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This UD is a minimum aberration design.
The main idea is to choose a generalized minimum aberration design and then permute its levels.
We observe that a minimum aberration blocking scheme with estimability of order e uniquely corresponds to a minimum aberration design of resolution R= e+1 and vice versa.
Two rules are established to search for a generalized minimum aberration design through its complementary design in a sliced equidistance design.
The minimum aberration criterion has been advocated for ranking foldovers of 2k−p fractional factorial designs (Li and Lin, 2003); however, a minimum aberration design may not maximize the number of clear low-order effects.
Furthermore, it is shown that any 2m−(m−q IV design that contains the maximum number of clear 2FIs is not a minimum aberration design, and this conclusion also holds when the design is a 2m−(m−q IV−:2l design with q−l⩾2.
Similar(54)
Many restricted minimum aberration designs are constructed.
Relations between the maximal rank minimum aberration and minimum aberration designs and how to construct some maximal rank minimum aberration designs are also considered.
These designs are demonstrated to be more appropriate than minimum aberration designs in some scenarios.
We study the construction of minimum aberration designs of resolution II, and obtain a complete solution to the problem.
First, all existing minimum aberration designs of resolution III or higher can be used to obtain minimum aberration blocking schemes with estimability of order 2 or higher.
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