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Note on balanced fractional 2m factorial designs of resolution 2l+1

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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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References

  1. Chakravarti, I. M. (1956). Fractional replication in asymmetrical factorial designs and partially balanced arrays,Sankhyã,17, 143–164.

    MathSciNet  Google Scholar 

  2. Riordan, J. (1968)Combinatorial Identities, Wiley, New York.

    MATH  Google Scholar 

  3. Srivastava, J. N. (1970). Optimal balanced 2m fractional factorial designs,S. N. Roy Memorial Volume, Univ. of North Carolina, and Indian Statiststical Institute, 689–706.

  4. Srivastava, J. N. and Chopra, D. V. (1971a). Balanced optimal 2m fractional factorial designs of resolution V,m<=6,Technometrics,13, 257–269.

    Article  MathSciNet  Google Scholar 

  5. Srivastava, J. N. and Chopra, D. V. (1971b). On the characteristic roots of the information matrix of 2m balanced factorial designs of resolution V, with applications,Ann. Math. Statist.,42, 722–734.

    MathSciNet  Google Scholar 

  6. Yamamoto, S., Shirakura, T. and Kuwada, M. (1975). Balanced arrays of strength 2l and balanced fractional 2m factorial designs,Ann. Inst. Statist. Math.,27, 143–157.

    MathSciNet  Google Scholar 

  7. 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

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