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Some higher class PBIB designs and their application as confounded factorial experiments

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References

  1. Bose, R. C. (1947). Mathematical theory of the symmetrical factorial design,Sankhyã,8, 107–166.

    MATH  Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  3. Hinkelman, K. (1964). Extended group divisible partially balanced incomplete block designs,Ann. Math. Statis.,36, 681–695.

    Google Scholar 

  4. Hinkelman, K. and Kemptharne, O. (1963). Two classes of group divisible partially diallel crosses,Biometrika,50, 281–291.

    Article  MathSciNet  Google Scholar 

  5. Kusumoto, K. (1965). Hypercubic designs,Wakayama Medical Reports,9, 123–132.

    Google Scholar 

  6. Raghavarao, D. (1971).Constructions and Combinatorial Problems in Design of Experiments, Wiley, New York.

    MATH  Google Scholar 

  7. Raghavarao, D. and Aggarwal, K. R. (1974). Some new series of PBIB designs and their applications,Ann. Inst. Statist. Math.,26, 153–161.

    MATH  MathSciNet  Google Scholar 

  8. Raghavarao, D. and Aggarwal, K. R. (1973). Extended generalised right angular designs and their applications as confounded asymmetrical factorial experiments, Submitted toCanadian Jour. Statist.

  9. Shah, B. V. (1958). On balancing in factorial experiments,Ann. Math. Statis.,29, 766–779.

    Google Scholar 

  10. Vartak, M. N. (1955). On an application of Kronecker product of matrices to statistical designs,Ann. Math. Statist.,26, 420–438.

    MATH  MathSciNet  Google Scholar 

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Aggarwal, K.R. Some higher class PBIB designs and their application as confounded factorial experiments. Ann Inst Stat Math 26, 315–323 (1974). https://doi.org/10.1007/BF02479826

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  • DOI: https://doi.org/10.1007/BF02479826

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