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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), pp. 1533-1541. (doi:10.1081/STA-200063383).

Record type: Article


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.

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Published date: 2005
Keywords: inclusion probabilities, ?-estimator, unequal probability sampling, weighted least squares


Local EPrints ID: 34127
ISSN: 0361-0926
PURE UUID: a7ecd2c3-2a98-474f-9896-c62e3e3d0c77

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Date deposited: 16 May 2006
Last modified: 17 Jul 2017 15:51

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