We show that an orthogonal array for three symbols, of strength 3 and of index 2 can accommodate no more than five factors. We also show that there are exactly four nonisomorphic arrays with five factors.
On finding mixed orthogonal arrays of strength 2 with many 2-level factors
✍ Scribed by Dean DeCock; John Stufken
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 69 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0167-7152
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✦ Synopsis
We describe a method for ÿnding mixed orthogonal arrays of strength 2 with a large number of 2-level factors. The method starts with an orthogonal array of strength 2, possibly tight, that contains mostly 2-level factors. By a computer search of this starting array, we attempt to ÿnd as large a number of 2-level factors as possible that can be used in a new orthogonal array of strength 2 containing one additional factor at more than two levels. The method produces new orthogonal arrays for some parameters, and matches the best-known arrays for others. It is especially useful for ÿnding arrays with one or two factors at more than two levels.
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