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On Slope Rotatability of Central Composite Designs of the Second Type

Kim, Hyuk-Joo   (Division of Mathematics and Informational Statistics and Institute of Basic Natural Sciences, Wonkwang UniversityUU0001021  ); Ko, Yun-Mi   (Department of Informational Statistics, Graduate School, Wonkwang UniversityUU0001021  );
  • 초록

    Kim(2002) proposed a second type of central composite design (CCD2), in which the positions of the axial points are indicated by two numbers. In this paper, we study properties of CCD2 when we are interested in estimating the slope of a response surface. Conditions are obtained for CCD2 to be slope-rotatable over axial directions, and some CCD2's are presented that have slope rotatability over axial directions. Also values of a measure of slope rotatability over axial directions are tabulated for various CCD2's. Finally, it is shown that CCD2 is always slope-rotatable over all directions.


  • 주제어

    Central composite design of the second type .   Slope rotatability over axial directions .   Slope rotatability over all directions.  

  • 참고문헌 (7)

    1. The design of experiments to estimate the slope of a response surface , Atkinson,A.C. , Biometrika / v.57,pp.319-328,
    2. A measure of slope rotatability over all directions , Kim,H.J. , The Korean Journal of Applied statistics / v.6,pp.105-123,
         
    3. Slope-rotatable central composite designs , Hader,R.J.;Park,S.H. , Technometrics / v.20,pp.413-417,
    4. Kim,H.J. , Response Surface Methodology / v.,pp.,
    5. A measure of slope-rotatability for second order response surface experimental designs , Park,S.H.;Kim,H.J. , Journal of Applied Statistics / v.19,pp.391-404,
    6. Extended central composite design with the axial points indicated by two numbers , Kim,H.J. , The Communications in Statistics / v.9,pp.595-605,
         
    7. A class of multifactor designs for estimating the slope of response surfaces , Park,S.H. , Technometrics / v.29,pp.449-453,

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