Incomplete Block Designs for Comparing Treatments with a Control (VI): Conjectured Minimal Complete Class of Generator Designs for p = 5, k = 4 and p = 6, k = 4.
Abstract
The present paper continues the study of balanced treatment incomplete block (BTIB) designs initiated previously. This class of designs was proposed for the problem of comparing simultaneously p > 2 test treatments with a control treatment when the observations are taken in blocks of common size k < p+1. In previous reports we gave lists of generator designs, the conjectured minimal complete class of generator designs, a catalog of admissible designs, and tables of optimal designs for p = 2(1)6, k = 2; p = 3(1)6, k = 3; and p = 4, k = 4. This present paper gives our conjectured minimal complete class of generator designs for p = 5, k = 4 and p = 6, k = 4 based on a generalized notion of C-inadmissibility. At this time we have made no further computations based on these classes of designs. Interested researchers are encouraged to supplement these classes if they are not already minimal complete.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1980
- Accession Number
- ADA088308
Entities
People
- Ajit C. Tamhane
- Robert E. Bechhofer
- Stephen W. Mykytyn
Organizations
- Cornell University College of Engineering