A jackknife variance estimator for unistage stratified samples with unequal probabilities
A jackknife variance estimator for unistage stratified samples with unequal probabilities
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.
consistency, design-based inference, finite population correction, sample surveys, smooth function of means, stratification
953-964
Berger, Y.G.
8fd6af5c-31e6-4130-8b53-90910bf2f43b
12 July 2007
Berger, Y.G.
8fd6af5c-31e6-4130-8b53-90910bf2f43b
Berger, Y.G.
(2007)
A jackknife variance estimator for unistage stratified samples with unequal probabilities.
Biometrika, 94 (4), .
(doi:10.1093/biomet/asm072).
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.
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Published date: 12 July 2007
Keywords:
consistency, design-based inference, finite population correction, sample surveys, smooth function of means, stratification
Organisations:
Southampton Statistical Research Inst.
Identifiers
Local EPrints ID: 34543
URI: http://eprints.soton.ac.uk/id/eprint/34543
ISSN: 0006-3444
PURE UUID: c099f411-592e-49c4-b832-9ae1b6afe306
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Date deposited: 18 Jan 2008
Last modified: 16 Mar 2024 03:03
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