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), 953-964. (doi:10.1093/biomet/asm072).

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Original Publication URL: http://dx.doi.org/10.1093/biomet/asm072

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
ISSNs: 0006-3444 (print)
Related URLs:
Subjects: Q Science > QA Mathematics
H Social Sciences > HA Statistics
Divisions: University Structure - Pre August 2011 > School of Social Sciences > Social Statistics
ePrint ID: 34543
Date Deposited: 18 Jan 2008
Last Modified: 27 Mar 2014 18:21
Contact Email Address: Y.G.Berger@soton.ac.uk
URI: http://eprints.soton.ac.uk/id/eprint/34543

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