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Selection model for domains across time: application to labour force survey by economic activities

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Abstract

This paper introduces a small area estimation approach that borrows strength across domains (areas) and time and is efficiently used to obtain labour force estimators by economic activity. Specifically, the data across time are used to select different models for each domain; such selection is done with an aggregated mixed generalized Akaike information criterion statistic which is obtained using data across all time points and then is split into individual component for each domain. The approach makes a selection from different estimators, including the direct estimator, synthetic and mixed estimators derived from different models using auxiliary information. Results from several simulation experiments, some with original designs, show the good performance of the approach against standard small area approaches. In addition, it is shown the important practical advantages in the real application.

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Authors and Affiliations

  1. CITIC, Universidade da Coruña, A Coruña, Spain

    María José Lombardía

  2. Instituto Galego de Estatística, Santiago de Compostela, Spain

    Esther López-Vizcaíno

  3. Universidad de Valladolid, Valladolid, Spain

    Cristina Rueda

Authors
  1. María José Lombardía
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  2. Esther López-Vizcaíno
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  3. Cristina Rueda
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Correspondence to María José Lombardía.

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Supported by the MINECO Grants MTM2017-82724-R, MTM2015-71217-R, and by the Xunta de Galicia (Grupos de Referencia Competitiva ED431C-2016-015 and Centro Singular de Investigación de Galicia ED431G/01), all of them through the ERDF.

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Lombardía, M.J., López-Vizcaíno, E. & Rueda, C. Selection model for domains across time: application to labour force survey by economic activities. TEST 30, 228–254 (2021). https://doi.org/10.1007/s11749-020-00712-4

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  • DOI: https://doi.org/10.1007/s11749-020-00712-4

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