Sufficient conditions for orthogonal designs in mixed linear models

✍ Scribed by Dawn M. VanLeeuwen; Justus F. Seely; David S. Birkes

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 149 KB
• Volume: 73
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(98)00071-8

✦ Synopsis

This paper revisits the concepts of orthogonal block structure and orthogonal design in mixed linear models. The primary tool used in investigating these concepts is that of a commutative quadratic subspace. The idea of an error orthogonal design is introduced. These designs are less restrictive than orthogonal designs, but retain almost all of the nice properties. Easy-to-check conditions are given that insure a model has an orthogonal or error orthogonal design. The results given are most useful for those mixed models with a nested covariance structure or those whose covariance structure comes from random main e ects.