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.

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 p1. 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 216, k 2 p 316, 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.