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http://dx.doi.org/10.5351/KJAS.2006.19.2.257

Statistical Properties of Second Type Central Composite Designs  

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)
Publication Information
The Korean Journal of Applied Statistics / v.19, no.2, 2006 , pp. 257-270 More about this Journal
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.
Keywords
Central composite disign of the second type; Orthogonality; Rotatability; Slope rotatability; Uniform precision;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 Box, G. E. P. and Wilson, K. B. (1951). On the experimental attainment of optimum conditions, Journal of the Royal Statistical Society, Series B, 13, 1-45
2 Khuri, A. I. and Cornell, J. A. (1996). Response Surfaces: Designs and Analyses (2nd edition), Marcel Dekker, Inc
3 Box, G. E. P. and Hunter, J. S. (1957). Multifactor experimental designs for exploring response surfaces, Annals of Mathematical Statistics, 28, 195-241   DOI
4 Hader, R. J. and Park, S. H. (1978). Slope-rotatable central composite designs, Technometrics, 20, 413-417   DOI
5 Kim, H. J. (2002). Extended central composite designs with the axial points indicated by two numbers, The Korean Communications in Statistics, 9, 595-605   과학기술학회마을   DOI   ScienceOn
6 Kim, H. J. and Ko, Y. M. (2004). On slope rotatability of central composite designs of the second type, The Korean Communications in Statistics, 11, 121-137   DOI   ScienceOn
7 Myers, R. H. (1976). Response Surface Methodology, Blacksburg, VA: Author (distributed by Edwards Brothers, Ann Arbor, MI)
8 Park, S. H. (1987). A class of multifactor designs for estimating the slope of response surfaces, Technometrics, 29, 449-453   DOI
9 Park, S. H. and Kim, H. J. (1992). A measure of slope-rotatability for second order response surface experimental designs, Journal of Applied Statistics, 19, 391-404   DOI