On the Theory of Connected Designs: Characterization and Optimality,
Abstract
Connectedness is an important property which every block design must possess if it is to provide an unbiased estimator for all elementary treatment contrasts under the usual linear additive model. The authors have classified the family of connected designs into three subclasses: locally connected, globally connected and pseudo-globally connected designs. Basically, a locally connected design is one in which not all the observations participate in the estimation. A globally connected design is one in which all observations participate in the estimation. Finally, a pseudo-globally connected design is a compromise between locally and globally connected designs. Theorems and corollaries are given which characterize the different classes of connected designs. In the discussion on the optimality of connected designs it is shown that there is much to be gained by partitioning the family of connected designs in the above fashion. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1973
- Accession Number
- AD0771601
Entities
People
- A. Hedayat
- J. A. Eccleston
Organizations
- Florida State University