Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/105366
Title: Simultaneous confidence intervals for semiparametric logistics regression and confidence regions for the multi-dimensional effective dose
Authors: Li, J. 
Zhang, C.
Doksum, K.A.
Nordheim, E.V.
Keywords: Bootstrap
Local likelihood
Multi-dimensional effective dose
Semiparametric logistic regression model
Simultaneous confidence interval
Issue Date: Apr-2010
Citation: Li, J.,Zhang, C.,Doksum, K.A.,Nordheim, E.V. (2010-04). Simultaneous confidence intervals for semiparametric logistics regression and confidence regions for the multi-dimensional effective dose. Statistica Sinica 20 (2) : 637-659. ScholarBank@NUS Repository.
Abstract: We construct pointwise and simultaneous confidence intervals for the link function in a semiparametric logistic regression model based on the logit link function. Simultaneous confidence intervals are especially important for semiparametirc regression models since they allow inference to be made over the whole predictor space. These intervals are used to construct confidence regions for the multidimensional effective dose - that is, for the set of multivariate covariate values where the probability that the binary response is one is equal to a preassigned value p. We construct methods using inequalities, asymptotics find a semiparametric bootstrap. Simulations and examples are provided to demonstrate the performance and to compare the methods. The bootstrap procedure yields accurate confidence regions for the multi-dimensional effective dose.
Source Title: Statistica Sinica
URI: http://scholarbank.nus.edu.sg/handle/10635/105366
ISSN: 10170405
Appears in Collections:Staff Publications

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