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Dose Response Signal Detection under Model Uncertainty
Dette, Holger1; Titoff, Stefanie2; Volgushev, Stanislav1; Bretz, Frank3,4
刊名BIOMETRICS
2015-12
卷号71期号:4页码:996-1008
关键词Contrast tests Dose response studies Likelihood ratio test Model identification Nonlinear regression
ISSN号0006-341X
DOI10.1111/biom.12357
英文摘要We investigate likelihood ratio contrast tests for dose response signal detection under model uncertainty, when several competing regression models are available to describe the dose response relationship. The proposed approach uses the complete structure of the regression models, but does not require knowledge of the parameters of the competing models. Standard likelihood ratio test theory is applicable in linear models as well as in nonlinear regression models with identifiable parameters. However, for many commonly used nonlinear dose response models the regression parameters are not identifiable under the null hypothesis of no dose response and standard arguments cannot be used to obtain critical values. We thus derive the asymptotic distribution of likelihood ratio contrast tests in regression models with a lack of identifiability and use this result to simulate the quantiles based on Gaussian processes. The new method is illustrated with a real data example and compared to existing procedures using theoretical investigations as well as simulations.
WOS研究方向Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology ; Mathematics
语种英语
出版者WILEY-BLACKWELL
WOS记录号WOS:000368187300016
内容类型期刊论文
源URL[http://10.2.47.112/handle/2XS4QKH4/1415]  
专题上海财经大学
通讯作者Dette, Holger
作者单位1.Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany;
2.Continentale Krankenversicherung aG, D-44139 Dortmund, Germany;
3.Novartis Pharma AG, CH-4002 Basel, Switzerland;
4.Shanghai Univ Finance & Econ, Shanghai, Peoples R China
推荐引用方式
GB/T 7714
Dette, Holger,Titoff, Stefanie,Volgushev, Stanislav,et al. Dose Response Signal Detection under Model Uncertainty[J]. BIOMETRICS,2015,71(4):996-1008.
APA Dette, Holger,Titoff, Stefanie,Volgushev, Stanislav,&Bretz, Frank.(2015).Dose Response Signal Detection under Model Uncertainty.BIOMETRICS,71(4),996-1008.
MLA Dette, Holger,et al."Dose Response Signal Detection under Model Uncertainty".BIOMETRICS 71.4(2015):996-1008.
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