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Published in:
On Applying Optimal Design of Experiments when Functional Observations Occur Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Optimum Experiments with Sets of Treatment Combinations

Author : Anthony C. Atkinson

Published in: mODa 11 - Advances in Model-Oriented Design and Analysis

Publisher: Springer International Publishing

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Abstract

Response surface designs are investigated in which points in the design region corresponds to single observations at each of s distinct settings of the explanatory variables. An extension of the “General Equivalence Theorem” for D-optimum designs is provided for experiments with such sets of treatment combinations. The motivation was an experiment in deep-brain therapy in which each patient receives a set of eight distinct treatment combinations and provides a response to each. The experimental region contains sixteen different sets of eight treatments.

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previous chapter Optimal Designs for Implicit Models
next chapter Design Keys for Multiphase Experiments
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Metadata
Title
Optimum Experiments with Sets of Treatment Combinations
Author
Anthony C. Atkinson
Copyright Year
2016
Book
mODa 11 - Advances in Model-Oriented Design and Analysis

Print ISBN: 978-3-319-31264-4

Electronic ISBN: 978-3-319-31266-8

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-31266-8_3

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