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Experiments with mixtures [[electronic resource] ] : designs, models, and the analysis of mixture data / / John A. Cornell
| Experiments with mixtures [[electronic resource] ] : designs, models, and the analysis of mixture data / / John A. Cornell |
| Autore | Cornell John A. <1941-> |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | New York, : Wiley, c2002 |
| Descrizione fisica | 1 online resource (682 p.) |
| Disciplina |
519.5
519.5/38 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Experimental design
Mixtures - Statistical methods |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-29482-6
9786613294821 1-118-20422-0 1-118-15049-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data; Contents; Preface to the Third Edition; Preface to the Second Edition; 1. Introduction; 1.1. The Original Mixture Problem; 1.2. General Remarks About Response Surface Methods; 1.3. A Factorial Experiment or a Mixture Experiment?; 1.4. An Historical Perspective; References and Recommended Reading; Questions; 2. The Original Mixture Problem: Designs and Models for Exploring the Entire Simplex Factor Space; 2.1. The Simplex-Lattice Designs; 2.2. The Canonical Polynomials
2.3. The Polynomial Coefficients as Functions of the Responses at the Points of the Lattices2.4. Estimating the Parameters in the {q,m} Polynomials; 2.5. Properties of the Estimate of the Response y(x); 2.6. A Three-Component Yarn Example Using a {3,2} Simplex-Lattice Design; 2.7. The Analysis of Variance Table; 2.8. Analysis of Variance Calculations of the Yarn Elongation Data; 2.9. The Plotting of Individual Residuals; 2.10. Testing the Degree of the Fitted Model: A Quadratic Model or Planar Model?; 2.11. Some Comments on the Use of Check Points for Testing Model Lack of Fit 2.12. A Numerical Example Illustrating the Use of Check Points for Testing Lack of Fit2.13. The Simplex-Centroid Design and the Associated Polynomial Model; 2.14. An Application of a Four-Component Simplex-Centroid Design. Blending Chemical Pesticides for Control of Mites; 2.15. Axial Designs; 2.16. Comments on a Comparison Made Between an Augmented Simplex-Centroid Design and a Full Cubic Lattice for Three Components Where Each Design Contains Ten Points; 2.17. Reparameterizing Scheffé's Mixture Models to Contain a Constant (ß0) Term: A Numerical Example 2.18. Questions to Consider at the Planning Stages of a Mixture Experiment2.19. Summary; References and Recommended Reading; Questions; Appendix 2A. Least-Squares Estimation Formulas for the Polynomial Coefficients and Their Variances: Matrix Notation; Appendix 2B. Cubic and Quartic Polynomials and Formulas for the Estimates of the Coefficients; Appendix 2C. The Partitioning of the Sources in the Analysis of Variance Table When Fitting the Scheffé Mixture Models; 3. The Use of Independent Variables; 3.1. Transforming from the q Mixture Components to q-1 Mathematically Independent Variables 3.2. A Numerical Example: Sensory Flavor Rating of Fish Patties3.3. Defining a Region of Interest Inside the Simplex: An Ellipsoidal Region; 3.4. A Numerical Illustration of the Inverse Transformation from the Design Variables to the Mixture Components; 3.5. Enlarging the Unit Spherical Region of Interest; 3.6. Some Discussion on Design Strategy When Fitting Response Surfaces; 3.7. Rotatable Designs; 3.8. A Second-Order Rotatable Design for a Four-Component System; 3.9. Defining a Cuboidal Region of Interest in the Mixture System; 3.10. Summary; References and Recommended Reading; Questions Appendix 3A. An Alternative Transformation from the Mixture Component System to the Independent Variable System |
| Record Nr. | UNINA-9910139725903321 |
Cornell John A. <1941->
|
||
