Algorithm for determining whether various two-level fractional factorial split-plot row-column designs are non-isomorphic

作者：Stapleton Robert D^*

来源：Journal of Statistical Computation and Simulation, 2010, 80(1-2): 43-59.

DOI：10.1080/00949650802454682

• alias string
• estimation capacity
• factorial design
• subplot
• wholeplot
• row-column design

The confounding and aliasing scheme for fractional factorial split-plot designs with the units within each wholeplot arranged in rows and columns is described and illustrated. Isomorphism for this design type is described, together with a procedure which considers extensions of the concepts of wordlength patterns and letter patterns that can be used to test isomorphism between designs. Using in part this isomorphism testing procedure, a construction algorithm that may be used to obtain a complete set of such non-isomorphic two-level designs is described. Software based on this construction algorithm was used to obtain a complete set of non-isomorphic designs for up to five wholeplot factors, five Subplot factors and up to 64 runs, which is presented as a table of designs. To aid the experimenter in distinguishing between competing designs, the estimation capacity sequence for each design is presented.

• 出版日期2010-2