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Título:
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Improving the representativeness of a simple random sample: an optimization model and its application to the Continuous Sample of Working Lives
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Autores:
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Núñez Antón, Vicente ;
Pérez Salamero González, Juan Manuel ;
Regúlez Castillo, Marta ;
Vidal Meliá, Carlos
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Tipo de documento:
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texto impreso
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Editorial:
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Facultad de Ciencias Económicas y Empresariales. Instituto Complutense de Análisis Económico (ICAE), 2019
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Estadística: Optimización matemática
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Materia = Ciencias Sociales: Economía: Economía pública
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Tipo = Documento de trabajo o Informe técnico
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Resumen:
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This paper develops an optimization model for selecting a large subsample that improves the representativeness of a simple random sample previously obtained from a population larger than the population of interest. The problem formulation involves convex mixed-integer nonlinear programming (convex MINLP) and is therefore NP-hard. However, the solution is found by maximizing the “constant of proportionality” – in other words, maximizing the size of the subsample taken from a stratified random sample with proportional allocation – and restricting it to a p-value high enough to achieve a good fit to the population of interest using Pearson’s chi-square goodness-of-fit test. The beauty of the model is that it gives the user the freedom to choose between a larger subsample with a poorer fit and a smaller subsample with a better fit. The paper also applies the model to a real case: The Continuous Sample of Working Lives (CSWL), which is a set of anonymized microdata containing information on individuals from Spanish Social Security records. Several waves (2005-2017) are first examined without using the model and the conclusion is that they are not representative of the target population, which in this case is people receiving a pension income. The model is then applied and the results prove that it is possible to obtain a large dataset from the CSWL that (far) better represents the pensioner population for each of the waves analysed.
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En línea:
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https://eprints.ucm.es/id/eprint/55423/1/1920.pdf
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