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On Properties and Construction of GEGD ⁄3 n -1 PBIB Designs

Calcutta Statistical Association Bulletin

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First published online March, 2002

On Properties and Construction of GEGD ⁄3 n -1 PBIB Designs

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Volume 52, Issue 1-4

https://doi.org/10.1177/0008068320020514

Abstract

A definition of subfactor balance is given and it is proved that a necessary and sufficient condition for a design to have subfactor balance is that it is a GEGD⁄3 ⁿ -1 PBIB design. Some properties and methods of construction are also studied.

Keywords

Orthogonal factorial structure (O.F.S.)EGD Designs balancing subfactor balance Uniqueness of association schemes Cyclic Designs.

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