Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1147858 | Journal of Statistical Planning and Inference | 2010 | 8 Pages |
Abstract
Minimal square designs are proposed and compared. All treatment contrasts in both designs are estimable under the existence of two-way heterogeneity. That is, all designs are treatment-connected. Extended treatment-connected designs are generated by adding one column to minimal treatment-connected square designs. The extended designs not only have lower variances in paired comparisons of unreplicated treatments but also provide necessary degrees of freedom to estimate the process error. (M,S)-optimal extended designs are constructed systematically. Both square designs and their extensions have large numbers of unreplicated treatments.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Theophilus Ogunyemi, Xianggui Qu,