2003, Volume 65, Pt. 3, 689--703
Block Designs For Symmetric Parallel Line Assays With Block Size Odd
FENG-SHUN CHAI, Academic Sinica, Taipei, Taiwan
ASHISH DAS and ALOKE DEY, Indian Statistical Institute, Delhi, India
SUMMARY. 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.
AMS (1991) subject classification. 62K10.
Key words and phrases. Linear trend-free designs; parallel line assays; nearly $L$-designs.