Designing fractional factorial split-plot experiments using integer programming. (19th January 2011)

• Record Type: Journal Article
• Authors: Capehart, Shay R.; Keha, Ahmet; Kulahci, Murat; Montgomery, Douglas C.
• Is Part Of: International journal of experimental design and process optimisation. Volume 2:Number 1(2011)
• Page Start: 34
• Page End: 57
• Publication Date: 2011-01-19
• Subjects: design criteria -- clear effects -- fractional factorial design -- tailor-made designs -- hard-to-change factors -- split-plot design -- integer programming; Experimental design -- Periodicals; Process control -- Statistical methods -- Periodicals; 620.0072
• Languages: English
• ISSNs: 2040-2252

Abstract

Split-plot designs are commonly used in industrial experiments when there are hard-to-change and easy-to-change factors. Due to the number of factors and resource limitations, it is more practical to run a fractional factorial split-plot (FFSP) design. These designs are variations of the fractional factorial (FF) design, with the restricted randomisation structure to account for the whole plots and subplots. We discuss the formulation of FFSP designs using integer programming (IP) to achieve various design criteria. We specifically look at the maximum number of clear two-factor interactions and variations on this criterion.