Abstract
It is shown that the characteristic roots of the information matrix of a balanced fractional 2m factorial designT of resolution 2l+1 are the same as those of its complementary design\(\bar T\). Necessary conditions for the existence of such a designT are also given.
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Yamamoto, S., Shirakura, T. and Kuwada, M. Characteristic polynomials of the information matrices of balanced fractionnal 2m factorial designs of higher (2l+1 resolution, To appear inEssays in Probability and Statistics.
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Shirakura, T., Kuwada, M. Note on balanced fractional 2m factorial designs of resolution 2l+1. Ann Inst Stat Math 27, 377–386 (1975). https://doi.org/10.1007/BF02504657
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DOI: https://doi.org/10.1007/BF02504657