Introduce a Necessary Method for Rrecognize Non-Isomorphic Designs

Two designs, with N runs and k factors all with two levels are said to be isomorphic or equivalent if one is obtained from another by permuting rows, columns or/and changing the levels of one or more factors. When N and k increase the matter of isomorphic recognition of two designs will be complicated. Therefore it is essential to apply needed conditions which are able to recognize and separate non-isomorphic designs. It should be done in the least possible time. Majority of needed existed conditions in the literature review can’t meet the two objectives, maximum separation in minimum span, at the same time. In this paper, a new method has been used to present non-equivalent. This new method has been designed abased on choice and comparisons of one or some rows of design matrix. This new method hopefully has higher ability to recognize non-equivalence. Besides, the new method has lower calculation and therefore is able to determine non-equivalence of two designs.