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Representing Multidimensional Phenomena of Geographic Interest: Benefit of the Doubt or Principal Component Analysis?

2022/05/02 by Matheus Pereira Libório, Oséias da Silva Martinuci, Oseias da Silva Martinuci +6 · 1 citation
Economics, Econometrics and Finance · Social Sciences · #Income, Poverty, and Inequality #Regional Economics and Spatial Analysis #Spatial and Panel Data Analysis

paper · doi:10.1080/00330124.2022.2048868

crossref issued 2022/05/02 · crossref published 2022/05/02 · crossref published-online 2022/05/02 · openalex publication_date 2022/05/02 · crossref created 2022/05/02 · crossref published-print 2022/10/02 · crossref deposited 2023/11/28 · openalex created_date 2025/10/10 · crossref indexed 2026/07/29 · openalex updated_date 2026/07/29

Abstract

Composite indicators are one-dimensional measures of multidimensional phenomena. Through the composite indicators, it is possible to have a single map of the different subindicators of poverty, inequality, sustainability, and economic development. This research employs two well-known methods of building composite indicators to represent the social exclusion of eight cities. This research shows that the benefit of the doubt and principal component analysis have limitations to representing multidimensional phenomena of geographic interest, but adaptations in these methods reduce these limitations. The benefit of the doubt constrained (BoD-c) restricts subindicator weight variations, increasing the composite indicator’s capacity to represent the most important subindicator in the concept of the multidimensional phenomenon. The principal component analysis adjusted (PCA-a) discards poorly correlated subindicators, ensuring a variance extracted in the first component above the acceptance threshold of 0.50. Contrasting BoD-c and PCA-a, geographically weighted principal component analysis has a limited capacity to capture the most important subindicator in the concept of the multidimensional phenomenon. Among twenty-three experts from nine countries, eighteen preferred PCA-a to BoD-c, indicating that information loss is not as critical a property as full comparability across geographic areas. Local experts agree that both maps represent local social reality, but PCA-a is more faithful to that reality.

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