Circuits for robust designs

Roberto Fontana, Fabio Rapallo and Henry P. Wynn

LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library

Abstract: This paper continues the application of circuit theory to experimental design started by the first two authors. The theory gives a very special and detailed representation of the kernel of the design model matrix named circuit basis. This representation turns out to be an appropriate way to study the optimality criteria referred to as robustness: the sensitivity of the design to the removal of design points. Exploiting the combinatorial properties of the circuit basis, we show that high values of robustness are obtained by avoiding small circuits. Many examples are given, from classical combinatorial designs to two-level factorial designs including interactions. The complexity of the circuit representations is useful because the large range of options they offer, but conversely requires the use of dedicated software. Suggestions for speed improvement are made.

Keywords: algebraic statistics and combinatorics; design of experiments; robustness (search for similar items in EconPapers)
JEL-codes: C1 (search for similar items in EconPapers)
Pages: 24 pages
Date: 2022-10-01
New Economics Papers: this item is included in nep-exp
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Published in Statistical Papers, 1, October, 2022, 63(5), pp. 1537-1560. ISSN: 0932-5026

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Persistent link: https://EconPapers.repec.org/RePEc:ehl:lserod:113631

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