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Designs of variable resolution robust to non-negligible two-factor interactions

Authors

Ryan Lekivetz (1) and C. Devon Lin (2)

Affiliations

(1) JMP Statistical Discovery LLC

(2) Queen's University

Journal

Statistica Sinica

Date Published

2016

Abstract

In some experimental situations, there is a natural grouping of factors. Prior knowledge may indicate that active two-factor interactions only occur within groups of factors. Designs of variable resolution (Lin (2012)) were introduced for such situations. However, main effects from one group in a design of variable resolution may be aliased with non-negligible two-factor interactions from another group. In this article, we introduce robust designs of variable resolution which ensure main effects are robust to non-negligible interactions. Constructions are provided for a number of situations. Some existence results are given as well.

Citation

Lekivetz, R. and Lin, C.D., 2016. Designs of variable resolution robust to non-negligible two-factor interactions. Statistica Sinica, pp.1269-1278, https://www.jstor.org/stable/24721275.