| New York, : Wiley, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Experiments with mixtures [[electronic resource] ] : designs, models, and the analysis of mixture data / / John A. Cornell
| Experiments with mixtures [[electronic resource] ] : designs, models, and the analysis of mixture data / / John A. Cornell |
| Autore | Cornell John A. <1941-> |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | New York, : Wiley, c2002 |
| Descrizione fisica | 1 online resource (682 p.) |
| Disciplina |
519.5
519.5/38 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Experimental design
Mixtures - Statistical methods |
| ISBN |
1-283-29482-6
9786613294821 1-118-20422-0 1-118-15049-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data; Contents; Preface to the Third Edition; Preface to the Second Edition; 1. Introduction; 1.1. The Original Mixture Problem; 1.2. General Remarks About Response Surface Methods; 1.3. A Factorial Experiment or a Mixture Experiment?; 1.4. An Historical Perspective; References and Recommended Reading; Questions; 2. The Original Mixture Problem: Designs and Models for Exploring the Entire Simplex Factor Space; 2.1. The Simplex-Lattice Designs; 2.2. The Canonical Polynomials
2.3. The Polynomial Coefficients as Functions of the Responses at the Points of the Lattices2.4. Estimating the Parameters in the {q,m} Polynomials; 2.5. Properties of the Estimate of the Response y(x); 2.6. A Three-Component Yarn Example Using a {3,2} Simplex-Lattice Design; 2.7. The Analysis of Variance Table; 2.8. Analysis of Variance Calculations of the Yarn Elongation Data; 2.9. The Plotting of Individual Residuals; 2.10. Testing the Degree of the Fitted Model: A Quadratic Model or Planar Model?; 2.11. Some Comments on the Use of Check Points for Testing Model Lack of Fit 2.12. A Numerical Example Illustrating the Use of Check Points for Testing Lack of Fit2.13. The Simplex-Centroid Design and the Associated Polynomial Model; 2.14. An Application of a Four-Component Simplex-Centroid Design. Blending Chemical Pesticides for Control of Mites; 2.15. Axial Designs; 2.16. Comments on a Comparison Made Between an Augmented Simplex-Centroid Design and a Full Cubic Lattice for Three Components Where Each Design Contains Ten Points; 2.17. Reparameterizing Scheffé's Mixture Models to Contain a Constant (ß0) Term: A Numerical Example 2.18. Questions to Consider at the Planning Stages of a Mixture Experiment2.19. Summary; References and Recommended Reading; Questions; Appendix 2A. Least-Squares Estimation Formulas for the Polynomial Coefficients and Their Variances: Matrix Notation; Appendix 2B. Cubic and Quartic Polynomials and Formulas for the Estimates of the Coefficients; Appendix 2C. The Partitioning of the Sources in the Analysis of Variance Table When Fitting the Scheffé Mixture Models; 3. The Use of Independent Variables; 3.1. Transforming from the q Mixture Components to q-1 Mathematically Independent Variables 3.2. A Numerical Example: Sensory Flavor Rating of Fish Patties3.3. Defining a Region of Interest Inside the Simplex: An Ellipsoidal Region; 3.4. A Numerical Illustration of the Inverse Transformation from the Design Variables to the Mixture Components; 3.5. Enlarging the Unit Spherical Region of Interest; 3.6. Some Discussion on Design Strategy When Fitting Response Surfaces; 3.7. Rotatable Designs; 3.8. A Second-Order Rotatable Design for a Four-Component System; 3.9. Defining a Cuboidal Region of Interest in the Mixture System; 3.10. Summary; References and Recommended Reading; Questions Appendix 3A. An Alternative Transformation from the Mixture Component System to the Independent Variable System |
| Record Nr. | UNINA-9910830815803321 |
|
Cornell John A. <1941->
|
||
| New York, : Wiley, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Experiments with mixtures [[electronic resource] ] : designs, models, and the analysis of mixture data / / John A. Cornell
