A Review of Response Surface Methodology: A Literature Survey*

Response surface methodology, an experimental strategy initially developed and described by Box and Wilson, has been employed with considerable success in a wide variety of situations, especially in the fields of chemistry and chemical engineering. It is the purpose of this paper to review the literature of response surface methodology, emphasizing especially the practical applications of the method. A comprehensive bibliography is included.

[1]  H. Bolker.  Delignification by Nitrogen Compounds. Action of Nitrous Acid on Unbleached Sulfate Pulp , 1965 .

[2]  H. P. Hermanson.  Maximization of Potato Yield Under Constraint 1 , 1965 .

[3]  S. M. Wu,et al.  A First-Order Five-Variable Cutting-Tool Temperature Equation and Chip Equivalent , 1964 .

[4]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[5]  S. M. Wu.  Tool-Life Testing by Response Surface Methodology—Part 2 , 1964 .

[6]  R. N. Meyer,et al.  Cutting-Tool Temperature-Predicting Equation by Response-Surface Methodology , 1964 .

[7]  S. M. Wu,et al.  Tool-Life Testing by Response Surface Methodology—Part 1 , 1964 .

[8]  Agnes M. Herzberg.  Two Third Order Rotatable Designs in Four Dimensions , 1964 .

[9]  C. Swanson,et al.  Xanthation of Starch by Continuous Process , 1964 .

[10]  Oxidative Dealkylation of Alkylaromatic Hydrocarbons. Selective Vapor-Phase Catalytic Oxidation of Alkylaromatic Hydrocarbons to Their Parent Homologs , 1964 .

[11]  C. E. Gates,et al.  An Agronomically Useful Three-Factor Response Surface Design Based on Dodecahedron Symmetry 1 , 1964 .

[12]  G. Box,et al.  THE CHOICE OF A SECOND ORDER ROTATABLE DESIGN , 1963 .

[13]  P. J. Pengilly,et al.  Maximum Yield for Specified Cost , 1963 .

[14]  Norman R. Draper,et al.  "RIDGE ANALYSIS" OF RESPONSE SURFACES , 1963 .

[15]  J. Berry,et al.  Starch Vinylation. Determination of Optimum Conditions by Response to Surface Designs , 1963 .

[16]  H. Smith,et al.  SUBJECTIVE RESPONSES IN PROCESS INVESTIGATION , 1963 .

[17]  D. L. Meyer.  RESPONSE SURFACE METHODOLOGY IN EDUCATION AND PSYCHOLOGY , 1963 .

[18]  M. N. Das,et al.  On Construction of Second Order Rotatable Designs Through Balanced Incomplete Block Designs with Blocks of Unequal Sizes , 1963 .

[19]  C. J. Norton,et al.  Oxidative Dealkylation of Alkylaromatic Hydrocarbons. Naphthalene as Product in Vapor-Phase Air Oxidations of Monomethylnaphthalenes and Dimethylnaphthalenes over Vanadia , 1963 .

[20]  W. E. Adams,et al.  Yield Response Surfaces, Isoquants, and Economic Fertilizer Optima for Coastal Bermudagrass1 , 1963 .

[21]  M. N. Das,et al.  Construction of Rotatable Designs Through Balanced Incomplete Block Designs , 1962 .

[22]  Norman R. Draper,et al.  Third Order Rotatable Designs in Three Factors: Analysis' , 1962 .

[23]  W. Chow.  A Note on the Calculation of Certain Constrained Maxima , 1962 .

[24]  D. Himmelblau,et al.  Optimization of Operating Conditions in a Packed Liquid-Liquid Extraction Column , 1962 .

[25]  H. R. Vaart.  ON CERTAIN CHARACTERISTICS OF THE DISTRIBUTION OF THE LATENT ROOTS OF A SYMMETRIC RANDOM MATRIX UNDER GENERAL CONDITIONS , 1961 .

[26]  N. Draper.  Third Order Rotatable Designs in Three Dimensions: Some Specific Designs , 1961 .

[27]  Process Improvement of a Fermentation Product , 1961 .

[28]  Norman R. Drapery.  Missing Values in Response Surface Designs , 1961 .

[29]  Samuel H. Brooks,et al.  Optimum Estimation of Gradient Direction in Steepest Ascent Experiments , 1961 .

[30]  Richard W. Mooney,et al.  Precipitating Stoichiometric CaHPO4.2H2O , 1961 .

[31]  D. A. Gardiner,et al.  Optimization of radionuclide removal from low-level process wastes by the use of response surface methods. , 1961, Health physics.

[32]  Norman R. Draper,et al.  Third Order Rotatable Designs in Three Dimensions , 1960 .

[33]  George E. P. Box,et al.  Simplex-Sum Designs: A Class of Second Order Rotatable Designs Derivable From Those of First Order , 1960 .

[34]  Norman R. Draper,et al.  A Third Order Rotatable Design in Four Dimensions , 1960 .

