurpanel datacross-sectional correlationbootstrapmonte carlosimulationc13c15c23c33
spellingShingle Moundigbaye Mantobaye
Messemer Clarisse
Parks Richard W.
Reed W. Robert
Bootstrap methods for inference in the Parks model
Economics: Journal Articles
parks model
fgls
pcse
sur
panel data
cross-sectional correlation
bootstrap
monte carlo
simulation
c13
c15
c23
c33
title Bootstrap methods for inference in the Parks model
title_full Bootstrap methods for inference in the Parks model
title_fullStr Bootstrap methods for inference in the Parks model
title_full_unstemmed Bootstrap methods for inference in the Parks model
title_short Bootstrap methods for inference in the Parks model
title_sort bootstrap methods for inference in the parks model
topic parks model
fgls
pcse
sur
panel data
cross-sectional correlation
bootstrap
monte carlo
simulation
c13
c15
c23
c33
url https://doi.org/10.5018/economics-ejournal.ja.2020-4
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AT messemerclarisse bootstrapmethodsforinferenceintheparksmodel
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AT reedwrobert bootstrapmethodsforinferenceintheparksmodel