SOME ASPECTS OF CONSTRAINED RANDOMIZATION
Abstract
The definition of constrained sets of plans and the problems to be considered are given. A correspondence between constrained sets of plans and RT x RT square arrays and a correspondence between constrained sets of plans and resolvable balanced incomplete block designs are given. These correspondences led to the enumeration of many constrained designs. Some relationships between the variance of the error sum of squares under complete randomization and under constrained randomization are given. The power of the randomization test under constrained randomization was considered for nearly linearly, randomly, and semi-randomly distributed basal yields. The empirical results exhibit a tendency of the sensitivity of the test for the detection of treatment differences to increase with decreases in the variance of the error sum of squares of the constrained sets.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1963
- Accession Number
- AD0402644
Entities
People
- Gary J. Sutter
- George Zyskind
- Oscar Kempthorne
Organizations
- Iowa State University