Detecting Location Shifts during Model Selection by Step-Indicator Saturation

To capture location shifts in the context of model selection, we propose selecting significant step indicators from a saturating set added to the union of all of the candidate variables. The null retention frequency and approximate non-centrality of a selection test are derived using a ‘split-half’...

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Main Authors: Jennifer L. Castle, Jurgen A. Doornik, David F. Hendry, Felix Pretis
Format: Article
Language:English
Published: MDPI AG 2015-04-01
Series:Econometrics
Subjects:
Online Access:http://www.mdpi.com/2225-1146/3/2/240
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author Jennifer L. Castle
Jurgen A. Doornik
David F. Hendry
Felix Pretis
author_facet Jennifer L. Castle
Jurgen A. Doornik
David F. Hendry
Felix Pretis
author_sort Jennifer L. Castle
collection DOAJ
description To capture location shifts in the context of model selection, we propose selecting significant step indicators from a saturating set added to the union of all of the candidate variables. The null retention frequency and approximate non-centrality of a selection test are derived using a ‘split-half’ analysis, the simplest specialization of a multiple-path block-search algorithm. Monte Carlo simulations, extended to sequential reduction, confirm the accuracy of nominal significance levels under the null and show retentions when location shifts occur, improving the non-null retention frequency compared to the corresponding impulse-indicator saturation (IIS)-based method and the lasso.
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spelling doaj.art-94e321d9569c441aa4f695e8bd69743f2022-12-22T04:22:59ZengMDPI AGEconometrics2225-11462015-04-013224026410.3390/econometrics3020240econometrics3020240Detecting Location Shifts during Model Selection by Step-Indicator SaturationJennifer L. Castle0Jurgen A. Doornik1David F. Hendry2Felix Pretis3Magdalen College and Institute for New Economic Thinking, Oxford Martin School, Oxford University, Eagle House, Walton Well Road, Oxford OX2 6ED, UKEconomics Department and Institute for New Economic Thinking, Oxford Martin School, Oxford University, Eagle House, Walton Well Road, Oxford OX2 6ED, UKEconomics Department and Institute for New Economic Thinking, Oxford Martin School, Oxford University, Eagle House, Walton Well Road, Oxford OX2 6ED, UKEconomics Department and Institute for New Economic Thinking, Oxford Martin School, Oxford University, Eagle House, Walton Well Road, Oxford OX2 6ED, UKTo capture location shifts in the context of model selection, we propose selecting significant step indicators from a saturating set added to the union of all of the candidate variables. The null retention frequency and approximate non-centrality of a selection test are derived using a ‘split-half’ analysis, the simplest specialization of a multiple-path block-search algorithm. Monte Carlo simulations, extended to sequential reduction, confirm the accuracy of nominal significance levels under the null and show retentions when location shifts occur, improving the non-null retention frequency compared to the corresponding impulse-indicator saturation (IIS)-based method and the lasso.http://www.mdpi.com/2225-1146/3/2/240structural breaksmodel selectionMonte Carloindicator saturationAutometrics
spellingShingle Jennifer L. Castle
Jurgen A. Doornik
David F. Hendry
Felix Pretis
Detecting Location Shifts during Model Selection by Step-Indicator Saturation
Econometrics
structural breaks
model selection
Monte Carlo
indicator saturation
Autometrics
title Detecting Location Shifts during Model Selection by Step-Indicator Saturation
title_full Detecting Location Shifts during Model Selection by Step-Indicator Saturation
title_fullStr Detecting Location Shifts during Model Selection by Step-Indicator Saturation
title_full_unstemmed Detecting Location Shifts during Model Selection by Step-Indicator Saturation
title_short Detecting Location Shifts during Model Selection by Step-Indicator Saturation
title_sort detecting location shifts during model selection by step indicator saturation
topic structural breaks
model selection
Monte Carlo
indicator saturation
Autometrics
url http://www.mdpi.com/2225-1146/3/2/240
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AT jurgenadoornik detectinglocationshiftsduringmodelselectionbystepindicatorsaturation
AT davidfhendry detectinglocationshiftsduringmodelselectionbystepindicatorsaturation
AT felixpretis detectinglocationshiftsduringmodelselectionbystepindicatorsaturation