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E-Optimality for Regression Designs of Supplementary Experiments

โœ Scribed by King Leung Chow


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
199 KB
Volume
214
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


For the regression model whose linear functional of unknown parameters is estimable, the existence of an E-optimal design for supplementary experiments on the set of all design matrices whose Euclid norm does not exceed a given constant is obtained. The E-optimal designs for supplementary experiments are found in some reasonable regions by spectral decomposition of a matrix. Also, the relationship between the E-optimal design for supplementary experiments and the E-optimal design is obtained. A simple numerical example is given to illustrate the procedure for finding the E-optimal design matrices of supplementary experiments.


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