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Volumn 1, Issue , 2009, Pages 345-390

Response Surface Methodology

Author keywords

Blocking; Box Behnken design; Box Cox transformation; Canonical analysis; Central composite design; Confidence region; Design of experiments; Desirability; Doehlert design; Hybrid design; Least squares regression; Model validation; Optimality criteria; Pareto optimal front; Randomization; Response surface methodology; Ridge analysis

Indexed keywords


EID: 84882461162     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-044452701-1.00083-1     Document Type: Chapter
Times cited : (194)

References (59)
  • 1
    • 0002363078 scopus 로고
    • On the Experimental Attainment of Optimum Conditions
    • Box G.E.P., Wilson K.B. On the Experimental Attainment of Optimum Conditions. J. R. Stat. Soc. B 1951, 13:1-15.
    • (1951) J. R. Stat. Soc. B , vol.13 , pp. 1-15
    • Box, G.E.P.1    Wilson, K.B.2
  • 7
    • 0034187754 scopus 로고    scopus 로고
    • A Class of Three-Level Experimental Designs for Response Surface Modelling
    • Morris M.D. A Class of Three-Level Experimental Designs for Response Surface Modelling. Technometrics 2000, 42:111-121.
    • (2000) Technometrics , vol.42 , pp. 111-121
    • Morris, M.D.1
  • 8
    • 84882494458 scopus 로고    scopus 로고
    • Evaluating the Performance of Non-Standard Designs: The San Cristobal Design
    • World Scientific Publishing, Singapore, A.I. Khuri (Ed.)
    • Haines L.M. Evaluating the Performance of Non-Standard Designs: The San Cristobal Design. Response Surface Methodology and Related Topics 2006, World Scientific Publishing, Singapore. A.I. Khuri (Ed.).
    • (2006) Response Surface Methodology and Related Topics
    • Haines, L.M.1
  • 9
    • 0000532112 scopus 로고
    • Multi-Factor Experimental Designs for Exploring Response Surfaces
    • Box G.E.P., Hunter J.S. Multi-Factor Experimental Designs for Exploring Response Surfaces. Ann. Math. Stat. 1957, 72:195-241.
    • (1957) Ann. Math. Stat. , vol.72 , pp. 195-241
    • Box, G.E.P.1    Hunter, J.S.2
  • 10
    • 1042304031 scopus 로고    scopus 로고
    • Using a Genetic Algorithm to Generate Exact Small Response Surface Designs
    • Borkowski J.J. Using a Genetic Algorithm to Generate Exact Small Response Surface Designs. J. Prob. Stat. Sci. 2003, 1:65-88.
    • (2003) J. Prob. Stat. Sci. , vol.1 , pp. 65-88
    • Borkowski, J.J.1
  • 11
    • 84882485749 scopus 로고    scopus 로고
    • The Application of the Annealing Algorithm to the Construction of Exact Optimal Designs for Linear Regression Models
    • Haines L.M. The Application of the Annealing Algorithm to the Construction of Exact Optimal Designs for Linear Regression Models. Technometrics 2001, 29:468-477.
    • (2001) Technometrics , vol.29 , pp. 468-477
    • Haines, L.M.1
  • 13
    • 84882461599 scopus 로고
    • Contribution of Experimental Design Methodology to the Study of Structure-Activity Relations
    • Ph.D. thesis, University of Aix-Marseille, Marseille
    • Mathieu, D. Contribution of Experimental Design Methodology to the Study of Structure-Activity Relations. Ph.D. thesis, University of Aix-Marseille, Marseille, 1981.
    • (1981)
    • Mathieu, D.1
  • 14
    • 84882468557 scopus 로고
    • An Algorithm for the Construction of D-Optimal Experimental Designs
    • Mitchell T.J. An Algorithm for the Construction of D-Optimal Experimental Designs. Technometrics 1971, 13:731-742.
    • (1971) Technometrics , vol.13 , pp. 731-742
    • Mitchell, T.J.1
  • 15
    • 0000217549 scopus 로고
    • The Sequential Generation of D-Optimum Experimental Designs
    • Wynn H.P. The Sequential Generation of D-Optimum Experimental Designs. Ann. Math. Stat. 1970, 41:1644-1664.
    • (1970) Ann. Math. Stat. , vol.41 , pp. 1644-1664
    • Wynn, H.P.1
  • 17
    • 0023961060 scopus 로고
    • A Measure of Rotatability for Response Surface Designs
