Tight 4-factor orthogonal main effect plans

✍ Scribed by Robert Gallant; Charles J. Colbourn

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 495 KB
• Volume: 184
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/s0012-365x(96)00075-1

✦ Synopsis

Our main result is a determination of those parameter sets for which a tight OMEP with four rows exists. These are used to characterize those n for which an sl × s2 x s3 × s4//n OMEP exists. The main application of this is a method for determining the minimal n for which an s~ x s2 x s3 × s4//n OMEP exists. We use the same techniques to give an algorithm for determining the minimal n for which an sl x s2 × s3 x s4//n OMEP with equal replication exists.

More importantly, the methods used here can be applied to OMEPs on any number of factors.