Sankhya: The Indian Journal of Statistics

1997, Volume 59, Series B, Pt. 2, 156-163

FURTHER CONSTRUCTIONS FOR ORTHOGONAL SETS OF BALANCED INCOMPLETE BLOCK DESIGNS WITH NESTED ROWS AND COLUMNS

By

NIZAM UDDIN, Tennessee Technological University, Cookeville

And

JOHN P. MORGAN, Old Dominion University, Norfolk.

SUMMARY. This paper presents methods for constructing orthogonal sets of balanced incomplete block designs with nested rows and columns. Included is an infinite series of orthogonal pairs of such designs in blocks of size $2 \times 2$ . The designs may be used as main effects plans, or for multistage experimentation..

AMS (1991) subject classification. 62K10, 05B05, 62K99, 62K15, 62K05

Key words and phrases. BIBRC, main effects plans, multistage experiments, nested row column designs, orthogonal designs.

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