A jackknife variance estimator for unistage stratified samples with unequal probabilities


Berger, Yves G. (2007) A jackknife variance estimator for unistage stratified samples with unequal probabilities Biometrika, 94, (4), pp. 953-964. (doi:10.1093/biomet/asm072).

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Description/Abstract

Existing jackknife variance estimators used with sample surveys can seriously overestimate the true variance under unistage stratified sampling without replacement with unequal probabilities. A novel jackknife variance estimator is proposed which is as numerically simple as existing jackknife variance estimators. Under certain regularity conditions, the proposed variance estimator is consistent under stratified sampling without replacement with unequal probabilities. The high entropy regularity condition necessary for consistency is shown to hold for the Rao–Sampford design. An empirical study of three unequal probability sampling designs supports our findings.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1093/biomet/asm072
ISSNs: 0006-3444 (print)
Subjects:
ePrint ID: 34543
Date :
Date Event
2007Published
Date Deposited: 18 Jan 2008
Last Modified: 16 Apr 2017 22:12
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/34543

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