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Optimal orthogonal designs in two blocks for Becker's mixture models in three and four components

Author

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  • Aggarwal, M. L.
  • Sarin, V.
  • Singh, Poonam

Abstract

Orthogonal block designs for Scheffé's quadratic model in three and four components have been considered by John (Technical Report 8, Centre for Statistical Sciences, University of Texas, Austin, TX, pp. 1-17), Czitrom (Comm. Statist. Theory Methods 17 (1988) 105; Comm. Statist. Theory Methods 18 (1989) 4561; Comm. Statist. Simulation Comput. 21 (1992) 493), Draper et al. (Technometrics 35 (1993) 268), Chan and Sandhu (J. Appl. Statist. 26(1) (1999) 19), and Ghosh and Liu (J. Statist. Plann. Inference 78 (1999) 219). In this paper, we have constructed optimal orthogonal designs in two blocks for Becker's models in three and four components. We have also given conditions for orthogonality.

Suggested Citation

  • Aggarwal, M. L. & Sarin, V. & Singh, Poonam, 2002. "Optimal orthogonal designs in two blocks for Becker's mixture models in three and four components," Statistics & Probability Letters, Elsevier, vol. 59(4), pages 385-396, October.
    • Handle: RePEc:eee:stapro:v:59:y:2002:i:4:p:385-396
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    References listed on IDEAS

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    1. L. Y. Chan, 1999. "Optimal orthogonal block designs for a quadratic mixture model for three components," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(1), pages 19-34.
    2. Hilgers, Ralf-Dieter, 2000. "D-optimal design for Becker's minimum polynomial," Statistics & Probability Letters, Elsevier, vol. 49(2), pages 175-179, August.
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    Cited by:

    1. Aggarwal, M. L. & Singh, Poonam & Gupta, Nidhi, 2004. "Orthogonal block designs in two blocks for second degree K-model," Statistics & Probability Letters, Elsevier, vol. 66(4), pages 423-434, March.

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