RT Report
T1 Improving the representativeness of a simple random sample: an optimization model and its application to the Continuous Sample of Working Lives
A1 Núñez Antón, Vicente
A1 Pérez Salamero González, Juan Manuel
A1 Regúlez Castillo, Marta
A1 Vidal-Meliá, Carlos
AB 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.
PB Facultad de Ciencias Económicas y Empresariales. Instituto Complutense de Análisis Económico (ICAE)
SN 2341-2356
YR 2019
FD 2019
LK https://hdl.handle.net/20.500.14352/17484
UL https://hdl.handle.net/20.500.14352/17484
LA eng
NO Ministerio de Economía y Competitividad (MINECO)/FEDER
NO Gobierno Vasco
DS Docta Complutense
RD 6 abr 2025