[35]  R. E. Franklin,et al.  Maximum Data through a Statistical Design , 1960 .

[36]  G. Box,et al.  Some New Three Level Designs for the Study of Quantitative Variables , 1960 .

[37]  K. F. Nielsen,et al.  COMPOSITE DESIGNS IN AGRICULTURAL RESEARCH , 1960 .

[38]  M. Miller,et al.  The influence of fertilizer placement and rate of nitrogen on fertilizer phosphorus utilization by oats as studied using a central composite design. , 1960 .

[39]  A. E. Hoerl.  Statistical Analysis of an Industrial Production Problem , 1960 .

[40]  F. Sheldon.  Statistical Techniques Applied to Production Situations , 1960 .

[41]  Herbert Grohskopf.  Statistics in the Chemical Process Industries—Present and Future , 1960 .

[42]  Paul Tidwell.  Chemical Process Improvement by Response Surface Methods. A Case History , 1960 .

[43]  O. Dykstra,et al.  Partial Duplication of Response Surface Designs , 1960 .

[44]  Richard W. Mooney,et al.  Predicting Chemical Composition in Precipitation of Calcium Hydrogen Orthophosphate , 1960 .

[45]  N. L. Carr.  Kinetics of Catalytic Isomerization of n-Pentane , 1960 .

[46]  Norman R. Draper,et al.  Second Order Rotatable Designs in Four or More Dimensions , 1960 .

[47]  George E. P. Box.  Some General Considerations in Process Optimization , 1960 .

[48]  Hubert M. Hilly.  Experimental Designs to Adjust for Time Trends , 1960 .

[49]  R. C. Bose,et al.  Second Order Rotatable Designs in Three Dimensions , 1959 .

[50]  H. O. Hartley,et al.  Smallest Composite Designs for Quadratic Response Surfaces , 1959 .

[51]  R. J. Hader,et al.  Third Order Rotatable Designs for Exploring Response Surfaces , 1959 .

[52]  R. C. Bose,et al.  Complex Representation in the Construction of Rotatable Designs , 1959 .

[53]  G. Box,et al.  A Basis for the Selection of a Response Surface Design , 1959 .

[54]  A. Umland,et al.  The Use of LaGrange Multipliers with Response Surfaces , 1959 .

[55]  D. D. Mason,et al.  Multi‐variable Equations Describing Fertility‐Corn Yield Response Surfaces and Their Agronomic and Economic Interpretation1 , 1959 .

[56]  O. Dykstra,et al.  Partial Duplication of Factorial Experiments , 1959 .

[57]  R. Baun,et al.  Response Surface Designs for Three Factors at Three Levels , 1959 .

[58]  D. L. Wallace.  Intersection Region Confidence Procedures with an Application to the Location of the Maximum in Quadratic Regression , 1958 .

[59]  Van Der Vaart.  On certain types of bias in current methods of response surface estimation , 1958 .

[60]  P. Pinchbeck.  The kinetic implications of an empirically fitted yield surface for the vapour-phase oxidation of naphthalene to phthalic anhydride , 1957 .

[61]  D. D. Mason,et al.  An Investigation of Some of the Relationships between Copper, Iron, and Molybdenum in the Growth and Nutrition of Lettuce: I. Experimental Design and Statistical Methods for Characterizing the Response Surface1, 2 , 1957 .

[62]  J. S. Hunter,et al.  MULTIFACTOR EXPERIMENTAL DESIGN FOR EXPLORING THE RESPONSE SURFACES , 1957 .

[63]  D. D. Mason,et al.  An Investigation of Some of the Relationships between Copper, Iron, and Molybdenum in the Growth and Nutrition of Lettuce: II. Response Surfaces of Growth and Accumulations of Cu and Fe , 1957 .

[64]  George E. P. Box,et al.  Application of digital computers in the exploration of functional relationships , 1956 .

[65]  R. M. DeBaun,et al.  Block Effects in the Determination of Optimum Conditions , 1956 .

[66]  R. J. Hader,et al.  Effect of Raw‐Material Ratios on Absorption of Whiteware Compositions , 1956 .

[67]  G. Box,et al.  The Exploration and Exploitation of Response Surfaces: An Example of the Link between the Fitted Surface and the Basic Mechanism of the System , 1955 .

[68]  R. G. Cragle,et al.  The Effects of Various Levels of Sodium Citrate, Glycerol, and Equilibration Time on Survival of Bovine Spermatozoa after Storage at −79° C , 1955 .

[69]  O. L. Davies,et al.  Design and analysis of industrial experiments , 1954 .

[70]  George E. P. Box,et al.  A CONFIDENCE REGION FOR THE SOLUTION OF A SET OF SIMULTANEOUS EQUATIONS WITH AN APPLICATION TO EXPERIMENTAL DESIGN , 1954 .

[71]  G. Box,et al.  On the Experimental Attainment of Optimum Conditions , 1951 .

[72]  William G. Cochran,et al.  Experimental Designs, 2nd Edition , 1950 .