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

摘要

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.