A Note on a Criterion for a Block Design to be X -1 Balanced

Abstract

An easytoverify criterion is proposed for a not necessarily connected block design to be X^-1balanced and its connection to the existing criteria is brought out. An example of a disconnected PBIBD is given which is X^-1balanced for a family of matrices X that includes a constant multiple' of identity matrix so that the PBIBD happens to be variance balanced.

AMS (1990) Subject Classification: 62 K 10

Keywords

Incidence matrix connectedness variance balanced efficiency balanced generalized efficiency balanced block designs partially balanced block design

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A Note on a Criterion for a Block Design to be X -1 ­Balanced

Abstract

Keywords

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A Note on a Criterion for a Block Design to be X -1 Balanced