Authors: | Dette, Holger Kunert, Joachim |
Title: | Optimal designs for the Michaelis Menten model with correlated observations |
Language (ISO): | en |
Abstract: | In this paper we investigate the problem of designing experiments for weighted least squares analysis in the Michaelis Menten model. We study the structure of exact D-optimal designs in a model with an autoregressive error structure. Explicit results for locally D-optimal are derived for the case where 2 observations can be taken per subject. Additionally standardized maximin D-optimal designs are obtained in this case. The results illustrate the enormous difficulties to find exact optimal designs explicitly for nonlinear regression models with correlated observations. |
Subject Headings: | autoregressive errors exact designs locally D-optimal designs Michaelis Menten model standardized maximin optimal design |
URI: | http://hdl.handle.net/2003/29294 http://dx.doi.org/10.17877/DE290R-3372 |
Issue Date: | 2012-01-30 |
Appears in Collections: | Sonderforschungsbereich (SFB) 823 |
Files in This Item:
File | Description | Size | Format | |
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DP_0412_SFB823_Dette_Kunert.pdf | DNB | 298.48 kB | Adobe PDF | View/Open |
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