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Technometrics Volume 31, 1989 - Issue 2
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Original Articles

Graphical Assessment of the Prediction Capability of Response Surface Designs

Ann Giovannitti-Jensen Department of Statistics, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061
&
Raymond H. Myers Department of Statistics, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061
Pages 159-171 | Published online: 23 Mar 2012

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Abimibola Victoria Oladugba, Brenda Mbouamba Yankam & Oluchukwu Chukwuemeka Asogwa. (2024) Prediction variance capability of orthogonal uniform composite designs and orthogonal array composite designs in the spherical region. Communications in Statistics - Theory and Methods 53:5, pages 1611-1623.
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Jin H. Oh. (2023) Graphical evaluation of prediction capability when the number of noise variable increases in robust parameter design. Communications in Statistics - Theory and Methods 52:18, pages 6561-6572.
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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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Charity Uchenna Onwuamaeze. (2021) Optimal prediction variance properties of some central composite designs in the hypercube. Communications in Statistics - Theory and Methods 50:8, pages 1911-1924.
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Juntao Fang, Zhen He, Shuguang He & Guodong Wang. (2020) The robustness of response surface designs with errors in factor levels. Communications in Statistics - Theory and Methods 49:10, pages 2365-2383.
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Jin H. Oh, Sung H. Park & Soon S. Kwon. (2018) Graphical evaluation of robust parameter designs based on extended scaled prediction variance and extended spherical average prediction variance. Communications in Statistics - Theory and Methods 47:14, pages 3523-3531.
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Peter Goos, Bradley Jones & Utami Syafitri. (2016) I-Optimal Design of Mixture Experiments. Journal of the American Statistical Association 111:514, pages 899-911.
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Juntao Fang, Zhen He & Linxi Song. (2015) Evaluation of Response Surface Designs in Presence of Errors in Factor Levels. Communications in Statistics - Theory and Methods 44:18, pages 3769-3781.
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Eugene C. Ukaegbu & Polycarp E. Chigbu. (2015) Comparison of Prediction Capabilities of Partially Replicated Central Composite Designs in Cuboidal Region. Communications in Statistics - Theory and Methods 44:2, pages 406-427.
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Rong Pan & Tao Yang. (2014) Design and Evaluation of Accelerated Life Testing Plans with Dual Objectives. Journal of Quality Technology 46:2, pages 114-126.
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Myrta Rodríguez, Bradley Jones, Connie M. Borror & Douglas C. Montgomery. (2010) Generating and Assessing Exact G-Optimal Designs. Journal of Quality Technology 42:1, pages 3-20.
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WayneR. Wesley, JamesR. Simpson, PeterA. Parker & JosephJ. Pignatiello$suffix/text()$suffix/text(). (2009) Maximum and Minimum Prediction Variance for Spherical and Cuboidal Split Plot Designs. Communications in Statistics - Theory and Methods 38:13, pages 2251-2266.
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Wayne R. Wesley, James R. Simpson, Peter A. Parker & Joseph J. Pignatiello$suffix/text()$suffix/text(). (2009) Exact Calculation of Integrated Prediction Variance for Response Surface Designs on Cuboidal and Spherical Regions. Journal of Quality Technology 41:2, pages 165-180.
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WayneR. Wesley, JamesR. Simpson, PeterA. Parker & JosephR. Pignatiello$suffix/text()$suffix/text(). (2008) Analytical Characterization of the Information Matrix for Split-Plot Designs. Communications in Statistics - Theory and Methods 38:1, pages 90-102.
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James M. Lucas. (2007) Response Surfaces, Mixtures, and Ridge Analysis, Second Edition. Journal of Quality Technology 39:4, pages 392-394.
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You-Jin Park, Diane E. Richardson, Douglas C. Montgomery, Ayca Ozol-Godfrey, Connie M. Borror & Christine M. Anderson-Cook. (2005) Prediction Variance Properties of Second-Order Designs for Cuboidal Regions. Journal of Quality Technology 37:4, pages 253-266.
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Ayca Ozol-Godfrey, Christine M. Anderson-Cook & Douglas C. Montgomery. (2005) Fraction of Design Space Plots for Examining Model Robustness. Journal of Quality Technology 37:3, pages 223-235.