    • Khuri A.I. A Measure of Rotatability for Response Surface Designs. Technometrics 1988, 30:95-104.
    • (1988) Technometrics , vol.30 , pp. 95-104
    • Khuri, A.I.1
  • 18
  • 19
    • 0001138551 scopus 로고
    • A Measure of Rotatability for 2nd-Order Response Surface Designs
    • Park S.H., Lim J.H., Baba Y. A Measure of Rotatability for 2nd-Order Response Surface Designs. Ann Inst. Stat. Math. 1993, 45:655-664.
    • (1993) Ann Inst. Stat. Math. , vol.45 , pp. 655-664
    • Park, S.H.1    Lim, J.H.2    Baba, Y.3
  • 20
    • 1042280732 scopus 로고    scopus 로고
    • Fraction of Design Space to Assess Prediction Capability of Response Surface Designs
    • Zahran A., Anderson-Cook C.M., Myers R.H. Fraction of Design Space to Assess Prediction Capability of Response Surface Designs. J. Qual. Technol. 2003, 35:377-386.
    • (2003) J. Qual. Technol. , vol.35 , pp. 377-386
    • Zahran, A.1    Anderson-Cook, C.M.2    Myers, R.H.3
  • 21
    • 84968754944 scopus 로고    scopus 로고
    • Graphical Methods for Assessing the Prediction Capability of Response Surface Designs
    • World Scientific Publishing, Singapore, A.I. Khuri (Ed.)
    • Borkowski J.J. Graphical Methods for Assessing the Prediction Capability of Response Surface Designs. Response Surface Methodology and Related Topics 2006, World Scientific Publishing, Singapore. A.I. Khuri (Ed.).
    • (2006) Response Surface Methodology and Related Topics
    • Borkowski, J.J.1
  • 23
    • 84909574881 scopus 로고
    • A Basis for the Selection of a Response Surface Design
    • Box G.E.P., Draper N.R. A Basis for the Selection of a Response Surface Design. J. Am. Stat. Assoc. 1963, 54:622-654.
    • (1963) J. Am. Stat. Assoc. , vol.54 , pp. 622-654
    • Box, G.E.P.1    Draper, N.R.2
  • 28
    • 33748300569 scopus 로고    scopus 로고
    • Robust Regression Techniques. A Useful Alternative for the Detection of Outlier Data in Chemical Analysis
    • Ortiz M.C., Sarabia L., Herrero A. Robust Regression Techniques. A Useful Alternative for the Detection of Outlier Data in Chemical Analysis. Talanta 2006, 70:499-512.
    • (2006) Talanta , vol.70 , pp. 499-512
    • Ortiz, M.C.1    Sarabia, L.2    Herrero, A.3
  • 29
    • 0343794890 scopus 로고    scopus 로고
    • Approche méthodologique des surfaces de réponse
    • Technip, Paris, J.J. Droebeke, J. Fine, G. Saporta (Eds.)
    • Mathieu D., Phan-Tan-Luu R. Approche méthodologique des surfaces de réponse. Plans dexpérience 1997, Technip, Paris. J.J. Droebeke, J. Fine, G. Saporta (Eds.).
    • (1997) Plans dexpérience
    • Mathieu, D.1    Phan-Tan-Luu, R.2
  • 30
    • 0000495517 scopus 로고
    • Uniform Shell Designs
    • Doehlert D.H. Uniform Shell Designs. Appl. Stat. 1970, 19:231-239.
    • (1970) Appl. Stat. , vol.19 , pp. 231-239
    • Doehlert, D.H.1
  • 31
    • 0000553334 scopus 로고
    • Experimental Designs through Level Reduction of a D-Dimensional Cuboctahedron
    • Doehlert D.H., Klee V.L. Experimental Designs through Level Reduction of a D-Dimensional Cuboctahedron. Discrete Math. 1972, 2:309-334.
    • (1972) Discrete Math. , vol.2 , pp. 309-334
    • Doehlert, D.H.1    Klee, V.L.2
  • 34
    • 84946657020 scopus 로고
    • Some New Three Level Designs for the Study of Quantitative Variables
    • Box G.E.P., Behnken D.W. Some New Three Level Designs for the Study of Quantitative Variables. Technometrics 1960, 2:455-475.
    • (1960) Technometrics , vol.2 , pp. 455-475
    • Box, G.E.P.1    Behnken, D.W.2
  • 35
    • 0001068097 scopus 로고
    • Hybrid Designs for Quadratic Response Surfaces
    • Roquemore K.G. Hybrid Designs for Quadratic Response Surfaces. Technometrics 1976, 18:419-424.
    • (1976) Technometrics , vol.18 , pp. 419-424
    • Roquemore, K.G.1
  • 36
    • 84882559646 scopus 로고
    • Multicriteria Optimization and Methodology of Experimental Research
