A note on the effect of auxiliary information on the variance of cluster sampling
A note on the effect of auxiliary information on the variance of cluster sampling
A model-based synthesis is presented for a number of well-known results concerning the design effect of cluster sampling. This helps to yield a simpler perspective, making the design-based expressions more transparent. In particular, it is shown that the use of auxiliary information removes the extra variance that is due to the variation in the cluster sizes. Moreover, it can reduce the loss of efficiency to the extent it reduces the conditional intra-cluster correlation given the covariates. The design effect then depends on the remaining conditional intra-cluster correlation and an average cluster size.
397-404
Hagesæther, Nina
019f4594-2626-4ac6-baaa-4daca6d20cb0
Zhang, Li-Chun
a5d48518-7f71-4ed9-bdcb-6585c2da3649
2009
Hagesæther, Nina
019f4594-2626-4ac6-baaa-4daca6d20cb0
Zhang, Li-Chun
a5d48518-7f71-4ed9-bdcb-6585c2da3649
Hagesæther, Nina and Zhang, Li-Chun
(2009)
A note on the effect of auxiliary information on the variance of cluster sampling.
Journal of Official Statistics, 25 (3), .
Abstract
A model-based synthesis is presented for a number of well-known results concerning the design effect of cluster sampling. This helps to yield a simpler perspective, making the design-based expressions more transparent. In particular, it is shown that the use of auxiliary information removes the extra variance that is due to the variation in the cluster sizes. Moreover, it can reduce the loss of efficiency to the extent it reduces the conditional intra-cluster correlation given the covariates. The design effect then depends on the remaining conditional intra-cluster correlation and an average cluster size.
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Published date: 2009
Organisations:
Statistical Sciences Research Institute
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Local EPrints ID: 345171
URI: http://eprints.soton.ac.uk/id/eprint/345171
ISSN: 0282-423X
PURE UUID: b5d8cf7e-5e7d-48fb-a567-488df58d841c
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Date deposited: 12 Nov 2012 10:20
Last modified: 23 Feb 2023 02:59
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Author:
Nina Hagesæther
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