2003, Volume 65, Pt. 3, 689--703

Block Designs For Symmetric Parallel Line Assays With Block Size Odd

By

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.

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