| Experiments with mixtures [[electronic resource] ] : designs, models, and the analysis of mixture data / / John A. Cornell |
| Autore | Cornell John A. <1941-> |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | New York, : Wiley, c2002 |
| Descrizione fisica | 1 online resource (682 p.) |
| Disciplina |
519.5
519.5/38 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Experimental design
Mixtures - Statistical methods |
| ISBN |
1-283-29482-6
9786613294821 1-118-20422-0 1-118-15049-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data; Contents; Preface to the Third Edition; Preface to the Second Edition; 1. Introduction; 1.1. The Original Mixture Problem; 1.2. General Remarks About Response Surface Methods; 1.3. A Factorial Experiment or a Mixture Experiment?; 1.4. An Historical Perspective; References and Recommended Reading; Questions; 2. The Original Mixture Problem: Designs and Models for Exploring the Entire Simplex Factor Space; 2.1. The Simplex-Lattice Designs; 2.2. The Canonical Polynomials
2.3. The Polynomial Coefficients as Functions of the Responses at the Points of the Lattices2.4. Estimating the Parameters in the {q,m} Polynomials; 2.5. Properties of the Estimate of the Response y(x); 2.6. A Three-Component Yarn Example Using a {3,2} Simplex-Lattice Design; 2.7. The Analysis of Variance Table; 2.8. Analysis of Variance Calculations of the Yarn Elongation Data; 2.9. The Plotting of Individual Residuals; 2.10. Testing the Degree of the Fitted Model: A Quadratic Model or Planar Model?; 2.11. Some Comments on the Use of Check Points for Testing Model Lack of Fit 2.12. A Numerical Example Illustrating the Use of Check Points for Testing Lack of Fit2.13. The Simplex-Centroid Design and the Associated Polynomial Model; 2.14. An Application of a Four-Component Simplex-Centroid Design. Blending Chemical Pesticides for Control of Mites; 2.15. Axial Designs; 2.16. Comments on a Comparison Made Between an Augmented Simplex-Centroid Design and a Full Cubic Lattice for Three Components Where Each Design Contains Ten Points; 2.17. Reparameterizing Scheffé's Mixture Models to Contain a Constant (ß0) Term: A Numerical Example 2.18. Questions to Consider at the Planning Stages of a Mixture Experiment2.19. Summary; References and Recommended Reading; Questions; Appendix 2A. Least-Squares Estimation Formulas for the Polynomial Coefficients and Their Variances: Matrix Notation; Appendix 2B. Cubic and Quartic Polynomials and Formulas for the Estimates of the Coefficients; Appendix 2C. The Partitioning of the Sources in the Analysis of Variance Table When Fitting the Scheffé Mixture Models; 3. The Use of Independent Variables; 3.1. Transforming from the q Mixture Components to q-1 Mathematically Independent Variables 3.2. A Numerical Example: Sensory Flavor Rating of Fish Patties3.3. Defining a Region of Interest Inside the Simplex: An Ellipsoidal Region; 3.4. A Numerical Illustration of the Inverse Transformation from the Design Variables to the Mixture Components; 3.5. Enlarging the Unit Spherical Region of Interest; 3.6. Some Discussion on Design Strategy When Fitting Response Surfaces; 3.7. Rotatable Designs; 3.8. A Second-Order Rotatable Design for a Four-Component System; 3.9. Defining a Cuboidal Region of Interest in the Mixture System; 3.10. Summary; References and Recommended Reading; Questions Appendix 3A. An Alternative Transformation from the Mixture Component System to the Independent Variable System |
| Record Nr. | UNINA-9910841484603321 |
|
Cornell John A. <1941->
|
||
| New York, : Wiley, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A primer on experiments with mixtures [[electronic resource] /] / John A. Cornell
