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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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