In this paper an inequality for the smallest positive eigenvalues of the \_C-matrix of a block design are derived. This inequality is a generalization of a result by CONSTANTINE (1982) to the caw of unequal block sizes. On the basis of the above result a certain E-optimality criterium of block desig
E-Optimality for Regression Designs of Supplementary Experiments
โ 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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โฆ 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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