Some new augmented fractional Box–Behnken designs. Issue 4 (16th February 2017)

• Record Type: Journal Article
• Authors: Rashid, Fareeha; Akram, Muhammad; Akbar, Atif; Javed, Anum
• Is Part Of: Communications in statistics. Volume 46:Issue 4(2017)
• Page Start: 2007
• Page End: 2012
• Publication Date: 2017-02-16
• Subjects: Box–Behnken Designs (BBDs) -- Augmented Box–Behnken designs (ABBDs) -- Fractional Box–Behnken designs (FBBDs) -- Efficiency -- Response surface models -- Second-order designs -- Third-order designs; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2015.1032423
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: The augmented Box–Behnken designs are used in the situations in which Box–Behnken designs (BBDs) could not estimate the response surface model due to the presence of third-order terms in the response surface models. These designs are too large for experimental use. Usually experimenters prefer small response surface designs in order to save time, cost, and resources; therefore, using combinations of fractional BBD points, factorial design points, axial design points, and complementary design points, we augment these designs and develop new third-order response surface designs known as augmented fractional BBDs (AFBBDs). These AFBBDs have less design points and are more efficient than augmented BBDs.