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Detailed wordlength pattern of regular fractional factorial split-plot designs in terms of complementary sets. (English) Zbl 1094.62089
Summary: With reference to regular fractional factorial split-plot designs, we consider a detailed wordlength pattern taking due cognizance of the distinction between the whole-plot and sub-plot factors. A generalized version of the MacWilliams identity [see F. J. MacWilliams and N. J. A. Sloane, The theory of error correcting codes. (1985; Zbl 0657.94010)] is employed to express the detailed wordlength pattern in terms of complementary sets. Several special features make this result intrinsically different from the corresponding one in classical fractional factorial designs where all factors have the same status. An application to robust parameter designs is indicated and examples are given.

MSC:
62K15 Factorial statistical designs
05B25 Combinatorial aspects of finite geometries
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