Parameter redundancy with covariates

We show how to determine the parameter redundancy status of a model with covariates from that of the same model without covariates, thereby simplifying the calculation considerably. A matrix decomposition is necessary to ensure that the symbolic computation computer programmes return correct results...

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Veröffentlicht in:	Biometrika 2010-12, Vol.97 (4), p.1002-1005
Hauptverfasser:	Cole, Diana J., Morgan, Byron J. T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Applications Biology, psychology, social sciences Bird banding Computer algebra Computer algebra systems Computer programming Computers Decomposition Exact sciences and technology General topics Identifiability Latent class model Maple Mark-recovery model Mathematical independent variables Mathematical models Mathematics Matrices Matrix Miscellanea Parameter estimation Parametric models Partial differential equations Probability and statistics Sciences and techniques of general use Statistics Studies Symbolic computation Symbolic programming Variance analysis Wild birds
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Beschreibung
Zusammenfassung:	We show how to determine the parameter redundancy status of a model with covariates from that of the same model without covariates, thereby simplifying the calculation considerably. A matrix decomposition is necessary to ensure that the symbolic computation computer programmes return correct results. The paper is illustrated by mark-recovery and latent-class models, with associated Maple code.
ISSN:	0006-3444 1464-3510 1464-3510 0006-3444
DOI:	10.1093/biomet/asq041