Optimal designs for the Michaelis Menten model with correlated observations

dc.contributor.authorDette, Holger
dc.contributor.authorKunert, Joachim
dc.date.accessioned2012-01-30T10:15:25Z
dc.date.available2012-01-30T10:15:25Z
dc.date.issued2012-01-30
dc.description.abstractIn 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.en
dc.identifier.urihttp://hdl.handle.net/2003/29294
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-3372
dc.language.isoende
dc.relation.ispartofseriesDiscussion Paper / SFB 823;04/2012en
dc.subjectautoregressive errorsen
dc.subjectexact designsen
dc.subjectlocally D-optimal designsen
dc.subjectMichaelis Menten modelen
dc.subjectstandardized maximin optimal designen
dc.subject.ddc310
dc.subject.ddc330
dc.subject.ddc620
dc.titleOptimal designs for the Michaelis Menten model with correlated observationsen
dc.typeTextde
dc.type.publicationtypeworkingPaperde
dcterms.accessRightsopen access

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