| A primer on experiments with mixtures [[electronic resource] /] / John A. Cornell |
| Autore | Cornell John A. <1941-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2011 |
| Descrizione fisica | 1 online resource (376 p.) |
| Disciplina |
660.294
660/.294 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Mixtures - Experiments
Mixtures - Mathematical models Powders - Mixing - Experiments Powders - Mixing - Mathematical models Solution (Chemistry) - Experiments Solution (Chemistry) - Mathematical models |
| ISBN |
1-283-29452-4
9786613294524 1-118-12516-9 0-470-90744-4 0-470-90742-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
A Primer on Experiments with Mixtures; Contents; Preface; 1. Introduction; 1.1 The Original Mixture Problem; 1.2 A Pesticide Example Involving Two Chemicals; 1.3 General Remarks About Response Surface Methods; 1.4 An Historical Perspective; References and Recommended Reading; Questions; Appendix 1A: Testing for Nonlinear Blending of the Two Chemicals Vendex and Kelthane While Measuring the Average Percent Mortality (APM) of Mites; 2. The Original Mixture Problem: Designs and Models for Exploring the Entire Simplex Factor Space; 2.1 The Simplex-Lattice Designs; 2.2 The Canonical Polynomials
2.3 The Polynomial Coefficients As Functions of the Responses at the Points of the Lattices2.4 Estimating The Parameters in the {q,m} Polynomials; 2.5 Properties of the Estimate of the Response y(x); 2.6 A Three-Component Yarn Example Using A {3, 2} Simplex-Lattice Design; 2.7 The Analysis of Variance Table; 2.8 Analysis of Variance Calculations of the Yarn Elongation Data; 2.9 The Plotting of Individual Residuals; 2.10 Testing the Degree of the Fitted Model: A Quadratic Model or Planar Model?; 2.11 Testing Model Lack of Fit Using Extra Points and Replicated Observations 2.12 The Simplex-Centroid Design and Associated Polynomial Model2.13 An Application of a Four-Component Simplex-Centroid Design: Blending Chemical Pesticides for Control of Mites; 2.14 Axial Designs; 2.15 Comments on a Comparison Made Between An Augmented Simplex-Centroid Design and a Full Cubic Lattice for Three Components Where Each Design Contains Ten Points; 2.16 Reparameterizing Scheff ́e's Mixture Models to Contain A Constant (β0) Term: A Numerical Example; 2.17 Questions to Consider at the Planning Stages of a Mixture Experiment; 2.18 Summary; References and Recommended Reading QuestionsAppendix 2A: Least-Squares Estimation Formula for the Polynomial Coefficients and Their Variances: Matrix Notation; Appendix 2B: Cubic and Quartic Polynomials and Formulas for the Estimates of the Coefficients; Appendix 2C: The Partitioning of the Sources in the Analysis of Variance Table When Fitting the Scheffé Mixture Models; 3. Multiple Constraints on the Component Proportions; 3.1 Lower-Bound Restrictions on Some or All of the Component Proportions; 3.2 Introducing L-Pseudocomponents; 3.3 A Numerical Example of Fitting An L-Pseudocomponent Model 3.4 Upper-Bound Restrictions on Some or All Component Proportions3.5 An Example of the Placing of an Upper Bound on a Single Component: The Formulation of a Tropical Beverage; 3.6 Introducing U-Pseudocomponents; 3.7 The Placing of Both Upper and Lower Bounds on the Component Proportions; 3.8 Formulas For Enumerating the Number of Extreme Vertices, Edges, and Two-Dimensional Faces of the Constrained Region; 3.9 McLean and Anderson's Algorithm For Calculating the Coordinates of the Extreme Vertices of a Constrained Region; 3.10 Multicomponent Constraints 3.11 Some Examples of Designs for Constrained Mixture Regions: CONVRT and CONAEV Programs |
| Record Nr. | UNINA-9910133222703321 |
|
Cornell John A. <1941->
|
||
| Hoboken, N.J., : Wiley, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A primer on experiments with mixtures [[electronic resource] /] / John A. Cornell
