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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 16, 1984 - Issue 2
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Articles

Experiments with Mixtures, Ill-Conditioning, and Ridge Regression

Pages 81-96 | Published online: 22 Feb 2018

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Read on this site (19)

Greg F. Piepel, Dayton C. Hoffmann & Scott K. Cooley. (2021) Slack-variable models versus component-proportion models for mixture experiments: Literature review, evaluations, and recommendations. Quality Engineering 33:2, pages 221-239.
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Paul Kristoffersen & Byran J. Smucker. (2020) Model-robust design of mixture experiments. Quality Engineering 32:4, pages 663-675.
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Lulu Kang, Javier Cruz Salgado & William A. Brenneman. (2016) Comparing the Slack-Variable Mixture Model With Other Alternatives. Technometrics 58:2, pages 255-268.
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Kadri Ulas Akay. (2014) A graphical evaluation of logistic ridge estimator in mixture experiments. Journal of Applied Statistics 41:6, pages 1217-1232.
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Kadri Ulas Akay & Müjgan Tez. (2011) Alternative modeling techniques for the quantal response data in mixture experiments. Journal of Applied Statistics 38:11, pages 2597-2616.
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Narinder Singh Sahni, Greg F. Piepel & Tormod Næs. (2009) Product and Process Improvement Using Mixture-Process Variable Methods and Robust Optimization Techniques. Journal of Quality Technology 41:2, pages 181-197.
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John A. Cornell & John W. Gorman. (2003) Two New Mixture Models: Living with Collinearity but Removing its Influence. Journal of Quality Technology 35:1, pages 78-88.
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P Prescott, A. M Dean, N. R Draper & S M Lewis. (2002) Mixture Experiments: ILL-Conditioning and Quadratic Model Specification. Technometrics 44:3, pages 260-268.
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Greg F. Piepel, Jeff M. Szychowski & Jason L. Loeppky. (2002) Augmenting Scheffé Linear Mixture Models with Squared and/or Crossproduct Terms. Journal of Quality Technology 34:3, pages 297-314.
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John A. Cornell. (2000) Developing mixture models, are we done. Journal of Statistical Computation and Simulation 66:2, pages 127-144.
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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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Gregory F. Piepel. (1997) Survey of Software with Mixture Experiment Capabilities. Journal of Quality Technology 29:1, pages 76-85.
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JULIEA. HEINSMAN & DOUGLASC. MONTGOMERY. (1995) OPTIMIZATION OF A HOUSEHOLD PRODUCT FORMULATION USING A MIXTURE EXPERIMENT. Quality Engineering 7:3, pages 583-600.
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JOHN. A Cornell. (1991) Mixture designs for product improvement studies. Communications in Statistics - Theory and Methods 20:2, pages 391-416.
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George F. Koons. (1989) Effect of Sinter Composition on Emissions: A Multi-Component, Highly-Constrained Mixture Experiment. Journal of Quality Technology 21:4, pages 261-267.
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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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Veronica Czitrom. (1989) Experimental design for four mixture components with process variables. Communications in Statistics - Theory and Methods 18:12, pages 4561-4581.
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Veronica Czitrom. (1988) Mixture experiments with process variables: d-optimal orthogonal experimental designs. Communications in Statistics - Theory and Methods 17:1, pages 105-121.
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RogerW. Hoerl. (1987) The Application of Ridge Techniques to Mixture Data: Ridge Analysis. Technometrics 29:2, pages 161-172.
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Articles from other publishers (34)

