ENBIS-16 in Sheffield

11 – 15 September 2016; Sheffield Abstract submission: 20 March – 4 July 2016

Two-level Fractional and Fractional Factorial Designs in Blocks of Size Two

14 September 2016, 09:40 – 10:00

Abstract

Submitted by
Janet Godolphin
Authors
Janet Godolphin (University of Surrey, UK)
Abstract
Two level factorial and fractional factorial designs are widely used in screening experiments to determine which factors have a significant effect on an industrial process. Practical constraints can make it necessary to arrange the runs in blocks of size two. For example, it might only be possible to conduct two runs in a fixed period of time, or a batch of raw material may only be sufficient for two runs.

The construction of designs comprising replicates of two-level full factorials or fractional factorials arranged in blocks of size two, to estimate main effects and two factor interactions, is investigated. A construction procedure is developed based on a new concept of Selected Treatment Combinations. This provides a straightforward method of design generation in which the number of replicates of full or fractional factorials is minimised. The approach is illustrated by examples.

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