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Estimating from cross-sectional categorical data subject to misclassification and double sampling: moment-based, maximum likelihood and quasi-likelihood approaches

Estimating from cross-sectional categorical data subject to misclassification and double sampling: moment-based, maximum likelihood and quasi-likelihood approaches
Estimating from cross-sectional categorical data subject to misclassification and double sampling: moment-based, maximum likelihood and quasi-likelihood approaches
We discuss alternative approaches for estimating from cross-sectional categorical data in the presence of misclassification. Two parameterisations of the misclassification model are reviewed. The first employs misclassification probabilities and leads tomoment-based inference. The second employs calibration probabilities and leads to maximumlikelihood inference. We show that maximum likelihood estimation can be alternatively performed by employing misclassification probabilities and a missing data specification.
As an alternative to maximum likelihood estimation we propose a quasi-likelihood parameterisation of the misclassification model. In this context an explicit definition of the likelihood function is avoided and a different way of resolving a missing data problem is provided. Variance estimation for the alternative point estimators is considered. The different approaches are illustrated using real data from the UK Labour Force Survey and simulated data.
1173-9126
1-13
Tzavidis, Nikos
431ec55d-c147-466d-9c65-0f377b0c1f6a
Lin, Yan-Xia
fc5178f1-f8b5-4a89-a2b7-35d9f5d2f157
Tzavidis, Nikos
431ec55d-c147-466d-9c65-0f377b0c1f6a
Lin, Yan-Xia
fc5178f1-f8b5-4a89-a2b7-35d9f5d2f157

Tzavidis, Nikos and Lin, Yan-Xia (2004) Estimating from cross-sectional categorical data subject to misclassification and double sampling: moment-based, maximum likelihood and quasi-likelihood approaches. Journal of Applied Mathematics and Decision Sciences, 2006 (42030), 1-13. (doi:10.1155/JAMDS/2006/42030).

Record type: Article

Abstract

We discuss alternative approaches for estimating from cross-sectional categorical data in the presence of misclassification. Two parameterisations of the misclassification model are reviewed. The first employs misclassification probabilities and leads tomoment-based inference. The second employs calibration probabilities and leads to maximumlikelihood inference. We show that maximum likelihood estimation can be alternatively performed by employing misclassification probabilities and a missing data specification.
As an alternative to maximum likelihood estimation we propose a quasi-likelihood parameterisation of the misclassification model. In this context an explicit definition of the likelihood function is avoided and a different way of resolving a missing data problem is provided. Variance estimation for the alternative point estimators is considered. The different approaches are illustrated using real data from the UK Labour Force Survey and simulated data.

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Published date: 2004

Identifiers

Local EPrints ID: 34747
URI: http://eprints.soton.ac.uk/id/eprint/34747
ISSN: 1173-9126
PURE UUID: 76445cc4-2b3a-4c4f-9c4e-fc9b66e671d4
ORCID for Nikos Tzavidis: ORCID iD orcid.org/0000-0002-8413-8095

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Date deposited: 19 May 2006
Last modified: 16 Mar 2024 03:23

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Contributors

Author: Nikos Tzavidis ORCID iD
Author: Yan-Xia Lin

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