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->
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New York, : Wiley, c2002 | ||
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Lo trovi qui: Univ. Federico II | ||
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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->
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New York, : Wiley, c2002 | ||
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Lo trovi qui: Univ. Federico II | ||
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Experiments with mixtures : designs, models, and the analysis of mixture data / John A. Cornell |
Autore | Cornell, John A. |
Descrizione fisica | xvii, 305 p. : ill. ; 24 cm. |
Disciplina | 519.5352 |
Collana | Wiley series in probability and mathematical statistics. Applied probability and statistics, 0271-6356 |
Soggetto topico |
Experimental design
Mixtures-statistical methods |
ISBN | 0471079162 |
Classificazione |
AMS 62P
QA279.C66 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000882579707536 |
Cornell, John A.
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Lo trovi qui: Univ. del Salento | ||
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A first course in design and analysis of experiments / Gary W. Oehlert |
Autore | Oehlert, Gary W. |
Pubbl/distr/stampa | New York : W. H. Freeman, c2000 |
Descrizione fisica | xvii, 659 p. : ill. ; 24 cm. |
Disciplina | 001.434 |
Soggetto topico | Experimental design |
ISBN | 0716735105 |
Classificazione |
AMS 05B
AMS 62K QA279.O34 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000893499707536 |
Oehlert, Gary W.
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New York : W. H. Freeman, c2000 | ||
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Lo trovi qui: Univ. del Salento | ||
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A first course in differential equations, modeling, and simulation / Carlos A. Smith, Scott W. Campbell |
Autore | Smith, Carlos A., 1943- |
Pubbl/distr/stampa | Boca Raton, FL : CRC Press, c2011 |
Descrizione fisica | xiii, 331 p. : ill. ; 25 cm |
Disciplina | 515 .35 |
Altri autori (Persone) | Campbell, Scott W |
Soggetto topico |
Differential equations
Experimental design |
ISBN |
9781439850879
1439850879 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991002028609707536 |
Smith, Carlos A., 1943-
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Boca Raton, FL : CRC Press, c2011 | ||
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Lo trovi qui: Univ. del Salento | ||
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A first course in linear models and design of experiments / / N. R. Mohan Madhyastha, S. Ravi, A. S. Praveena |
Autore | Madhyastha N. R. Mohan |
Edizione | [1st ed. 2020.] |
Pubbl/distr/stampa | Singapore : , : Springer, , [2020] |
Descrizione fisica | 1 online resource (XIV, 230 p. 26 illus.) |
Disciplina | 519.5 |
Soggetto topico |
Linear models (Statistics)
Experimental design |
ISBN | 981-15-8659-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Linear Estimation -- Linear Hypotheses and Their Tests -- Block Designs -- Row-Column Designs -- Factorial Experiments -- Analysis of Covariance -- Missing Plot Technique -- Split Plot Design. |
Record Nr. | UNINA-9910484852103321 |
Madhyastha N. R. Mohan
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Singapore : , : Springer, , [2020] | ||
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Lo trovi qui: Univ. Federico II | ||
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A first course in linear models and design of experiments / / N. R. Mohan Madhyastha, S. Ravi, A. S. Praveena |
Autore | Madhyastha N. R. Mohan |
Edizione | [1st ed. 2020.] |
Pubbl/distr/stampa | Singapore : , : Springer, , [2020] |
Descrizione fisica | 1 online resource (XIV, 230 p. 26 illus.) |
Disciplina | 519.5 |
Soggetto topico |
Linear models (Statistics)
Experimental design |
ISBN | 981-15-8659-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Linear Estimation -- Linear Hypotheses and Their Tests -- Block Designs -- Row-Column Designs -- Factorial Experiments -- Analysis of Covariance -- Missing Plot Technique -- Split Plot Design. |
Record Nr. | UNISA-996418199603316 |
Madhyastha N. R. Mohan
