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On the construction and existence of orthogonal arrays with three levels and indexes 1 and 2

S. Hedayat, John Stufken, Guoqin Su

The Annals of Statistics · 1997 · Volume 25 · Issue 5

DOI: 10.1214/aos/1069362386

Abstract

We study the construction of orthogonal arrays with three levels and index 1 and the existence of orthogonal arrays with three levels and index 2. For strength greater than or equal to 2, we show that orthogonal arrays with three levels and index 1 are unique, and we establish the maximum number of factors for orthogonal arrays with three levels and index 2.

Keywords

05B15, 62K15, 94B05, Fractional factorial designs, orthogonal arrays

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