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Appears in Collections:Faculty of Health Sciences and Sport Journal Articles
Peer Review Status: Refereed
Title: On the role of weights rounding in applications of resampling based on pseudopopulations
Author(s): Andreis, Federico
Conti, Pier Luigi
Mecatti, Fulvia
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Keywords: bootstrap
finite populations
probability proportional to size
variance estimation
π‐ps complex designs
Issue Date: 1-May-2019
Citation: Andreis F, Conti PL & Mecatti F (2019) On the role of weights rounding in applications of resampling based on pseudopopulations. Statistica Neerlandica, 73 (2), pp. 160-175.
Abstract: Resampling methods are widely studied and increasingly employed in applied research and practice. When dealing with complex sampling designs, common resampling techniques require adjusting noninteger sampling weights in order to construct the so called "pseudopopulation" in order to perform the actual resampling. The practice of rounding, however, has been empirically shown to be harmful under general designs. In this paper, we present asymptotic results concerning, in particular, the practice of rounding resampling weights to the nearest integer, an approach that is commonly adopted by virtue of its reduced computational burden, as opposed to randomization‐based alternatives. We prove that such approach leads to nonconsistent estimation of the distribution function of the survey variable; we provide empirical evidence of the practical consequences of the nonconsistency when the point estimation of the variance of complex estimators is of interest.
DOI Link: 10.1111/stan.12145
Rights: This item has been embargoed for a period. During the embargo please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study. This is the peer reviewed version of the following article: Andreis, F, Conti, PL, Mecatti, F. On the role of weights rounding in applications of resampling based on pseudopopulations. Statistica Neerlandica. 2019; 73: 160-175, which has been published in final form at This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for self-archiving.

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