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Doubly balanced spatial sampling with spreading and restitution of auxiliary totals
Author(s) -
Grafström Anton,
Tillé Yves
Publication year - 2013
Publication title -
environmetrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.68
H-Index - 58
eISSN - 1099-095X
pISSN - 1180-4009
DOI - 10.1002/env.2194
Subject(s) - estimator , sampling (signal processing) , stratified sampling , simple random sample , mathematics , sampling design , statistics , variance (accounting) , spatial analysis , algorithm , computer science , mathematical optimization , population , demography , accounting , filter (signal processing) , sociology , business , computer vision
A new spatial sampling method is proposed in order to achieve a double property of balancing. The sample is spatially balanced or well spread so as to avoid selecting neighbouring units. Moreover, the method also enables to satisfy balancing equations on auxiliary variables available on all the sampling units because the Horvitz–Thompson estimator is almost equal to the population totals for these variables. The method works with any definition of distance in a multidimensional space and supports the use of unequal inclusion probabilities. The algorithm is simple and fast. Examples show that the method succeeds in using more information than the local pivotal method, the cube method and the Generalized Random‐Tessellation Stratified sampling method, and thus performs better. An estimator of the variance for this sampling design is proposed in order to lead to an inference that takes the effect of the sampling design into account. Copyright © 2012 John Wiley & Sons, Ltd.