    • Ph.D. thesis, University of Aix-Marseille III, Marseille
    • Franquart, P. Multicriteria Optimization and Methodology of Experimental Research. Ph.D. thesis, University of Aix-Marseille III, Marseille, 1992.
    • (1992)
    • Franquart, P.1
  • 37
    • 84882556980 scopus 로고
    • Properties and Characteristics of Experimental Design Matrices for Second Degree Polynomial Models
    • Ph.D. thesis, University of Aix-Marseille III, Marseille
    • Peissik, A. Properties and Characteristics of Experimental Design Matrices for Second Degree Polynomial Models. Ph.D. thesis, University of Aix-Marseille III, Marseille, 1995.
    • (1995)
    • Peissik, A.1
  • 38
    • 0242321682 scopus 로고    scopus 로고
    • Optimisation Using a Surface Response Methodology of a System with Drift. Application to a Flow Analysis System with Electrochemical Detection
    • Rueda E., Sarabia L.A., Herrero A., Ortiz M.C. Optimisation Using a Surface Response Methodology of a System with Drift. Application to a Flow Analysis System with Electrochemical Detection. Anal. Chim. Acta 2003, 498:119-127.
    • (2003) Anal. Chim. Acta , vol.498 , pp. 119-127
    • Rueda, E.1    Sarabia, L.A.2    Herrero, A.3    Ortiz, M.C.4
  • 39
    • 34250698532 scopus 로고    scopus 로고
    • Multiresponse Optimization and Parallel Factor Analysis, Useful Tools in the Determination of Estrogens by Gas Chromatography-Mass Spectrometry
    • Arroyo D., Ortiz M.C., Sarabia L.A. Multiresponse Optimization and Parallel Factor Analysis, Useful Tools in the Determination of Estrogens by Gas Chromatography-Mass Spectrometry. J. Chromatogr. A 2007, 1157:358-368.
    • (2007) J. Chromatogr. A , vol.1157 , pp. 358-368
    • Arroyo, D.1    Ortiz, M.C.2    Sarabia, L.A.3
  • 40
    • 0033882183 scopus 로고    scopus 로고
    • An Algorithm for Arranging Response Surface Designs in Small Blocks
    • Trinca L.A., Gilmour S.G. An Algorithm for Arranging Response Surface Designs in Small Blocks. Comput. Stat. Data Anal. 2000, 33:25-43.
    • (2000) Comput. Stat. Data Anal. , vol.33 , pp. 25-43
    • Trinca, L.A.1    Gilmour, S.G.2
  • 41
    • 0003289229 scopus 로고
    • Optimum Solution to Many Variables Equations
    • Hoerl A.E. Optimum Solution to Many Variables Equations. Chem. Eng. Prog. 1959, 55:69-78.
    • (1959) Chem. Eng. Prog. , vol.55 , pp. 69-78
    • Hoerl, A.E.1
  • 42
    • 0005640167 scopus 로고
    • Ridge Analysis
    • Hoerl A.E. Ridge Analysis. Chem. Eng. Prog. 1964, 60:67-77.
    • (1964) Chem. Eng. Prog. , vol.60 , pp. 67-77
    • Hoerl, A.E.1
  • 43
    • 84946639489 scopus 로고
    • Ridge Analysis of Response Surfaces
    • Draper N.R. Ridge Analysis of Response Surfaces. Technometrics 1963, 5:469-479.
    • (1963) Technometrics , vol.5 , pp. 469-479
    • Draper, N.R.1
  • 44
    • 0037430154 scopus 로고    scopus 로고
    • Optimisation of a Flow Injection System with Electrochemical Detection using the Desirability Function. Application to the Determination of Hydroquinone in Cosmetics
    • Rueda E., Sarabia L.A., Herrero A., Ortiz M.C. Optimisation of a Flow Injection System with Electrochemical Detection using the Desirability Function. Application to the Determination of Hydroquinone in Cosmetics. Anal. Chim. Acta 2003, 479:173-184.
    • (2003) Anal. Chim. Acta , vol.479 , pp. 173-184
    • Rueda, E.1    Sarabia, L.A.2    Herrero, A.3    Ortiz, M.C.4
  • 45
    • 0344236212 scopus 로고    scopus 로고
    • Confidence Regions around the Ridge of Optimal Response on Fitted Second-Order Response Surfaces
    • Gilmour S.G., Draper N.R. Confidence Regions around the Ridge of Optimal Response on Fitted Second-Order Response Surfaces. Technometrics 2003, 45:333-339.
    • (2003) Technometrics , vol.45 , pp. 333-339
    • Gilmour, S.G.1    Draper, N.R.2
  • 46
    • 84968806826 scopus 로고    scopus 로고
    • Statistical Inference for Response Surface Optima
