Computer Aided First- and Second-Order Triangular Balanced Designs
نویسندگان
چکیده
Veevers and Boffey [1] identified 12 elementary balanced arrays. Zafar-Yab [2] confirmed the results of Veevers and Boffey [1] and investigated that among those 12 arrays, six arrays are unique and the other six are their associate partners. In this paper, there are 54 isomorphic classes containing 43-hills. Among these arrays 12 are vertically self-buildable arrays, after suitably augmentation these arrays become isomorphic to 12 elementary balanced arrays identified by Veevers and Boffey [1]. Therefore, those 12 elementary balanced arrays constitute a subset of currently identified 54 isomorphic classes. In addition, four new balanced arrays of 34-hills are constructed on triangular lattice and three of them are partially self-buildable. Another set of 93 balanced designs is identified containing 46-hills. A new family of designs balanced for firstand secondorder neighbours is identified. These designs are eligible to find both the firstand secondorder effect.
منابع مشابه
Some series of block designs with nested rows and columns
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