In search of a variance estimator for systematic sampling. Issue 4 (19th May 2019)

• Record Type: Journal Article
• Authors: Magnussen, Steen; Fehrmann, Lutz
• Is Part Of: Scandinavian journal of forest research. Volume 34:Issue 4(2019)
• Page Start: 300
• Page End: 312
• Publication Date: 2019-05-19
• Subjects: Simple random sampling -- random tessellated stratified estimators -- spatial autocorrelation -- first-order autoregression -- Voronoi tessellation; Forests and forestry -- Scandinavia -- Periodicals; Forests and forestry -- Periodicals; Forests and forestry -- Research -- Scandinavia -- Periodicals; 634.90948
• DOI: 10.1080/02827581.2019.1599063
• Languages: English
• ISSNs: 0282-7581

Abstract

ABSTRACT: Seven variance estimators to be used under systematic sampling are evaluated in a simulation study with 270 artificial spatial populations with different levels and structure of autocorrelation. In settings without an auxiliary variable a proposed new spatial resampling estimator RHO is recommended. In setting with an auxiliary variable, an estimator based on post-stratification (PST), and one with a correction for spatial autocorrelation (DOR), generated estimates with less bias than the SRS estimator in the majority of studied settings. Only in populations with either a near zero autocorrelation at the interval of sampling, or a very strong correlation between the target and the auxiliary variable did the otherwise conservative SRS estimator perform as well as the alternatives.