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Bootstrap Confidence Intervals for Effective Doses in the Probit Model for Dose-Response Data

✍ Scribed by Hans-Georg Müller; Jane-Ling Wang

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
791 KB
Volume
32
Category
Article
ISSN
0323-3847

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✦ Synopsis

Abstract

Parametric bootstrap methods for the construction of confidence intervals for the effective dose at level α(EDα) under the probit model for the dose‐response relationship are investigated. The standard maximum likelihood confidence intervals and percentile, centered percentile, studentized, bias corrected and better bias corrected bootstrap methods are compared in a simulation with 1000 Monte Carlo runs and 1000 bootstrap samples. Among the bootstrap methods, studentized and centered percentile methods are found to behave unfavorably with respect to observed coverage probability, whereas the bias corrected and better bias corrected bootstrap sometimes improve on the maximum likelihood method. The maximum likelihood method yielded very mixed results, but in our simulation none of the currently available bootstrap methods improved uniformly on this standard method. The methods are illustrated by an application to a bioassay.

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