A variance estimator for systematic sampling from a deliberately ordered population
Berger, Yves G. (2005) A variance estimator for systematic sampling from a deliberately ordered population. Communications in Statistics: Theory and Methods, 34, (7), 1533-1541. (doi:10.1081/STA-200063383).
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The systematic sampling (SYS) design (Madow and Madow, 1944) is widely used by statistical offices due to its simplicity and efficiency (e.g., Iachan, 1982). But it suffers from a serious defect, namely, that it is impossible to unbiasedly estimate the sampling variance (Iachan, 1982) and usual variance estimators (Yates and Grundy, 1953) are inadequate and can overestimate the variance significantly (Särndal et al., 1992). We propose a novel variance estimator which is less biased and that can be implemented with any given population order. We will justify this estimator theoretically and with a Monte Carlo simulation study.
|Digital Object Identifier (DOI):||doi:10.1081/STA-200063383|
|Keywords:||inclusion probabilities, π-estimator, unequal probability sampling, weighted least squares|
|Subjects:||H Social Sciences > HA Statistics|
|Divisions:||University Structure - Pre August 2011 > School of Social Sciences > Social Statistics
|Date Deposited:||16 May 2006|
|Last Modified:||06 Aug 2015 02:31|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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