Artikel

Small area estimation of socioeconomic indicators for sampled and unsampled domains

Socioeconomic indicators play a crucial role in monitoring political actions over time and across regions. Income-based indicators such as the median income of sub-populations can provide information on the impact of measures, e.g., on poverty reduction. Regional information is usually published on an aggregated level. Due to small sample sizes, these regional aggregates are often associated with large standard errors or are missing if the region is unsampled or the estimate is simply not published. For example, if the median income of Hispanic or Latino Americans from the American Community Survey is of interest, some county-year combinations are not available. Therefore, a comparison of different counties or time-points is partly not possible. We propose a new predictor based on small area estimation techniques for aggregated data and bivariate modeling. This predictor provides empirical best predictions for the partially unavailable county-year combinations. We provide an analytical approximation to the mean squared error. The theoretical findings are backed up by a large-scale simulation study. Finally, we return to the problem of estimating the county-year estimates for the median income of Hispanic or Latino Americans and externally validate the estimates.

Language
Englisch

Bibliographic citation
Journal: AStA Advances in Statistical Analysis ; ISSN: 1863-818X ; Volume: 106 ; Year: 2021 ; Issue: 2 ; Pages: 287-314 ; Berlin, Heidelberg: Springer

Classification
Mathematik
Subject
Bivariate model
Fay–Herriot model
Median income
Monte Carlo simulation
Non-sampled domains
Small area estimation

Event
Geistige Schöpfung
(who)
Burgard, Jan Pablo
Morales, Domingo
Wölwer, Anna-Lena
Event
Veröffentlichung
(who)
Springer
(where)
Berlin, Heidelberg
(when)
2021

DOI
doi:10.1007/s10182-021-00426-4
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Burgard, Jan Pablo
  • Morales, Domingo
  • Wölwer, Anna-Lena
  • Springer

Time of origin

  • 2021

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