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Title: Estimation and confidence regions for multi-dimensional effective dose
Authors: Li, J. 
Nordheim, E.V.
Zhang, C.
Lehner, C.E.
Keywords: Binary logistic regression
Decompression sickness
Effective dose
Inverse inference
Simultaneous confidence regions
Issue Date: Feb-2008
Citation: Li, J., Nordheim, E.V., Zhang, C., Lehner, C.E. (2008-02). Estimation and confidence regions for multi-dimensional effective dose. Biometrical Journal 50 (1) : 110-122. ScholarBank@NUS Repository.
Abstract: The problem of finding confidence regions for multiple predictor variables corresponding to given expected values of a response variable has not been adequately resolved. Motivated by an example from a study on hyperbaric exposure using a logistic regression model, we develop a conceptual framework for the estimation of the multi-dimensional effective dose for binary outcomes. The k-dimensional effective dose can be determined by conditioning on k - 1 components and solving for the last component as a conditional univariate effective dose. We consider various approaches for calculating confidence regions for the multi-dimensional effective dose and compare them via a simulation study for a range of possible designs. We analyze data related to decompression sickness to illustrate our procedure. Our results provide a practical approach to finding confidence regions for predictor variables for a given response value. © 2008 Wiley-VCH Verlag GmbH & Co. KGaA.
Source Title: Biometrical Journal
ISSN: 03233847
DOI: 10.1002/bimj.200710376
Appears in Collections:Staff Publications

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