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A note on the minimum size of an orthogonal array

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  • Jay H. Beder
  • Margaret Ann McComack

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

Suggested Citation

  • Jay H. Beder & Margaret Ann McComack, 2017. "A note on the minimum size of an orthogonal array," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(8), pages 3690-3697, April.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:8:p:3690-3697
    DOI: 10.1080/03610926.2015.1071391
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