# Publications and Preprints

Block designs for symmetric parallel line assays with block size odd
by
Feng-Shun Chai, Ashish Das and Aloke Dey
In a parallel line assay, there are three treatment contrasts of major importance. Block designs allowing the estimability of all the three contrasts free from block effects, called $L$-designs, necessarily have the block sizes even. For odd block sizes, we provide here a class of highly efficient designs, called nearly $L$-designs. These nearly $L$-designs have been constructed by establishing a link with linear and nearly linear trend-free designs.

isid/ms/2002/24 [fulltext]