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Construction of central composite designs for balanced orthogonal blocks

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  • Sung Park
  • Kiho Kim

Abstract

Box & Hunter (1957) recommended a set of orthogonally blocked central composite designs (CCD) when the region of interest is spherical. In order to achieve rotatability along with orthogonal blocking, the block size for those designs becomes unequal and it may not be attractive or practical to use such unequally blocked designs in many practical situations. In this paper, a construction method of orthogonally blocked CCD under the assumption of equal block size is proposed and an index of block orthogonality is introduced.

Suggested Citation

  • Sung Park & Kiho Kim, 2002. "Construction of central composite designs for balanced orthogonal blocks," Journal of Applied Statistics, Taylor & Francis Journals, vol. 29(6), pages 885-893.
    • Handle: RePEc:taf:japsta:v:29:y:2002:i:6:p:885-893
    DOI: 10.1080/02664760220136195
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    References listed on IDEAS

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    1. Sung Park & Jun Lim & Yasumasa Baba, 1993. "A measure of rotatability for second order response surface designs," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 45(4), pages 655-664, December.
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