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.
Original language | English (US) |
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Pages (from-to) | 2044-2053 |
Number of pages | 10 |
Journal | Annals of Statistics |
Volume | 25 |
Issue number | 5 |
DOIs | |
State | Published - Oct 1997 |
Externally published | Yes |
Keywords
- Fractional factorial designs
- Orthogonal arrays
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty