A random set approach to confidence regions with applications to the effective dose with combinations of agents.

Abstract:

:The effective dose (ED) is the pharmaceutical dosage required to produce a therapeutic response in a fixed proportion of the patients. When only one drug is considered, the problem is a univariate one and has been well-studied. However, in the multidimensional setting, that is, in the presence of combinations of agents, estimation of the ED becomes more difficult. This study is focused on the plug-in logistic regression estimator of the multidimensional ED. We discuss consistency of such estimators and focus on the problem of simultaneous confidence regions. We develop a bootstrap algorithm to estimate confidence regions for the multidimensional ED. Through simulation, we show that the proposed method gives 95% confidence regions, which have better empirical coverage than the previous method for moderate to large sample sizes. The novel approach is illustrated on a cytotoxicity study on the effect of two toxins in the leukemia cell line HL-60 and a decompression sickness study of the effects of the duration and depth of the dive.

journal_name

Stat Med

journal_title

Statistics in medicine

authors

Jankowski H,Ji X,Stanberry L

doi

10.1002/sim.6226

subject

Has Abstract

pub_date

2014-10-30 00:00:00

pages

4266-78

issue

24

eissn

0277-6715

issn

1097-0258

journal_volume

33

pub_type

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