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
- Submitted by
- Janet Godolphin
- Janet Godolphin (University of Surrey, UK)
- 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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