Simultaneous confidence sets for several effective doses

被引：3

作者：

Tompsett, Daniel M. ^{[1
]}

Biedermann, Stefanie ^{[2
]}

Liu, Wei ^{[2
]}

机构：

[1] Cambridge Inst Publ Hlth, MRC, Biostat Unit, Forvie Site,Robinson Way,Cambridge Biomed Campus, Cambridge CB2 0SR, England

[2] Univ Southampton, Math Sci, Highfield Campus,Univ Rd, Southampton SO17 1BJ, Hants, England

来源：

BIOMETRICAL JOURNAL | 2018年 / 60卷 / 04期

关键词：

effective dose; inverse dose response curve; logistic regression; simultaneous confidence band; simultaneous inference; QUANTAL RESPONSE DATA; RISK-ESTIMATION; BANDS; INFERENCES; REGRESSION; REGIONS;

D O I：

10.1002/bimj.201700161

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Construction of simultaneous confidence sets for several effective doses currently relies on inverting the Scheffe type simultaneous confidence band, which is known to be conservative. We develop novel methodology to make the simultaneous coverage closer to its nominal level, for both two-sided and one-sided simultaneous confidence sets. Our approach is shown to be considerably less conservative than the current method, and is illustrated with an example on modeling the effect of smoking status and serum triglyceride level on the probability of the recurrence of a myocardial infarction.

引用

页码：703 / 720

页数：18

共 22 条

[1] Confidence bands for low-dose risk estimation with quantal response data [J].