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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 14, 1982 - Issue 2
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Articles

Assessing the Accuracy of Mixture Model Regression Calculations

Ronald D. SneeEngineering Department, E. I. du Pont de Nemours and Company, Wilmington, Delaware19898View further author information
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Arthur A. RaynerDepartment of Statistics and Biometry, University of Natal, Pietermaritzburg, 3200South AfricaView further author information
Pages 67-79 | Published online: 22 Feb 2018

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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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Sumin Shen, Lulu Kang & Xinwei Deng. (2020) Additive Heredity Model for the Analysis of Mixture-of-Mixtures Experiments. Technometrics 62:2, pages 265-276.
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JohnA. Cornell. (2011) A Retrospective View of Mixture Experiments. Quality Engineering 23:4, pages 315-331.
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GregF. Piepel & SamanthaM. Landmesser. (2009) Mixture Experiment Alternatives to the Slack Variable Approach. Quality Engineering 21:3, pages 262-276.
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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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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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John A. Cornell. (2000) Fitting a Slack-Variable Model to Mixture Data: Some Questions Raised. Journal of Quality Technology 32:2, pages 133-147.
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Gregory F. Piepel & John A. Cornell. (1994) Mixture Experiment Approaches: Examples, Discussion, and Recommendations. Journal of Quality Technology 26:3, pages 177-196.
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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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RonaldB. Crosier. (1986) The Geometry of Constrained Mixture Experiments. Technometrics 28:2, pages 95-102.
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RonaldB. Crosier. (1984) Mixture Experiments: Geometry and Pseudocomponents. Technometrics 26:3, pages 209-216.
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RonaldD. Snee & DonaldW. Marquardt. (1984) Comment. The American Statistician 38:2, pages 83-87.
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Ralph C. St. John. (1984) Experiments with Mixtures, Ill-Conditioning, and Ridge Regression. Journal of Quality Technology 16:2, pages 81-96.
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John A. Cornell & John W. Gorman. (1984) Fractional Design Plans for Process Variables in Mixture Experiments. Journal of Quality Technology 16:1, pages 20-38.
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RonaldD. Snee. (1983) Discussion. Technometrics 25:3, pages 230-237.
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Ronald D. Snee. (1983) Regression Diagnostics: Identifying Influential Data and Sources of Collinearity. Journal of Quality Technology 15:3, pages 149-153.
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Articles from other publishers (23)

Matheus Julien Ferreira Bazzana, Adelir Aparecida Saczk, Letícia Rodrigues Faria, João Pedro Campos, Nadja Gomes Alves & Cleber Nogueira Borges. (2020) Moore–Penrose generalized inverse mixture design applied in low‐density dispersive liquid–liquid microextraction. Journal of Chemometrics 34:12.
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Krishan Lal, Upendra Kumar Pradhan & V. K. Gupta. 2020. Statistical Methods and Applications in Forestry and Environmental Sciences. Statistical Methods and Applications in Forestry and Environmental Sciences 193 212 .
Cruz-Salgado Javier. (2015) Selecting the Slack Variable in Mixture Experiment. Ingeniería, Investigación y Tecnología 16:4, pages 613-623.
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John A. Cornell. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Wanida Limmun, John J. Borkowski & Boonorm Chomtee. (2012) Using a Genetic Algorithm to Generate D‐optimal Designs for Mixture Experiments. Quality and Reliability Engineering International 29:7, pages 1055-1068.
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Byung Rae Cho & Sangmun Shin. (2012) Quality Improvement and Robust Design Methods to a Pharmaceutical Research and Development. Mathematical Problems in Engineering 2012, pages 1-14.
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John A. Cornell. 2011. A Primer on Experiments with Mixtures. A Primer on Experiments with Mixtures 201 245 .
John A. Cornell. 2011. A Primer on Experiments with Mixtures. A Primer on Experiments with Mixtures 299 315 .
Byung Rae Cho, Yongsun Choi & Sangmun Shin. (2009) RETRACTED ARTICLE: Development of censored data-based robust design for pharmaceutical quality by design. The International Journal of Advanced Manufacturing Technology 49:9-12, pages 839-851.
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Byung Rae Cho, Sangmun Shin, Yongsun Choi & Jami Kovach. (2009) Development of a multidisciplinary optimization process for designing optimal pharmaceutical formulations with constrained experimental regions. The International Journal of Advanced Manufacturing Technology 44:9-10, pages 841-853.
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George J. Besseris. (2009) Multi‐response unreplicated‐saturated Taguchi designs and super‐ranking in food formulation improvement. International Journal of Quality & Reliability Management 26:4, pages 341-368.
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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.
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D Stamatis. 2002. Six Sigma and Beyond. Six Sigma and Beyond 581 600 .
John A. Cornell. 2002. Experiments with Mixtures. Experiments with Mixtures 438 520 .
John A. Cornell. 2002. Experiments with Mixtures. Experiments with Mixtures 286 353 .
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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B. Campisi, D. Chicco, D. Vojnovic & R. Phan-Tan-Luu. (1998) Experimental design for a pharmaceutical formulation: optimisation and robustness. Journal of Pharmaceutical and Biomedical Analysis 18:1-2, pages 57-65.
Crossref
G. E. ARTEAGA, E. LI‐CHAN, S. NAKAI, S. COFRADES & F. JIMENEZ‐COLMENERO. (2006) Ingredient Interaction Effects on Protein Functionality: Mixture Design Approach. Journal of Food Science 58:3, pages 656-662.
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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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