Sankhya: The Indian Journal of Statistics

1998, Volume 60, Series B, Pt. 3, 488--495

ON THE CONSTRUCTION OF EFFICIENT EQUINEIGHBOURED INCOMPLETE BLOCK DESIGNS HAVING BLOCK SIZE 3

By

MIKE JACROUX Washington State University, Pullman

SUMMARY. In this paper, we consider the problem of constructing equineighboured incomplete block designs having blocks of size 3 which are efficient under standard intrablock analysis. Such designs are also efficient when experimental units adjacent within blocks are correlated or when least squares nearest neighbour (NN) analysis is used to analyze data from an experiment because of suspected but unknown smooth trends within blocks. The methods of construction given are cyclic and partially cyclic in nature.

AMS (1991) subject classification.Primary 62K10; secondary 05B05.

Key words and phrases. Equineighboured nearly balanced incomplete block design, nearest neighbour analysis, correlated observations, initial block.

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