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<< JRScience Home     Volume 18 No.3  July, 2007    << Back to Volume Home

CONSTRUCTION OF BLOCK DESIGNS WITH NESTED ROWS AND COLUMNS  

L. Rasul and I. Iqbal
Department of Statistics, B.Z. University, Multan, Pakistan.

Abstract:

In row-column design the experimental units are grouped in two directions. These blocking may represented a further blocking factor or provide replications of the basic experimental designs. Incomplete block designs with nested rows and columns are designs for v treatments in s block of size k = pq < v. We describe a general method of constructing such designs using a set of cyclic shifts. This method is used to construct efficient designs. The majority of the designs given is new and extended previously published designs.

Keywords: Cyclic shift, fractional designs, incomplete block designs, lattice square nested row-column designs.