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Variable selection for regression estimation in finite populations

Variable selection for regression estimation in finite populations
Variable selection for regression estimation in finite populations
The selection of auxiliary variables is considered for regression estimation in finite populations under a simple random sampling design. This problem is a basic one for model-based and model-assisted survey sampling approaches and is of practical importance when the number of variables available is large. An approach is developed in which a mean squared error estimator is minimised. This approach is compared to alternative approaches using a fixed set of auxiliary variables, a conventional significance test criterion, a condition number reduction approach and a ridge regression approach. The proposed approach is found to perform well in terms of efficiency. It is noted that the variable selection approach affects the properties of standard variance estimators and thus leads to a problem of variance estimation.
0714-0045
23-32
Nascimento Silva, P.L.D.
90c9a78b-9b6e-4bea-9901-5cc8b86a9e42
Skinner, C.J.
48081d82-c596-436e-8846-c9d0a1bf158d
Nascimento Silva, P.L.D.
90c9a78b-9b6e-4bea-9901-5cc8b86a9e42
Skinner, C.J.
48081d82-c596-436e-8846-c9d0a1bf158d

Nascimento Silva, P.L.D. and Skinner, C.J. (1997) Variable selection for regression estimation in finite populations. Survey Methodology, 23 (1), 23-32.

Record type: Article

Abstract

The selection of auxiliary variables is considered for regression estimation in finite populations under a simple random sampling design. This problem is a basic one for model-based and model-assisted survey sampling approaches and is of practical importance when the number of variables available is large. An approach is developed in which a mean squared error estimator is minimised. This approach is compared to alternative approaches using a fixed set of auxiliary variables, a conventional significance test criterion, a condition number reduction approach and a ridge regression approach. The proposed approach is found to perform well in terms of efficiency. It is noted that the variable selection approach affects the properties of standard variance estimators and thus leads to a problem of variance estimation.

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Published date: 1997

Identifiers

Local EPrints ID: 34673
URI: http://eprints.soton.ac.uk/id/eprint/34673
ISSN: 0714-0045
PURE UUID: e1fcd5c9-2c6c-4928-bc5d-7715a6498717

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Date deposited: 25 Jan 2008
Last modified: 11 Dec 2021 15:25

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Contributors

Author: P.L.D. Nascimento Silva
Author: C.J. Skinner

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