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Original Articles

Slope-Rotatable Central Composite Designs

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Pages 413-417 | Published online: 09 Apr 2012

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M. Hemavathi, Shashi Shekhar, Eldho Varghese, Seema Jaggi, Bikas Sinha & Nripes Kumar Mandal. (2022) Theoretical developments in response surface designs: an informative review and further thoughts. Communications in Statistics - Theory and Methods 51:7, pages 2009-2033.
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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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Rabindra Nath Das, Partha Pal & Sung H. Park. (2015) Modified Robust Second-Order Slope-Rotatable Designs. Communications in Statistics - Theory and Methods 44:1, pages 80-94.
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U. C Nduka & P. E. Chigbu. (2014) On The Optimal Choice of Cube and Star Replications in Restricted Second-Order Designs. Communications in Statistics - Theory and Methods 43:19, pages 4195-4214.
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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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Holger Dette, Viatcheslav B. Melas & Andrey Pepelyshev. (2010) Optimal designs for estimating the slope of a regression. Statistics 44:6, pages 617-628.
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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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HeeJ. Park & SungH. Park. (2010) Extension of Central Composite Design for Second-Order Response Surface Model Building. Communications in Statistics - Theory and Methods 39:7, pages 1202-1211.
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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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Raymond H. Myers, Yoon Kim & Kristi L. Griffiths. (1997) Response Surface Methods and the Use of Noise Variables. Journal of Quality Technology 29:4, pages 429-440.
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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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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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B. Re. Victor Babu & V. L. Narasimhant. (1991) Construction of second order slope rotatable designs through balanced incomplete block designs. Communications in Statistics - Theory and Methods 20:8, pages 2467-2478.
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RaymondH. Myers, AndréI. Khuri & WalterH. Carter. (1989) Response Surface Methodology: 1966–l988. Technometrics 31:2, pages 137-157.
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DavidM. Steinberg & WilliamG. Hunter. (1984) Experimental Design: Review and Comment. Technometrics 26:2, pages 71-97.
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V. B. Melas & P. V. Shpilev. (2020) Constructing c-Optimal Designs for Polynomial Regression without an Intercept. Vestnik St. Petersburg University, Mathematics 53:2, pages 223-231.
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I Winarni, TB Bardant & D Hendra. (2020) Enhancement the added value of sengon wood waste pulp as bioenergy raw material for bioethanol production. IOP Conference Series: Earth and Environmental Science 415:1, pages 012012.
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Andre I Khuri. (2017) A General Overview of Response Surface Methodology. Biometrics & Biostatistics International Journal 5:3.
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Yadollah Abdollahi, Nor Asrina Sairi, Suhana Binti Mohd Said, Ebrahim Abouzari-lotf, Azmi Zakaria, Mohd Faizul Bin Mohd Sabri, Aminul Islam & Yatimah Alias. (2015) Scheduling the blended solution as industrial CO2 absorber in separation process by back-propagation artificial neural networks. Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 150, pages 892-901.
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Fernanda Godoy Santos, Layanne Andrade Mendonça & Hilário Cuquetto Mantovani. (2015) A central composite rotatable design (CCRD) approach to study the combined effect of antimicrobial agents against bacterial pathogens. World Journal of Microbiology and Biotechnology 31:9, pages 1361-1367.
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Haeil Ahn. 2015. Industrial Engineering, Management Science and Applications 2015. Industrial Engineering, Management Science and Applications 2015 969 979 .
Rabindra Nath Das. 2014. Robust Response Surfaces, Regression, and Positive Data Analyses. Robust Response Surfaces, Regression, and Positive Data Analyses 168 179 .
Yadollah Abdollahi, Azmi Zakaria, Mina Abbasiyannejad, Hamid Reza Fard Masoumi, Mansour Ghaffari Moghaddam, Khamirul Amin Matori, Hossein Jahangirian & Ashkan Keshavarzi. (2013) Artificial neural network modeling of p-cresol photodegradation. Chemistry Central Journal 7:1.
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Yadollah Abdollahi, Azmi Zakaria, Raba’ah Syahidah Aziz, Siti Norazilah Ahmad Tamili, Khamirul Amin Matori, Nuraine Mariana Mohd Shahrani, Nurhidayati Mohd Sidek, Masoumeh Dorraj & Seyedehmaryam Moosavi. (2013) Optimizing Bi2O3 and TiO2to achieve the maximum non-linear electrical property of ZnO low voltage varistor. Chemistry Central Journal 7:1.
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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.
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B. Re. VictorbabuV. Vasundharadevi. (2009) On the Efficiencies of Second Order Response Surface Designs for the Estimation of Responses and Slopes Using Symmetrical Unequal Block Arrangements with Two Unequal Block Sizes. JOURNAL OF THE JAPAN STATISTICAL SOCIETY 39:1, pages 1-14.
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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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