References
- Altekar , M. 1991 . “ Ill-conditioning in mixture experiments ” . In 1991 Proceedings of the Section on Quality and Productivity , 28 – 31 . Alexandria, Virginia : American Statistical Association .
- Andere-Rendon , J. , Montgomery , D.C. and Rollier , D.A. 1997 . Design of mixture experiments using Bayesian D-optimality . Journal of Quality Technology , 29 : 451 – 463 .
- Anderson , M.J. and Whitcomb , P.J. 1996 . Optimization of paint formulations made easy with computer-aided design of experiments for mixtures . Journal of Coatings Technology , 68 : 71 – 75 .
- Chan , L.Y. , Guan , Y.N. and Zhang , C.Q. 1998 . A-optimal designs for an additive quadratic mixture mode . Statistica Sinica , 8 : 976 – 990 .
- Claringbold , P.J. 1955 . Use of the simplex design in the study of the joint action of related hormones . Biometrics , 11 : 174 – 185 .
- Chen , J.J. , Li , L.-A. and Jackson , C.D. 1996 . Analysis of quantal response data from mixture experiments . Environmetrics , 7 : 503 – 512 .
- Cornell , J.A. 1971 . Process variables in the mixture problem for categotized components . Journal of the American Statistical Association , 66 : 42 – 48 .
- Cornell , J.A. 1990a . Experiments with Mixtures Designs, Models and the Analysis of Mixture Data , New York : John Wiley & Sons .
- Cornell , J.A. 1990b . “ The ASQC Basic References in Quality Control: Statistical Techniques ” . In How to Run Mixture Experiments for Product Quality , Vol. 5 , Milwaukee, WI : American Society for Quality Control .
- Cornell , J.A. 1990c . Embedding mixture experiments inside factorial experiments . Journal of Quulity Technology , 22 : 265 – 276 .
- Cornell , J.A. 1990d . “ Mixture experiments ” . In Statistical Design and Analysis of Industrial Experiments , Edited by: Subir , Ghosh. 175 – 209 . New York : Marcel Dekker . Chapter 7
- Cornell , J.A. 1991a . Mixture designs for product improvement . Communications in Statistics - Theory and Methods , 20 : 391 – 416 .
- Cornell , J.A. 1991b . The fitting of Scheffé-type models for estimating solubilities of multisolvent systems . Journal of Biopharmaceutical Statistics , 1 : 303 – 329 .
- Cornell , J.A. 1993 . Saving money with a mixture experiment . ASQC Statistics Division Newsletter , 14 : 11 – 12 .
- Cornell , J.A. 1995 . Fitting models to data from mixture experiments containing other factors . Journal of Quality Technology , 27 : 13 – 33 .
- Cornell , J.A. and Linda , S.B. 1991 . “ Models and designs for experiments with mixtures, Part I: Exploring the whole simplex region ” . In Agricultural Experiment Station Bulletin 879 , Gainesviile, FL : University of Florida . Institute of Food and Agricultural Science, 32611
- Cornell , J.A. and Harrison , J.M. 1997 . “ Models and Designs for Experiments with Mixtures, Part II: Exploring a subregion of the simplex and the inclusion of other factors in mixture experiments ” . In Agriculture Experiment Station Technical Bulletin 899 , Gainesville, FL : University of Florida . Institute of Food and Agriculture Sciences, 32611
- Cornell , J.A. and Ramsey , P.J. 1998 . A generalized mixture model for categorized-component problems with an application to a photoresist-coating experiment . Technometrics , 40 : 48 – 61 .
- Crosier , R.B. 1991 . Symmetry in mixture experiments . Communications k Statistics-Theory and Methods , 20 : 1911 – 1935 .
- Czitrom , V. 1989 . Experimental design for four mixture components with process variables . Communications in Statistics-Theory and Methods , 18 : 4561 – 4581 .
- Czitrom , V. 1992 . Note on a mixture experiment with process variables . Communications in Statistics Part B: Simulation and Computation , 21 : 493 – 498 .
- Darroch , J.N. and Waller , J. 1985 . Additivity and interaction in three-component experiments with mixtures . Biometrika , 72 : 153 – 163 .
- Derringer , G.C. 1994 . A balancing act: optimizing a product’s properties . Quality Progress , 27 : 51 – 58 .
- Donev , A.N. 1989 . Design of Experiments with Both Mixture and Qualitative Factors . Journal of the Royal Statistical Society , B51 : 297 – 302 .
- Draper , N.R. , Prescott , P. , Lewis , S.M. , Dean , A.M. , John , P.W.M. and Tuck , M.G. 1993 . Mixture designs for four components in orthogonal blocks . Technometrics , 35 : 268 – 276 . Correction in Technometrics, 36, 234 (1994)
- Duineveld , C.A.A. , Smilde , A.K. and Doornbos , D.A. 1993 . Comparison of experimental designs combining process and mixture variables. Parts I and II. Design construction and theoretical evaluation . Chemometrics and Intelligent Laboratory Systems , 19 : 295 – 308 .
- Heinsman , J.A. and Montgomery , D.C. 1995 . Optimization of a household product formulation using a mixture experiment . Quality Engineering , 7 : 583 – 599 .
- Hilgers , R.D. and Bauer , P. 1995 . Optimal designs for mixture amount experiments . Journal of Statistical Planning and Inference , 48 : 241 – 246 .
- Khuri , A.L. , Harrison , J.J. and Cornell , J.A. 1999 . Using quantile plots of the prediction variance for comparing designs for a constrained mixture region: An application involving a fertilizer experiment . Applied Statistics , C49 : 1 – 12 .
