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An algorithm for reconciling indicators across multiple dimensions: weighted iterative proportional fitting

  • Jose M. Pavía [1] Árbol académico ; Josep Lledó [1] ; Priscila Espinosa [1]
    1. [1] Universitat de València

      Universitat de València

      Valencia, España

  • Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 50, Nº. 1, 2026, págs. 67-88
  • Idioma: inglés
  • DOI: 10.57645/20.8080.02.32
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  • Resumen
    • Reconciling multidimensional count data across multiple sources is a common challenge in social and economic research. Iterative proportional fitting is widely used for this purpose, but aligning indices under weighted sum-convex constraints calls for a more flexible approach. We introduce the weighted iterative proportional fitting algorithm, which incorporates sum-weighted constraints to adjust indicators—such as death-risk indices by wealth, habitat, and climate—while preserving marginal consistency. Weighted iterative proportional fitting has been implemented in an R package of the same name, enabling scholars, statisticians, and policymakers’ advisors, among others, to apply it easily to multidimensional data.


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