Abstract
In this paper the authors have introduced a class of arrays which gives a class of irregular fractions of the corresponding factorial experiments. Introducing the concept of sub-factors the degrees of freedom (d.f) due to main-effects (m.e) have been partitioned into d.f due to within sub-factor main-effects and between sub-factor main-effects. The d.f. due to interactions have been correspondingly partitioned, The analysis of the array bas been considered for main-effect plans only.
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