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Original Articles

A Class of Multifactor Designs for Estimating the Slope of Response Surfaces

Pages 449-453 | Published online: 23 Mar 2012

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Haron Mutai Ng’eno. (2021) Modified non-sequential third order rotatable designs constructed using Pairwise Balanced Design. Statistical Theory and Related Fields 5:2, pages 83-87.
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Haron Mutai Ng’eno. (2019) Measure of rotatability of modified five-level second-order rotatable design using supplementary difference sets. Statistical Theory and Related Fields 3:1, pages 40-47.
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SoonS. Kwon & SungH. Park. (2012) Conditions of Slope-Rotatability for Third-Order Polynomial Regression Models. Communications in Statistics - Theory and Methods 41:23, pages 4348-4359.
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B. Re Victorbabu & Ch. V.V.S. Surekha. (2012) Construction of measure of second order slope rotatable designs using symmetrical unequal block arrangements with two unequal block sizes. Journal of Statistics and Management Systems 15:4-5, pages 569-579.
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Nam-Ky Nguyen & DennisK. J. Lin. (2011) A Note on Small Composite Designs for Sequential Experimentation. Journal of Statistical Theory and Practice 5:1, pages 109-117.
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S. Huda & L. Benkherouf. (2010) Rotatability is a Sufficient Condition for A- and D-Rotatability. Communications in Statistics - Simulation and Computation 39:6, pages 1174-1182.
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Rabindra Nath Das & Sung H. Park. (2009) A measure of robust slope-rotatability for second-order response surface experimental designs. Journal of Applied Statistics 36:7, pages 755-767.
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Ho-Seog Kang, Kee-Hoon Kang & Sung H. Park. (2006) Minimax Designs for the Stability of Slope Estimation on Second-order Response Surfaces. Journal of Applied Statistics 33:9, pages 975-988.
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Raymond H. Myers, Douglas C. Montgomery, G. Geoffrey Vining, Connie M. Borror & Scott M. Kowalski. (2004) Response Surface Methodology: A Retrospective and Literature Survey. Journal of Quality Technology 36:1, pages 53-77.
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Walter Tinsson. (2001) PREDICTION OF THE VARIATIONS OF THE MEAN RESPONSE BY USING EXPERIMENTAL DESIGN WITH QUANTITATIVE FACTORS AND RANDOM BLOCK EFFECTS. Communications in Statistics - Theory and Methods 30:2, pages 209-228.
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S. Huda & A.A. Al-Shiha. (2000) On d- and e- minimax optimal designs for estimating the axial slopes of a second-order response surface over hypercubic regions. Communications in Statistics - Theory and Methods 29:8, pages 1827-1849.
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Sung H. Park & Hyo T. Kwon. (1998) Slope-rotatable designs with equal maximum directional variance for second order response surface models. Communications in Statistics - Theory and Methods 27:11, pages 2837-2851.
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S. Huda & A.A. Al-Shiha. (1998) Minimax designs for estimating the slope of a third-order response surface in a hypercubic region. Communications in Statistics - Simulation and Computation 27:2, pages 345-356.
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G.V.S.R. Anjaneyulu, D.N. Varma & V.L. Narasimham. (1997) A note on second order slope rotatable designs over all directions. Communications in Statistics - Theory and Methods 26:6, pages 1477-1479.
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Dae-Heung Jang & Ho-Jun Na. (1996) A graphical method for evaluating mixture designs with respect to the slope. Communications in Statistics - Theory and Methods 25:5, pages 1043-1058.
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Hyuk Joo Kim, Yonghwan Um & Andre I. Khuri. (1996) Quantile plots of the average slope variance for response surface designs. Communications in Statistics - Simulation and Computation 25:4, pages 995-1014.
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Lisa H. Ying, Friedrich Pukelsheim & Norman R. Draper. (1995) Slope rotatability over all directions designs for k = 4. Journal of Applied Statistics 22:3, pages 343-354.
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Lisa H. Ying, Friedrich Pukelsheim & Norman R. Draper. (1995) Slope rotatability over all directions designs. Journal of Applied Statistics 22:3, pages 331-341.
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Dae H. Jang & Sung H. Park. (1993) A measure and a graphical method for evaluating slope rotatability in response surface designs. Communications in Statistics - Theory and Methods 22:7, pages 1849-1863.
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S. Huda & M. Shafiq. (1992) Minimax designs for estimating the slope of a second-order response surface in a cubic region. Journal of Applied Statistics 19:4, pages 501-507.
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Sung H. Park & Hyuk J. Kim. (1992) A measure of slope-rotatability for second order response surface experimental designs. Journal of Applied Statistics 19:3, pages 391-404.
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Joong-Yang Park. (1990) Designs for estimating the difference between two responses. Communications in Statistics - Theory and Methods 19:12, pages 4773-4787.
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Articles from other publishers (5)

Andre I Khuri. (2017) A General Overview of Response Surface Methodology. Biometrics & Biostatistics International Journal 5:3.
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Rabindra Nath Das. 2014. Robust Response Surfaces, Regression, and Positive Data Analyses. Robust Response Surfaces, Regression, and Positive Data Analyses 168 179 .
B. Re. Victorbabu & K. Rajyalakshmi. (2012) A New Method of Construction of Robust Second Order Slope Rotatable Designs Using Pairwise Balanced Designs. Open Journal of Statistics 02:03, pages 319-327.
Crossref
. 1994. Optimization Techniques in Statistics. Optimization Techniques in Statistics 325 341 .
Sung H. Park, Jun H. Lim & Yasumasa Baba. (1993) A measure of rotatability for second order response surface designs. Annals of the Institute of Statistical Mathematics 45:4, pages 655-664.
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