Javier Cruz-Salgado, Sergio Alonso Romero, Edgar Ruelas-Santoyo, Roxana Zaricell Bautista López & Sergio Álvarez-Rodríguez. (2023) Slack-variable model in mixture experimental design applied to wood plastic composite. Journal of King Saud University - Engineering Sciences 35:2, pages 110-115.
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Fatemeh Amir Aslanzadeh Mamaghani, Amin Salem & Shiva Salem. (2022) Pilot plant study for management of toxic solid waste collected in landfill of spent lubricant oil refinery by conversion into zeolite packed bed via continuous extrusion and fusion techniques. Process Safety and Environmental Protection 159, pages 500-510.
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Fatemeh Paziresh, Amin Salem & Shiva Salem. (2021) Super effective recovery of industrial wastewater contaminated by multi-disperse dyes through hydroxyapatite produced from eggshell. Sustainable Chemistry and Pharmacy 23, pages 100501.
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Solmaz Pourrahim, Amin Salem, Shiva Salem & Reza Tavangar. (2020) Application of solid waste of ductile cast iron industry for treatment of wastewater contaminated by reactive blue dye via appropriate nano-porous magnesium oxide. Environmental Pollution 256, pages 113454.
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Hooman Shabanzade, Amin Salem & Shiva Salem. (2019) Efficient removal of contaminants from waste lubricant oil by nano-porous bentonite produced via microwave-assisted rapid activation: process identifications and optimization. Environmental Science and Pollution Research 26:23, pages 23257-23267.
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Zahra Teimouri, Amin Salem & Shiva Salem. (2019) Microwave-assisted for clean and rapid fabrication of highly efficient magnetically separable activated carbon from agriculture shells for low grade industrial corn syrup decoloration: A novel strategy for impregnation of ternary catalytic composite. Food and Bioproducts Processing 116, pages 78-88.
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Orkun COŞKUNTUNCEL. (2018) Bounded-Influence Regression Estimation for Mixture Experiments. Mersin Üniversitesi Eğitim Fakültesi Dergisi, pages 1020-1037.
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Hooman Shabanzade, Amin Salem & Shiva Salem. (2018) Management of adsorbent content in waste motor oil regeneration by spectrophotometrical study and effective acidification in production of nano-porous clay. Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 202, pages 214-221.
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Shiva Salem, Amin Salem, Mohammad Hosein Parni & Abbas Jafarizad. (2018) Facile and rapid auto-combustion synthesis of nano-porous γ-Al2O3 by application of hexamethylenetetramine in fuel composition. Journal of Physics and Chemistry of Solids 117, pages 86-93.
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Tao Wang & Hongyu Zhao. (2017) Structured subcomposition selection in regression and its application to microbiome data analysis. The Annals of Applied Statistics 11:2.
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Shiva Salem & Amin Salem. (2017) A novel design for clean and economical manufacturing new nano-porous zeolite based adsorbent by alkali cement kiln dust for lead uptake from wastewater. Journal of Cleaner Production 143, pages 440-451.
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K. Mokhtari & Sh. Salem. (2017) A novel method for the clean synthesis of nano-sized cobalt based blue pigments. RSC Advances 7:47, pages 29899-29908.
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Shiva Salem & Saeid Jafarzadeh-Ghoushchi. (2016) Estimation of optimal physico-chemical characteristics of nano-sized inorganic blue pigment by combined artificial neural network and response surface methodology. Chemometrics and Intelligent Laboratory Systems 159, pages 80-88.
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Javier Cruz-Salgado. (2016) Comparing the Intercept Mixture Model with the Slack-Variable Mixture Model. Ingeniería, Investigación y Tecnología 17:3, pages 383-393.
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Amin Salem. (2016) RELATIONSHIP BETWEEN POWDER COMPOSITION AND SINGLE SCREW EXTRUSION FOR MANUFACTURING RELIABLE RANDOM CERAMIC PACKED BED ACCORDING STATISTICAL APPROACH. Ceramics - Silikaty, pages 48-57.
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Cruz-Salgado Javier. (2015) Selecting the Slack Variable in Mixture Experiment. Ingeniería, Investigación y Tecnología 16:4, pages 613-623.
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Chatree Homkhiew, Thanate Ratanawilai & Wiriya Thongruang. (2013) Minimizing the creep of recycled polypropylene/rubberwood flour composites with mixture design experiments. Journal of Composite Materials 49:1, pages 17-26.
Crossref
John A. Cornell. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Ali Erkoc, Esra Emiroglu & Kadri Ulas Akay. (2014) Graphical Evaluation of the Ridge-Type Robust Regression Estimators in Mixture Experiments. The Scientific World Journal 2014, pages 1-9.
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Chatree Homkhiew, Thanate Ratanawilai & Wiriya Thongruang. (2014) The optimal formulation of recycled polypropylene/rubberwood flour composites from experiments with mixture design. Composites Part B: Engineering 56, pages 350-357.
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Chatree Homkhiew, Thanate Ratanawilai & Wiriya Thongruang. (2013) Optimal Formulation of Recycled Polypropylene/Rubberwood Flour Composites on Hardness Property. Applied Mechanics and Materials 368-370, pages 785-790.
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A. Salem & R. Akbari Sene. (2012) Optimization of zeolite-based adsorbent composition for fabricating reliable Raschig ring shaped by extrusion using Weibull statistical theory. Microporous and Mesoporous Materials 163, pages 65-75.
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A. Salem & S. Aghahosseini. (2012) Determination of fluxing agents mixing ratio for enhancing thermal shock resistance of ceramic Raschig ring via a systematic approach. Thermochimica Acta 545, pages 57-66.
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A. Salem, H. Afshin & H. Behsaz. (2012) Removal of lead by using Raschig rings manufactured with mixture of cement kiln dust, zeolite and bentonite. Journal of Hazardous Materials 223-224, pages 13-23.
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Yunes Beygi Khosrowshahi & Amin Salem. (2011) Influence of Polyvinyl Alcohol and Carboxymethyl Cellulose on the Reliability of Extruded Ceramic Body: Application of Mixture Design Method in Fabricating Reliable Ceramic Raschig Rings. International Journal of Applied Ceramic Technology 8:6, pages 1334-1343.
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A. Salem & R. Akbari Sene. (2011) Removal of lead from solution by combination of natural zeolite–kaolin–bentonite as a new low-cost adsorbent. Chemical Engineering Journal 174:2-3, pages 619-628.
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John A. Cornell. 2011. A Primer on Experiments with Mixtures. A Primer on Experiments with Mixtures 299 315 .
John A. Cornell. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences 1 13 .
John Cornell. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Gunvor Irene Dingstad, Frank Westad & Tormod Næs. (2004) Three case studies illustrating the properties of ordinary and partial least squares regression in different mixture models. Chemometrics and Intelligent Laboratory Systems 71:1, pages 33-45.
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John A. Cornell. 2002. Experiments with Mixtures. Experiments with Mixtures 438 520 .
John A. Cornell. 2002. Experiments with Mixtures. Experiments with Mixtures 589 603 .
B Campisi, D Vojnovic, D Chicco & R Phan-Tan-Luu. (1999) Melt granulation in a high shear mixer: optimization of mixture and process variables using a combined experimental design. Chemometrics and Intelligent Laboratory Systems 48:1, pages 59-70.
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J.H. Randall & A.A. Rayner. (1990) The accuracy of least squares calculations with the Cholesky algorithm. Linear Algebra and its Applications 127, pages 463-502.
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