| A primer on experiments with mixtures [[electronic resource] /] / John A. Cornell |
| Autore | Cornell John A. <1941-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2011 |
| Descrizione fisica | 1 online resource (376 p.) |
| Disciplina |
660.294
660/.294 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Mixtures - Experiments
Mixtures - Mathematical models Powders - Mixing - Experiments Powders - Mixing - Mathematical models Solution (Chemistry) - Experiments Solution (Chemistry) - Mathematical models |
| ISBN |
1-283-29452-4
9786613294524 1-118-12516-9 0-470-90744-4 0-470-90742-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
A Primer on Experiments with Mixtures; Contents; Preface; 1. Introduction; 1.1 The Original Mixture Problem; 1.2 A Pesticide Example Involving Two Chemicals; 1.3 General Remarks About Response Surface Methods; 1.4 An Historical Perspective; References and Recommended Reading; Questions; Appendix 1A: Testing for Nonlinear Blending of the Two Chemicals Vendex and Kelthane While Measuring the Average Percent Mortality (APM) of Mites; 2. The Original Mixture Problem: Designs and Models for Exploring the Entire Simplex Factor Space; 2.1 The Simplex-Lattice Designs; 2.2 The Canonical Polynomials
2.3 The Polynomial Coefficients As Functions of the Responses at the Points of the Lattices2.4 Estimating The Parameters in the {q,m} Polynomials; 2.5 Properties of the Estimate of the Response y(x); 2.6 A Three-Component Yarn Example Using A {3, 2} Simplex-Lattice Design; 2.7 The Analysis of Variance Table; 2.8 Analysis of Variance Calculations of the Yarn Elongation Data; 2.9 The Plotting of Individual Residuals; 2.10 Testing the Degree of the Fitted Model: A Quadratic Model or Planar Model?; 2.11 Testing Model Lack of Fit Using Extra Points and Replicated Observations 2.12 The Simplex-Centroid Design and Associated Polynomial Model2.13 An Application of a Four-Component Simplex-Centroid Design: Blending Chemical Pesticides for Control of Mites; 2.14 Axial Designs; 2.15 Comments on a Comparison Made Between An Augmented Simplex-Centroid Design and a Full Cubic Lattice for Three Components Where Each Design Contains Ten Points; 2.16 Reparameterizing Scheff ́e's Mixture Models to Contain A Constant (β0) Term: A Numerical Example; 2.17 Questions to Consider at the Planning Stages of a Mixture Experiment; 2.18 Summary; References and Recommended Reading QuestionsAppendix 2A: Least-Squares Estimation Formula for the Polynomial Coefficients and Their Variances: Matrix Notation; Appendix 2B: Cubic and Quartic Polynomials and Formulas for the Estimates of the Coefficients; Appendix 2C: The Partitioning of the Sources in the Analysis of Variance Table When Fitting the Scheffé Mixture Models; 3. Multiple Constraints on the Component Proportions; 3.1 Lower-Bound Restrictions on Some or All of the Component Proportions; 3.2 Introducing L-Pseudocomponents; 3.3 A Numerical Example of Fitting An L-Pseudocomponent Model 3.4 Upper-Bound Restrictions on Some or All Component Proportions3.5 An Example of the Placing of an Upper Bound on a Single Component: The Formulation of a Tropical Beverage; 3.6 Introducing U-Pseudocomponents; 3.7 The Placing of Both Upper and Lower Bounds on the Component Proportions; 3.8 Formulas For Enumerating the Number of Extreme Vertices, Edges, and Two-Dimensional Faces of the Constrained Region; 3.9 McLean and Anderson's Algorithm For Calculating the Coordinates of the Extreme Vertices of a Constrained Region; 3.10 Multicomponent Constraints 3.11 Some Examples of Designs for Constrained Mixture Regions: CONVRT and CONAEV Programs |
| Record Nr. | UNINA-9910811043103321 |
|
Cornell John A. <1941->
|
||
| Hoboken, N.J., : Wiley, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||