Minimal Second-Order Saturated Designs

• Activity Number: 620
• Type: Invited
• Date/Time: Thursday, August 7, 2014 : 10:30 AM to 12:20 PM
• Sponsor: Memorial
• Author(s): Ching-Shui Cheng*+
• Companies: Academia Sinica
• Keywords: clear effects ; Hadamard matrices ; maximal resolution four designs ; saturated designs ; space-filling designs

Abstract

Under a 2^{n-p} fractional factorial design, in addition to the main effects, there are 2^{n-p}-1-n degrees of freedom available for estimating interactions. A design is said to be second-order saturated (SOS) if all these degrees of freedom can be used to estimate two-factor interactions. An SOS design is minimal if it is no longer SOS when an arbitrary factor is deleted. All SOS designs can be obtained by adding factors to minimal ones. Regular two-level minimal SOS designs of resolution four are known to be important for studying the structures and construction of resolution four designs. Minimal SOS designs are also useful for constructing space-filing designs for computer experiments. I will talk about some results on the construction of minimal SOS designs.