On the Construction of Some New Series of PBIB Designs and Some New Series of OA vs of Strength Two

Abstract

ABSTRACT:

A method of construction of PBID designs with three and two associate classes respectively has been presented. The method provides a new class of rectangular designs and some new PBIB designs with two associate classes and is based on Q₂–arrays. A general method of construction of orthogonal arrays of strength two with various symbols in rows through Q₂ arrays has also been developed.

Keywords

Partially Balanced Incomplete Block Designs Rectangular Design Semi Regular Group Divisible Design Latin‐square‐type PBIB Designs Orthogonal Arrays with variable symbols

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