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Hypercubic designs and applications

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Abstract

In this paper we develop relatively easy methods for constructing hypercubic designs from symmetrical factorial experiments for t=v m treatments with v=2, 3. The proposed methods are easy to use and are flexible in terms of choice of possible block sizes.

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References

  1. Aggarwal, K.R. (1974). Some higher-class PBIB designs and their applications as confounded factorial experiments. Ann. Inst. Statist. Maths., 26, 315–323.

    Article  MATH  MathSciNet  Google Scholar 

  2. Chang, Cheng-Tao, (1989). On the construction of hypercubic design. Communications of Statistics, Theory and Methods, 18(9), 3365–3371.

    MATH  Google Scholar 

  3. Clatworthy, W.H. (1973). Tables of two-associate partially balanced design. Washington national bureau of standards.

  4. Hinkelmann, K. (1964). Extended group divisible partially balanced incomplete block designs. Ann. Maths. Statist., 35, 681–695.

    MathSciNet  Google Scholar 

  5. Kusumoto, K. (1965). Hypercubic designs. Wakayamma Medical reports, 9, 123–132.

    Google Scholar 

  6. Raghavarao, D. and Chandrasekhararao, K. (1964). Cubic designs. Ann. Math. Statist., 35, 389–397.

    MathSciNet  Google Scholar 

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

    MathSciNet  Google Scholar 

  8. Vartak, M.N. (1955). Construction of confounded plans for mixed factorial designs. Ann. Math. Statist., 26, 420–438.

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Statistics, St. Thomas College, Pala, Kerala, India

    A. Thannippara & B. Kurian

  2. Department of Statistics, Saurashtra University, Rajkot, Gujarat, India

    D. K. Ghosh

  3. Department of Mathematics and Statistics, University of West Florida, Pensacola, FL, USA

    S. C. Bagui

  4. Department of Statistics, University of Manitoba, Winnipeg, MB, Canada

    S. Mandal

Authors
  1. A. Thannippara
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  2. B. Kurian
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  3. D. K. Ghosh
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  4. S. C. Bagui
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  5. S. Mandal
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Corresponding author

Correspondence to S. C. Bagui.

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Thannippara, A., Kurian, B., Ghosh, D.K. et al. Hypercubic designs and applications. Statistical Papers 48, 503–508 (2007). https://doi.org/10.1007/s00362-006-0351-6

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  • DOI: https://doi.org/10.1007/s00362-006-0351-6

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