On Estimation for Monotone Dose—Response Curves
作者:
Chu-InCharles Lee,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1996)
卷期:
Volume 91,
issue 435
页码: 1110-1119
ISSN:0162-1459
年代: 1996
DOI:10.1080/01621459.1996.10476981
出版商: Taylor & Francis Group
关键词: Generalized studentized maximum modulus;Isotonic regression;Maximum likelihood estimate;Simultaneous confidence band;Studentized maximum modulus
数据来源: Taylor
摘要:
Estimating monotone dose—response curves with independent, normal errors has been studied in detail in the literature. A simple procedure using a generalization of the studentized maximum modulus technique is proposed for constructing confidence bands for monotone regression functions. This procedure is shown to compare well with its predecessors. The center of this smooth and efficient confidence band is then used to estimate a smooth monotone regression function. Its pointwise mean squared errors compare favorably with the maximum likelihood estimate, a weighted average of the isotonic regression and the least squares line, and the rank-transformed regression. A numerical example of a binding inhibition assay is included to illustrate the proposed interval and point estimation procedures.
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