A note on discrete factorial designs of resolution five and seven and balanced arrays
Chopra, Dharam V. Low, Richard M. Dios, R.
Chopra, Dharam V.
Low, Richard M.
Dios, R.
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2014-08-31
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D.V. Chopra, Richard M. Low, R. Dios. A Note on Discrete Factorial Designs of Resolution Five and Seven and Balanced Arrays[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 090. 159-165.
Abstract
In this paper, we consider the use of balanced arrays (B-arrays) in constructing discrete fractional factorial designs (FFD) of resolution (2u + 1, with u = 2 and 3) in which each of the m factors is at two levels (say, 0 and 1), denoted by factorial designs of 2m series. We make use of the well-known fact that such designs can be realized under certain conditions, by using balanced arrays of strength four and six (with two symbols), respectively. Here, we consider the existence of B-arrays of strength t = 4 and t = 6, and discuss how the results presented can be used to obtain the maximum value of m for a given set of treatment-combinations. Also, we provide some illustrative examples in which the current available max(m) values have been improved upon.
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This is an open access article under the CC by license.
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Charles Babbage Research Centre
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Journal of Combinatorial Mathematics and Combinatorial Computing
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08353026