Construction of E (fNOD)-Optimal Supersaturated Designs VIA Room Squares

Kai Tai Fang; Gen Nian Ge; Min Qian Liu

doi:10.1177/0008068320020503

Construction of E (f_NOD)-Optimal Supersaturated Designs VIA Room Squares

Kai Tai Fang, Gen Nian Ge, Min Qian Liu

Research output: Contribution to journal › Journal article › peer-review

13 Citations (Scopus)

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 (f_NOD) criterion for comparing supersaturated designs is proposed and a lower bound of E (f_NOD) is obtained as a benchmark of design optimality. It is shown that the E (f_NOD) 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.

Original language	English
Pages (from-to)	71-84
Number of pages	14
Journal	Calcutta Statistical Association Bulletin
Volume	52
Issue number	1-4
DOIs	https://doi.org/10.1177/0008068320020503
Publication status	Published - Mar 2002
Externally published	Yes

User-Defined Keywords

E (fNOD)-optimal
Room square
Supersaturated design
U-type design

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10.1177/0008068320020503

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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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AU - Ge, Gen Nian

AU - Liu, Min Qian

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N2 - 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.

AB - 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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Construction of E (f_NOD)-Optimal Supersaturated Designs VIA Room Squares

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