A-optimal connected block designs with nearly minimal number of observations

✍ Scribed by Olaf Krafft; Martin Schaefer

• Book ID: 104340432
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 478 KB
• Volume: 65
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(97)00054-2

✦ Synopsis

A-optimal block designs are determined in the class of connected block designs with constant block size under the restriction that the number of observations is v + b where ~, is the number of treatments and b is the number of blocks. Graph-theoretic methods are employed to derive the results. In particular, the Moore-Penrose inverse of the :6-matrix is obtained in terms nf a distance matrix of a graph associated with the design.