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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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Improving the representativeness of a simple random sample: an optimization model and its application to the continuous sample of working lives

dc.contributor.author	Núñez Antón, Vicente
dc.contributor.author	Pérez-Salamero González, Juan Manuel
dc.contributor.author	Regúlez Castillo, Marta
dc.contributor.author	Vidal Meliá, Carlos
dc.date.accessioned	2022-05-04T08:05:55Z
dc.date.available	2022-05-05T04:45:06Z
dc.date.issued	2020	es_ES
dc.identifier.citation	Núñez-Antón V, Pérez-Salamero González JM, Regúlez-Castillo M, Vidal-Meliá C. Improving the Representativeness of a Simple Random Sample: An Optimization Model and Its Application to the Continuous Sample of Working Lives. Mathematics. 2020; 8(8):1225.	es_ES
dc.identifier.uri	https://hdl.handle.net/10550/82554
dc.description.abstract	This paper proposes an optimization model for selecting a larger 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 size of the subsample taken from a stratified random sample with proportional allocation and restricting it to a p-value large enough to achieve a good fit to the population of interest using Pearson’s chi-square goodness-of-fit test. The paper also applies the model to the Continuous Sample of Working Lives (CSWL), which is a set of anonymized microdata containing information on individuals from Spanish Social Security records and the results prove that it is possible to obtain a larger subsample from the CSWL that (far) better represents the pensioner population for each of the waves analyzed.	es_ES
dc.language.iso	en	es_ES
dc.subject	chi-square test	es_ES
dc.subject	continuous sample of working lives	es_ES
dc.subject	optimization	es_ES
dc.subject	p-value	es_ES
dc.subject	subsampling	es_ES
dc.title	Improving the representativeness of a simple random sample: an optimization model and its application to the continuous sample of working lives	es_ES
dc.type	journal article	es_ES
dc.subject.unesco	UNESCO::CIENCIAS ECONÓMICAS	es_ES
dc.identifier.doi	10.3390/math8081225	es_ES
dc.accrualmethod	S	es_ES
dc.embargo.terms	0 days	es_ES