Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1150216 | Journal of Statistical Planning and Inference | 2007 | 14 Pages |
Abstract
The A-optimality problem is solved for three treatments in a row-column layout. Depending on the numbers of rows and columns, the requirements for optimality can be decidedly counterintuitive: replication numbers need not be as equal as possible, and trace of the information matrix need not be maximal. General rules for comparing 3Ã3 information matrices for their A-behavior are also developed, and the A-optimality problem is also solved for three treatments in simple block designs.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J.P. Morgan, Valentin Parvu,