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Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen, Technische Universität Dortmund >
Technical Reports, SFB 475, TU Dortmund >
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http://hdl.handle.net/10419/49357
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| Title: | | A note on nonparametric estimation of the effective dose in quantal bioassay  |
| Authors: | | Dette, Holger Neumeyer, Natalie Pilz, Kay F. |
| Issue Date: | | 2003 |
| Series/Report no.: | | Technical Report // Universität Dortmund, SFB 475 Komplexitätsreduktion in Multivariaten Datenstrukturen 2004,01 |
| Abstract: | | For the common binary response model we propose a direct method for the nonparametric estimation of the effective dose level ED? (0 < ? < 1). The estimator is obtained by the composition of a nonparametric estimate of the quantile response curve and a classical density estimate. The new method yields a simple and reliable monotone estimate of the effective dose level curve ? ? ED? and is appealing to users of conventional smoothing methods as kernel estimators, local polynomials, series estimators or smoothing splines. Moreover it is computationally very efficient, because it does not require a numerical inversion of a monotonized estimate of the quantile dose response curve. We prove asymptotic normality of the new estimate and compare it with an available alternative estimate (based on a monotonized nonparametric estimate of the dose response curve and the calculation of the inverse function) by means of a simulation study. |
| Subjects: | | Binary response model effective dose level nonparametric regression isotonic regression order restricted inference local linear regression |
| Document Type: | | Working Paper |
| Appears in Collections: | | Technical Reports, SFB 475, TU Dortmund
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