A note on the minimum size of an orthogonal array

Jay H. Beder and Margaret Ann McComack

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 8, 3690-3697

Abstract: It is an elementary fact that the size of an orthogonal array of strength t on k factors must be a multiple of a certain number, say Lt, that depends on the orders of the factors. Thus Lt is a lower bound on the size of arrays of strength t on those factors, and is no larger than Lk, the size of the complete factorial design. We investigate the relationship between the numbers Lt, and two questions in particular: For what t is Lt

Date: 2017
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DOI: 10.1080/03610926.2015.1071391

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