    • World Scientific, Singapore, A.I. Khuri (Ed.)
    • Lin D.K.J., Peterson J.J. Statistical Inference for Response Surface Optima. Response Surface Methodology and Related Topics 2006, World Scientific, Singapore. A.I. Khuri (Ed.).
    • (2006) Response Surface Methodology and Related Topics
    • Lin, D.K.J.1    Peterson, J.J.2
  • 47
    • 0001266945 scopus 로고
    • A Review of Response Surface Methodology: A Literature Survey
    • Hill W.J., Hunter W.G. A Review of Response Surface Methodology: A Literature Survey. Technometrics 1966, 8:571-590.
    • (1966) Technometrics , vol.8 , pp. 571-590
    • Hill, W.J.1    Hunter, W.G.2
  • 51
    • 2442447850 scopus 로고    scopus 로고
    • Optimization Methods in Multiresponse Methodology
    • Marcel Dekker, New York, S.H. Park, G.G. Vining (Eds.)
    • Khuri A.I., Valeroso E.S. Optimization Methods in Multiresponse Methodology. Statistical Process Monitoring and Optimization 2000, Marcel Dekker, New York. S.H. Park, G.G. Vining (Eds.).
    • (2000) Statistical Process Monitoring and Optimization
    • Khuri, A.I.1    Valeroso, E.S.2
  • 52
    • 0002718420 scopus 로고
    • Computer Graphics-Assisted Optimizations for Product and Process Development
    • Floros J.D., Chinnan M.S. Computer Graphics-Assisted Optimizations for Product and Process Development. Food Technol. 1988, 42:72-78.
    • (1988) Food Technol. , vol.42 , pp. 72-78
    • Floros, J.D.1    Chinnan, M.S.2
  • 53
    • 0000432952 scopus 로고
    • Simultaneous Optimization of Several Response Variables
    • Derringer G., Suich R. Simultaneous Optimization of Several Response Variables. J. Qual. Technol. 1980, 12:214-219.
    • (1980) J. Qual. Technol. , vol.12 , pp. 214-219
    • Derringer, G.1    Suich, R.2
  • 54
    • 33748325761 scopus 로고    scopus 로고
    • Vectorial Optimization as a Methodological Alternative to Desirability Function
    • Ortiz M.C., Sarabia L., Herrero A., Sánchez M.S. Vectorial Optimization as a Methodological Alternative to Desirability Function. Chemom. Intell. Lab. Syst. 2006, 83:157-168.
    • (2006) Chemom. Intell. Lab. Syst. , vol.83 , pp. 157-168
    • Ortiz, M.C.1    Sarabia, L.2    Herrero, A.3    Sánchez, M.S.4
  • 56
    • 84968813400 scopus 로고    scopus 로고
    • Generalized Linear Models and Response Transformation
    • World Scientific Publishing, Singapore, A.I. Khuri (Ed.)
    • Atkinson A.C. Generalized Linear Models and Response Transformation. Response Surface Methodology and Related Topics 2006, World Scientific Publishing, Singapore. A.I. Khuri (Ed.).
    • (2006) Response Surface Methodology and Related Topics
    • Atkinson, A.C.1
  • 57
    • 0003292556 scopus 로고
    • A Confidence Region for the Solution of a Set of Simultaneous Equations with an Application to Experimental Design
    • Box G.E.P., Hunter J.S. A Confidence Region for the Solution of a Set of Simultaneous Equations with an Application to Experimental Design. Biometrika 1954, 41:190-199.
    • (1954) Biometrika , vol.41 , pp. 190-199
    • Box, G.E.P.1    Hunter, J.S.2
  • 58
    • 0035646792 scopus 로고    scopus 로고
    • A Tool for Computing Confidence Regions on the Stationary Point of a Response Surface
    • del Castillo E., Cahya S. A Tool for Computing Confidence Regions on the Stationary Point of a Response Surface. Am. Stat. 2001, 55:358-365.
    • (2001) Am. Stat. , vol.55 , pp. 358-365
    • del Castillo, E.1    Cahya, S.2
  • 59
    • 0035989835 scopus 로고    scopus 로고
    • A General Approach to Confidence Regions for Optimal Factor Levels of Response Surfaces
    • Peterson J.J., Cahya S., del Castillo E. A General Approach to Confidence Regions for Optimal Factor Levels of Response Surfaces. Biometrics 2002, 58:422-431.
    • (2002) Biometrics , vol.58 , pp. 422-431
    • Peterson, J.J.1    Cahya, S.2    del Castillo, E.3


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