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Minimum Setup Minimum Aberration Two‐level Split‐plot Type Designs for Physical Prototype Testing
Authors:Linda Lee Ho  Carla A Vivacqua  André Luís Santos de Pinho
Affiliation:1. Production Engineering, USP, S?o Paulo, S?o Paulo, Brazil;2. Statistics, Universidade Federal do Rio Grande do Norte, Natal, Brazil
Abstract:Although new technologies allow for less effort in prototyping, physical testing still remains an important step in the product development cycle. Well‐planned experiments are useful to guide the decision‐making process. During the design of an experiment, one of the challenges is to balance limited resources and system constraints to obtain useful information. It is common that prototypes are composed of several parts, with some parts more difficult to assemble than others. And, usually, there is only one piece available of each part type and a large number of different setups. Under these conditions, designs with randomization restrictions become attractive approaches. Considering this scenario, a new and additional criterion, minimum setup, to construct split‐plot type designs is presented. Designs with the minimum number of setups of the more difficult parts, which are especially useful for screening purposes in physical prototype testing, are discussed. The use of the proposed criterion combined with minimum aberration for selecting a regular design is shown through a real application in testing car prototypes. As a tool to practitioners, catalogs of selected 32‐run minimum setup minimum aberration split‐split‐plot and split‐split‐split‐plot designs are presented. More complete catalogs are available as Supporting information. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:fractional factorial design  hard‐to‐change factor  regular design  restricted randomization  screening design
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