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On the construction of asymmetrical orthogonal arrays. (English) Zbl 0784.62076
Summary: General techniques for the construction of asymmetrical orthogonal arrays of strength 2 are presented. These are then applied to special cases to obtain new families of such arrays. Among these are saturated main-effect plans based on \(s^ m\) runs with factors at \(s^{v_ i}\) levels, \(i=0,1,\ldots,r\), where \(m \geq v_ r\), \(v_ 0=1\), \(v_{i-1}\) divides \(v_ i\), \(i=1,2,\ldots,r\), and \(s\) is a prime power.

MSC:
62K15 Factorial statistical designs
05B15 Orthogonal arrays, Latin squares, Room squares
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