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Construction and combinatorial properties of orthogonal arrays with variable number of symbols in rows

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References

  1. S. Addleman, Orthogonal main-effect plans for asymmetrical factorial experiments, Technometrics, 4, (1962), 21–46.

    CrossRef  MathSciNet  Google Scholar 

  2. S. Addleman, Symmetrical and asymmetrical fractional plans, Technometrics, 4, (1962), 47–58.

    CrossRef  MathSciNet  Google Scholar 

  3. B. Adhikary, On the properties and construction of balanced block designs with variable replications, Calcutta Stat. Assoc. Bull., 14 (1965), 36–64.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. B. Adhikary, Group divisible designs with variable replications, Calcutta Stat. Assoc. Bull., 16, (1967), 73–92.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. K.A. Bush, A generalization of theorem due to Macnish, Ann. Math. Stat., 23, (1952), 293–295.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. I.M. Chakravorty, Practical replication in asymmetrical factorial designs and partially balanced arrays, Sankhyā, 17, (1956), 143–164.

    Google Scholar 

  7. A. H-upedayat and E. Seiden, F-square and orthogonal F-square designs: A generalisation of latin square and orthogonal latin squares design, Ann. Math. Stat., 41, (1970), 2035–2044.

    CrossRef  MATH  Google Scholar 

  8. R.L. Placket, Some generalisations in the multifactorial design, Biometrika, 33, (1946), 328–334.

    CrossRef  MathSciNet  Google Scholar 

  9. D. Raghavarao, Constructions and Combinatorial Problems in Design of Experiments, John Wiley and Sons, New York, 1971.

    MATH  Google Scholar 

  10. C.R. Rao, Hypercubes of strength “d” leading to confounded designs in factorial experiments, Bull. Cal. Math. Soc., 38 (1946), 67–78.

    MathSciNet  MATH  Google Scholar 

  11. C.R. Rao, Some Combinatorial Problems of Arrays and Applications to Design of Experiments in A Survey of Combinatorial Theory (ed. J.N. Srivastava and others), North Holland Publishing Co., Amsterdam, 1973, pp 349–359.

    Google Scholar 

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© 1981 Springer-Verlag

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Adhikary, B., Das, P. (1981). Construction and combinatorial properties of orthogonal arrays with variable number of symbols in rows. In: Rao, S.B. (eds) Combinatorics and Graph Theory. Lecture Notes in Mathematics, vol 885. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092260

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  • DOI: https://doi.org/10.1007/BFb0092260

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11151-1

  • Online ISBN: 978-3-540-47037-3

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