Efficient Sequential Design of Sensitivity Testing with Small Samples

• Activity Number: 582
• Type: Invited
• Date/Time: Wednesday, August 3, 2016 : 2:00 PM to 3:50 PM
• Sponsor: Quality and Productivity Section
• Author(s): C F Jeff Wu* and Dianpeng Wang
• Companies: Georgia Institute of Technology and Beijing Institute of Technology
• Keywords: sentivity testing ; sequential design ; stress variable ; 3pod design

Abstract

Perhaps the most prominent practical example of small sample design with binary outcome is the sequential sensitivity testing problem. It commonly occurs in testing of military hardware or ammunition and in toxicity studies. I will first review a recent work called "3pod design" (Wu and Tian, JSPI, 2014). It consists of three phases which can be described as a trilogy of search-estimate-approximate. Then I will address a rarely studied problem with two stress variables. It occurs quite commonly but most work in the literature is on one stress variable. Some new ideas will be outlined, part of which is inspired by the modular nature of the 3pod design mentioned above. An illustration and an extensive simulation study will be presented.