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Heidi B. Goldfarb, Connie M. Borror, Douglas C. Montgomery & Christine M. Anderson-Cook. (2004) Evaluating Mixture-Process Designs with Control and Noise Variables. Journal of Quality Technology 36:3, pages 245-262.
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Heidi B. Goldfarb, Christine M. Anderson-Cook, Connie M. Borror & Douglas C. Montgomery. (2004) Fraction of Design Space Plots for Assessing Mixture and Mixture-Process Designs. Journal of Quality Technology 36:2, pages 169-179.
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Guillermo Miró-Quesada & Enrique Del Castillo. (2004) Two Approaches for Improving the Dual Response Method in Robust Parameter Design. Journal of Quality Technology 36:2, pages 154-168.
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Heidi B. Goldfarb, Connie M. Borror, Douglas C. Montgomery & Christine M. Anderson-Cook. (2004) Three-Dimensional Variance Dispersion Graphs for Mixture-Process Experiments. Journal of Quality Technology 36:1, pages 109-124.
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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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Alyaa Zahran, Christine M. Anderson-Cook & Raymond H. Myers. (2003) Fraction of Design Space to Assess Prediction Capability of Response Surface Designs. Journal of Quality Technology 35:4, pages 377-386.
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Connie M. Borror, Douglas C. Montgomery & Raymond H. Myers. (2002) Evaluation of Statistical Designs for Experiments Involving Noise Variables. Journal of Quality Technology 34:1, pages 54-70.
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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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MaxD. Morris. (2000) A Class of Three-Level Experimental Designs for Response Surface Modeling. Technometrics 42:2, pages 111-121.
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André I. Khuri. (1999) Discussion. Journal of Quality Technology 31:1, pages 58-60.
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Luzia A. Trinca & Steven G. Gilmour. (1998) Variance Dispersion Graphs for Comparing Blocked Response Surface Designs. Journal of Quality Technology 30:4, pages 314-327.
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Dae Heung Jang & Min Yoon. (1997) Graphical methods for evaluating ridge regression estimator in mixture experiments. Communications in Statistics - Simulation and Computation 26:3, pages 1049-1061.
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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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JohnJ. Borkowski. (1995) Spherical Prediction-Variance Properties of Central Composite and Box—Behnken Designs. Technometrics 37:4, pages 399-410.
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D. R. Jensen. (1995) C432. Efficiency comparisons of central composite designs. Journal of Statistical Computation and Simulation 52:2, pages 177-183.
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John J. Borkowski. (1995) Minimum, maximum, and average spherical prediction variances for central composite and box-behnken designs. Communications in Statistics - Theory and Methods 24:10, pages 2581-2600.
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John J. Borkowski. (1995) Finding maximum G-criterion values for central composite designs on the hypercube. Communications in Statistics - Theory and Methods 24:8, pages 2041-2058.
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A. I. Khuri. (1994) Effect of blocking on estimation of response surface. Journal of Applied Statistics 21:4, pages 305-316.
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Russell R. Barton & Lee W Schruben. (1994) Graphical methods for comparing confounding in two or more designs. Communications in Statistics - Simulation and Computation 23:4, pages 953-971.
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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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G. Geoffrey Vining. (1993) A Computer Program for Generating Variance Dispersion Graphs. Journal of Quality Technology 25:1, pages 45-58.
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Raymond H. Myers, G. Geoffrey Vining, Ann Giovannitti-Jensen & Sharon L. Myers. (1992) Variance Dispersion Properties of Second-Order Response Surface Designs. Journal of Quality Technology 24:1, pages 1-11.
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G. Geoffrey Vining & RaymondH. Myers. (1991) A Graphical Approach for Evaluating Response Surface Designs in Terms of the Mean Squared Error of Prediction. Technometrics 33:3, pages 315-326.
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WaiterH. Carter, VernonM. Chinchilli & EleanorD. Campbell. (1990) A Large-Sample Confidence Region Useful in Characterizing the Stationary Point of a Quadratic Response Surface. Technometrics 32:4, pages 425-435.
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