Interpretability of Composite Indicators Based on Principal Components

Principal component approaches are often used in the construction of composite indicators to summarize the information of input variables. The gain of dimension reduction comes at the cost of difficulties in interpretation, inaccurate targeting, and possible conflicts with the theoretical framework...

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Main Authors: Kris Boudt, Marco d’Errico, Hong Anh Luu, Rebecca Pietrelli
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2022/4155384
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author Kris Boudt
Marco d’Errico
Hong Anh Luu
Rebecca Pietrelli
author_facet Kris Boudt
Marco d’Errico
Hong Anh Luu
Rebecca Pietrelli
author_sort Kris Boudt
collection DOAJ
description Principal component approaches are often used in the construction of composite indicators to summarize the information of input variables. The gain of dimension reduction comes at the cost of difficulties in interpretation, inaccurate targeting, and possible conflicts with the theoretical framework when the signs in the loading are not aligned with the expected direction of impact. In this study, we propose an adjustment in the construction of principal component approaches to avoid these problems. The effectiveness of the proposed approach is illustrated in defining the Food and Agriculture Organization of the United Nations’ Resilience Capacity Index, which is used to measure household-level resilience to food insecurity. We conclude that the robustness gain of using the new method improves the reliability of the composite indicator.
format Article
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institution Kabale University
issn 1687-9538
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Probability and Statistics
spelling doaj-art-cd3f9978aad343eb9284d4fb3be440782025-02-03T01:22:54ZengWileyJournal of Probability and Statistics1687-95382022-01-01202210.1155/2022/4155384Interpretability of Composite Indicators Based on Principal ComponentsKris Boudt0Marco d’Errico1Hong Anh Luu2Rebecca Pietrelli3Department of EconomicsFood and Agriculture Organization of the United NationsDepartment of BusinessFood and Agriculture Organization of the United NationsPrincipal component approaches are often used in the construction of composite indicators to summarize the information of input variables. The gain of dimension reduction comes at the cost of difficulties in interpretation, inaccurate targeting, and possible conflicts with the theoretical framework when the signs in the loading are not aligned with the expected direction of impact. In this study, we propose an adjustment in the construction of principal component approaches to avoid these problems. The effectiveness of the proposed approach is illustrated in defining the Food and Agriculture Organization of the United Nations’ Resilience Capacity Index, which is used to measure household-level resilience to food insecurity. We conclude that the robustness gain of using the new method improves the reliability of the composite indicator.http://dx.doi.org/10.1155/2022/4155384
spellingShingle Kris Boudt
Marco d’Errico
Hong Anh Luu
Rebecca Pietrelli
Interpretability of Composite Indicators Based on Principal Components
Journal of Probability and Statistics
title Interpretability of Composite Indicators Based on Principal Components
title_full Interpretability of Composite Indicators Based on Principal Components
title_fullStr Interpretability of Composite Indicators Based on Principal Components
title_full_unstemmed Interpretability of Composite Indicators Based on Principal Components
title_short Interpretability of Composite Indicators Based on Principal Components
title_sort interpretability of composite indicators based on principal components
url http://dx.doi.org/10.1155/2022/4155384
work_keys_str_mv AT krisboudt interpretabilityofcompositeindicatorsbasedonprincipalcomponents
AT marcoderrico interpretabilityofcompositeindicatorsbasedonprincipalcomponents
AT honganhluu interpretabilityofcompositeindicatorsbasedonprincipalcomponents
AT rebeccapietrelli interpretabilityofcompositeindicatorsbasedonprincipalcomponents