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On $\alpha$-Resolvability and Affine $\alpha$-Resolvability of Incomplete Block Designs

S. M. Shah

The Annals of Statistics · 1978 · Volume 6 · Issue 2

DOI: 10.1214/aos/1176344138

Abstract

A necessary condition for the $\alpha$-resolvability of an incomplete block design is obtained. Further, a necessary and sufficient condition for an $\alpha$-resolvable incomplete block design to be affine $\alpha$-resolvable is obtained in terms of the largest characteristic root of $NN'$ other than $rk$, where $N$ is the incidence matrix of the design.

Keywords

$\alpha$-resolvability, 62K10, affine $\alpha$-resolvability, incomplete block design

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