Title
On a family of interval estimators of effective doses
Abstract
The asymptotic confidence (delta) intervals and intervals based upon the use of Fieller’s theorem for effective doses were compared with two new approaches by Huang et al. (J. Statist. Comput. Simulation 72 (2002) 565) in a simulation study for a logistic dose–response curve. It was shown that these two novel approaches perform well to achieve a compromise between the conservative tendency of the Fieller interval and the liberalism often exhibited by the delta interval. Here attention is focused on the analytic comparison of the Fieller and delta intervals with one of two new methods, termed λ-interval, which includes the Fieller and delta intervals as special cases. The properties of this family of interval estimation methods are investigated, an analytical comparison of the various methods is provided and Sitter and Wu’s (J. Amer. Statist. Assoc. 88 (1993) 1021) analysis for explaining the difference in performance of the delta and Fieller intervals is extended to include the λ-interval based on simulation studies.
Year
DOI
Venue
2005
10.1016/j.csda.2004.05.004
Computational Statistics & Data Analysis
Keywords
Field
DocType
Binary data,Effective doses,Interval estimators,Logistic model
Econometrics,Interval estimation,Statistical simulation,Binary data,Statistics,Confidence interval,Logistic regression,Mathematics,Estimator
Journal
Volume
Issue
ISSN
49
1
0167-9473
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
Yangxin Huang1124.12