Resampling methods are widely studied and increasinglyemployed in applied research and practice. When deal-ing with complex sampling designs, common resamplingtechniques require adjusting noninteger sampling weightsin order to construct the so called “pseudopopulation” inorder to perform the actual resampling. The practice ofrounding, however, has been empirically shown to beharmful under general designs. In this paper, we presentasymptotic results concerning, in particular, the practiceof rounding resampling weights to the nearest integer, anapproach that is commonly adopted by virtue of its reducedcomputational burden, as opposed to randomization-basedalternatives. We prove that such approach leads to noncon-sistent estimation of the distribution function of the surveyvariable; we provide empirical evidence of the practicalconsequences of the nonconsistency when the point esti-mation of the variance of complex estimators is of interest

Andreis, F., Conti, P., Mecatti, F. (2019). On the role of weights rounding in applications of resampling based on pseudopopulations. STATISTICA NEERLANDICA, 73(2), 160-175 [10.1111/stan.12145].

On the role of weights rounding in applications of resampling based on pseudopopulations.

Andreis, F
;
Mecatti, F
2019

Abstract

Resampling methods are widely studied and increasinglyemployed in applied research and practice. When deal-ing with complex sampling designs, common resamplingtechniques require adjusting noninteger sampling weightsin order to construct the so called “pseudopopulation” inorder to perform the actual resampling. The practice ofrounding, however, has been empirically shown to beharmful under general designs. In this paper, we presentasymptotic results concerning, in particular, the practiceof rounding resampling weights to the nearest integer, anapproach that is commonly adopted by virtue of its reducedcomputational burden, as opposed to randomization-basedalternatives. We prove that such approach leads to noncon-sistent estimation of the distribution function of the surveyvariable; we provide empirical evidence of the practicalconsequences of the nonconsistency when the point esti-mation of the variance of complex estimators is of interest
Articolo in rivista - Articolo scientifico
bootstrap, finite populations, probability proportional to size, varianceestimation, pi-ps complex designs
English
2019
73
2
160
175
reserved
Andreis, F., Conti, P., Mecatti, F. (2019). On the role of weights rounding in applications of resampling based on pseudopopulations. STATISTICA NEERLANDICA, 73(2), 160-175 [10.1111/stan.12145].
File in questo prodotto:
File Dimensione Formato  
AndreiContiMecatti2019.pdf

Solo gestori archivio

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 469.78 kB
Formato Adobe PDF
469.78 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/199364
Citazioni
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 2
Social impact