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Cited by 206

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Efficient Sequential Designs with Binary Data

Wu, C. F. Jeff·1985·Journal of the American Statistical Association

Abstract

A class of sequential designs for estimating the percentiles of a quantal response curve is proposed. Its updating rule is based on an efficient summary of all of the data available via a parametric model. The logit-MLE version of the proposed designs can be viewed as a natural analog of the Robbins—Monro procedure in the case of binary data. It is shown to be asymptotically consistent, optimal, and nonparametric via its connection with the latter procedure. For certain choices of initial designs, the proposed method performs very well in a simulation study for sample sizes up to 35. A nonparametric sequential design, via the Spearman—Kärber estimator, for estimating the median is also proposed.

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Metadata

Authors
Wu, C. F. J.
Venue
Journal of the American Statistical Association
Published
1985-12
Volume
80
Issue
392
Pages
974-984
ISSN
  • 0162-1459 (ISSN-L)
  • 1537-274X
OpenAlex
W2102241292
Cited by
206
References
1
FWCI
1.93
Type
journal article
Language
en
Open access
closed

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Wu, C. F. J. (1985). Efficient Sequential Designs with Binary Data. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1985.10478213

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