- Koons , G.F. 1989 . Effect of sinter composition on emissions: a multi-components, highly-constrained mixture experiment . Journal of Quality Technology , 21 : 261 – 267 .
- Lambrakis , D.P. 1969 . Experiments with mixtures: An alternative to the simplex-lattice design . Journal of the Royal Statistical Society , B31 : 234 – 245 .
- Lewis , S.M. , Dean , A.M. , Draper , N.R. and Prescott , P. 1994 . Mixture designs for q components in orthogonal blocks . Journal of the Royal Statistical Society , B56 : 457 – 467 .
- Lim , Y.B. 1990 . D-optimal design for cubic polynomial regression on the q-simplex . Journal of Statistical Planning and Inference , 25 : 141 – 152 .
- McLaren , R.A. and Anderson , V.L. 1966 . Extreme vertices design of mixture experiments . Technometrics , 8 : 447 – 454 .
- Mikaeili , F. 1989 . D-optimum design for cubic without 3-way effect on the simplex . Journal of Statistical Planning and Inference , 21 : 107 – 115 .
- Mikaeili , F. 1993 . D-optimum design for full cubic on qsimplex . Journal of Statistical Planning and Inference , 35 : 121 – 130 .
- Montgomery , D.C. and Voth , S.M. 1994 . Multicollinearity and leverage in mixture experiments . Journal of ality Technology , 26 : 96 – 108 .
- Moorthy , M.S. and Murty , J.S. 1989 . Restricted region designs for multifactor mixture experiments . Communications in Statistics-Theory and Methods , 18 : 1279 – 1295 .
- Moorthy , M.S.R. and Murty , J.S. 1993 . Block designs for mixture experiments . Journal of the Indian Society of Agricultural Statistics , 44 : 55 – 71 .
- Myers , R.H. 1999 . Response surface methodology-Current status and future directions . Journal of Quality Technology , 31 : 30 – 44 .
- Myers , W.R. , Myers , R.H. , Carter , W.H. Jr and White , K.L. 1996 . Two stage designs for the logistic regression model in single agent bioassay . Journal of Biopharmaceutical Statistics , 9 : 121 – 128 .
- Piepel , G.F. 1982 . Measuring component effects in constrained mixture experiments . Technometrics , 24 : 29 – 39 .
- Piepel , G.F. 1990 . Screening designs for constrained mixture experiments derived from classical screening designs . Journal of Quality Technology , 22 : 23 – 33 .
- Piepel , G.F. 1991 . Screening designs for constrained mixture expjments derived from classical screening designs – an addendum . Journal of Quality Technology , 23 : 96 – 101 .
- Piepel , G.F. 1997 . Survey of software with mixture experiment capabilities . Journal of Quality Technology , 29 : 76 – 85 .
- Piepel , G.F. , Anderson , C.M. and Redgate , P.E. 1993 . “ Variance dispersion graphs for designs on polyhedral regions-revisited ” . In 1993 Proceedings of the Section on Physical and Engineerfng Sciences , 102 – 107 . Alexandria, Virginia : American Statistical Association .
- Piepel , G.F. and Cornell , J.A. 1994 . Mixture experiment approaches: examples, discussion and recommendations . Journal of Quality Technology , 26 : 177 – 196 .
- Piepel , G.F. , Mellinger , G.B. and Reimus , M.A.H. 1989 . A statistical approach for characterizing chemical durability within a waste glass wmpositional region . Waste Management , 9 : 3 – 11 .
- Piepel , G.F. and Redgate , T. 1998 . A mixture experiment analysis of the Hald cement data . The American Statistician , 52 : 23 – 30 .
- Piepel , G.F. and Shade , J.W. 1992 . In-situ vitrification and the effects of soil additivies – a mixture experiment case study . Journal of the American Ceramic Society , 75 : 112 – 116 .
- Prescott , P. , Draper , N.R. , Dean , A.M. and Lewis , S.M. 1993 . Mixture designs for five components in orthogonal blocks . Journal of Applied Statistics , 20 : 105 – 117 .
- Scheffé , H. 1958 . Experiments with mixtures . Journal of the Royal Statistical Society , B20 : 344 – 360 .
- Scheffé , H. 1963 . The simplex-centroid design for experiments with mixtures (with discussion) . Journal of the Royal Statistical Society , B25 : 235 – 263 .
- Smith , W.F. and Beverly , T.A. 1997 . Generating linear and quadratic Cox mixture models . Journal of Quality Technology , 29 : 211 – 224 .
- Smith , W.F. and Cornell , J.A. 1993 . Biplot displays for looking at multiple response data in mixture experiments . Technometrics , 35 : 337 – 350 .
- Snee , R.D. 1979 . Experimental designs for mixture systems with multi-component constraints . Communications in Statistics, Theory and Methods , A8 : 303 – 326 .
- Snee , R.D. and Marquardt , D.W. 1976 . Screening concepts and designs for experiments with mixtures . Technometrics , 18 : 19 – 29 .
- John , R.C. 1984 . Experiments with mixtures, ill-conditioning, and ridge regression . Journal of Quality Technology , 16 : 81 – 96 .
- Steiner , S.H. and Hamada , M. 1997 . Making mixtures robust to noise and mixing measurement errors . Journal of Quality Technology , 29 : 441 – 450 .
- Thompson , W.O. and Myers , R.H. 1968 . Response surface designs for experiments with mixtures . Technometrics , 10 : 739 – 756 .
- Vining , G.G. , Cornell , J.A. and Myers , R.H. 1993 . A graphical approach for evaluating mixture designs . Applied Statistics , 42 : 127 – 138 .