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Activity Number:
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195
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Type:
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Contributed
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Date/Time:
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Monday, August 7, 2006 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Survey Research Methods
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| Abstract - #306051 |
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Title:
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Properties and Modifications of a Probability Proportional to Size Sampling Procedure
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Author(s):
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Lawrence R. Ernst*+
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Companies:
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Bureau of Labor Statistics
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Address:
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2 Massachusettes Ave., NE, Washington, DC, 20212-0001,
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Keywords:
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PPS sampling ; unbiased estimators of variance ; sample expansion ;
Essen's method
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Abstract:
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There are numerous procedures for selecting a sample PPS without replacement. Brewer and Hanif (1983) discuss the properties of 50 such procedures. One of the more interesting of these procedures originally appeared in Jessen (1969). This procedure possesses several desirable properties including: relative simplicity of sample selection, fixed sample size of any desired size, selection strictly PPS without replacement, unbiased estimators of variance, and simple calculation of joint inclusion probabilities. In this paper we study possible modifications of Jessen's procedure to obtain other desirable properties such as allowing for sample expansion with the expanded sample remaining PPS without replacement and adjustment of joint selection probabilities in order to improve the stability of the Yates-Grundy variance estimator and to exclude the possibility of negative variance estimates.
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