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Statistical Properties of Second Type Central Composite Designs

제2종의 중심합성계획의 통계적 성질

  • Kim Hyuk-Joo (Division of Mathematics and Informational Statistics and Institute of Basic Natural Science, Wonkwang University) ;
  • Park Sung-Hyun (Department of Statistics, Seoul National University)
  • 김혁주 (원광대학교 수학.정보통계학부 및 기초자연과학연구소) ;
  • 박성현 (서울대학교 통계학과)
  • Published : 2006.07.01

Abstract

Kim(2002) proposed a second type of central composite design in which the positionsof the axial points are indicated by two numbers, and called it CCD2. In the present paper, we have studied CCD2 further and obtained several new facts. We have obtained CCD2's that have both orthogonality and rotatability, both orthogonality and slope rotatability, and both rotatability and uniform precision. We also have applied Park and Kim's (1992) measure of slope rotatability to such CCD2's and observed some useful results.

Kim(2002)은 축점의 위치가 두 개의 수에 의하여 정해지는 제2종의 중심합성계획을 제시하고 이를 CCD2라 불렀다. 본 논문에서는 CCD2를 더욱 연구하여 몇 가지의 새로운 사실을 밝혔다. 직교성과 회전성, 직교성과 기울기회전성, 회전성과 균등정밀성을 동시에 갖는 CCD2들을 구하였으며, Park과 Kim(1992)이 제시한 기울기회전성의 측도를 이러한 CCD2들에 적용하여 그 결과를 관찰하였다.

Keywords

References

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