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 |
DOI | 10.1111/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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