๐”– Bobbio Scriptorium
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On the E-Optimality of Block Designs with Unequal Block Sizes

โœ Scribed by Dr. Henryk Brzeskwiniewicz

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
192 KB
Volume
31
Category
Article
ISSN
0323-3847

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โœฆ Synopsis

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 designs is given. Furthermore coefficient ed has been introduced which permits to assess how close the block design is from the optimal one.

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