Abstract
Supersaturated design is essentially a fractional factorial in which the number of potential effects is greater than the number of runs. And Room square is an important object in combinatorial design theory. We show a link between these two apparently unrelated kinds of designs. E (fNOD) criterion for comparing supersaturated designs is proposed and a lower bound of E (fNOD) is obtained as a benchmark of design optimality. It is shown that the E (fNOD) criterion is an extension of the popular E(s2) and ave x2 criterion (for two- and three-level supersaturated designs respectively). A new construction method for multi-level supersaturated designs via Room squares is also proposed and some properties of the resulting designs are investigated.
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