A Statistical Analysis of 2 5-1 Factorial Design using Fuzzy Approach
Abstract
In factorial experiments, many difficulties may occur while handling large number of factors. These difficulties may overcome through fractioning the treatments, which is known as fractional factorial design (FFD).In FFD, the choice of the fraction of treatment depends on what type of information is sacrificed. Usually, the interactions with higher-order are omitted, and all main effects and two-factor interactions are estimated without loss of information. The procedure for the layout of FFD is closely related to the concept of confounding. FFD is used to reduce treatment combinations by a fraction. Fuzzy theory is used to deal with the imprecise
observations in this design. This paper proposes the statistical analysis of fuzzy 25-1 factorial design with numerical illustration.
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