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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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