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Singapore : , : Springer, , [2020] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Fractional factorial plans [[electronic resource] /] / Aloke Dey, Rahul Mukerjee |
Autore | Dey Aloke |
Pubbl/distr/stampa | New York, : Wiley, c1999 |
Descrizione fisica | 1 online resource (236 p.) |
Disciplina |
519.5
519.5354 |
Altri autori (Persone) | MukerjeeRahul |
Collana | Wiley series in probability and statistics Probability and statistics section |
Soggetto topico |
Experimental design
Factorial experiment designs |
ISBN |
1-282-30739-8
9786612307393 0-470-31698-5 0-470-31782-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Fractional Factorial Plans; Contents; Preface; 1. Introduction; 1.1 lntroductory Remarks, 1; 1.2 Preliminary Ideas, 2; 1.3 Scope of the Book, 5; 2. Fractional Plans and Orthogonal Arrays; 2.1 Introduction, 7; 2.2 Kronecker Notation, 7; 2.3 Fractional Factorial Plans, 11; 2.4 Concept of Resolution, 18; 2.5 Optimality Criteria, 20; 2.6 Role of Orthogonal Arrays, 23; Exercises, 30; 3. Symmetric Orthogonal Arrays; 3.1 Introduction, 32; 3.2 Orthogonal Arrays and Hadamard Matrices, 32; 3.3 Foldover Technique, 34; 3.4 Use of Galois Fields, 36; 3.5 Method of Differences, 40
3.6 Some Further Results, 46Exercises, 47; 4. Asymmetric Orthogonal Arrays; 4.1 Introduction, 48; 4.2 Collapsing and Replacement Procedures, 48; 4.3 Use of Hadamard Matrices, 50; 4.4 Use of Difference Matrices, 56; 4.5 Use of Resolvable Arrays, 60; 4.6 More on the Method of Grouping, 66; 4.7 Arrays of Higher Strength, 68; Exercises, 74; 5. Some Results on Nonexistence; 5.1 Introduction, 75; 5.2 Bose-Bush Approach, 75; 5.3 Linear Programming and Other Bounds, 79; 5.4 On the Tight and Nearly Tight Cases, 84; Exercises, 93; 6. More on Optimal Fractional plans and Related Topics 6.1 Introduction and Preliminaries, 946.2 Augmented Orthogonal Arrays: Addition of One Run, 95; 6.3 Augmented Orthogonal Arrays: Further Results, 102; 6.4 Nearly Orthogonal Arrays, 1 17; 6.5 Connection with Weighing Designs, 122; 6.6 Optimality with Two or Three Factors, 128; 6.7 Some Other Plans, 134; Exercises, 139; 7. Trend-Free Plans and Blocking; 7.1 Introduction, 140; 7.2 Trend-Free Plans: Basic Principles, 140; 7.3 Trend-Free Orthogonal Arrays, 147; 7.4 Blocking, 158; Exercises, 161; 8. Some Further Developments; 8.1 Introduction, 162 8.2 Regular Fractions and Minimum Aberration Designs, 1628.3 Search Designs, 175; 8.4 Supersaturated Designs, 182; Exercises, 184; Appendix; A. 1 Hadamard Matrices, 187; A.2 Difference Matrices, 189; A.3 Selected Orthogonal Arrays, 190; References; Index |
Record Nr. | UNINA-9910144684603321 |
Dey Aloke
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||
New York, : Wiley, c1999 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Fractional factorial plans [[electronic resource] /] / Aloke Dey, Rahul Mukerjee |
Autore | Dey Aloke |
Pubbl/distr/stampa | New York, : Wiley, c1999 |
Descrizione fisica | 1 online resource (236 p.) |
Disciplina |
519.5
519.5354 |
Altri autori (Persone) | MukerjeeRahul |
Collana | Wiley series in probability and statistics Probability and statistics section |
Soggetto topico |
Experimental design
Factorial experiment designs |
ISBN |
1-282-30739-8
9786612307393 0-470-31698-5 0-470-31782-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Fractional Factorial Plans; Contents; Preface; 1. Introduction; 1.1 lntroductory Remarks, 1; 1.2 Preliminary Ideas, 2; 1.3 Scope of the Book, 5; 2. Fractional Plans and Orthogonal Arrays; 2.1 Introduction, 7; 2.2 Kronecker Notation, 7; 2.3 Fractional Factorial Plans, 11; 2.4 Concept of Resolution, 18; 2.5 Optimality Criteria, 20; 2.6 Role of Orthogonal Arrays, 23; Exercises, 30; 3. Symmetric Orthogonal Arrays; 3.1 Introduction, 32; 3.2 Orthogonal Arrays and Hadamard Matrices, 32; 3.3 Foldover Technique, 34; 3.4 Use of Galois Fields, 36; 3.5 Method of Differences, 40
3.6 Some Further Results, 46Exercises, 47; 4. Asymmetric Orthogonal Arrays; 4.1 Introduction, 48; 4.2 Collapsing and Replacement Procedures, 48; 4.3 Use of Hadamard Matrices, 50; 4.4 Use of Difference Matrices, 56; 4.5 Use of Resolvable Arrays, 60; 4.6 More on the Method of Grouping, 66; 4.7 Arrays of Higher Strength, 68; Exercises, 74; 5. Some Results on Nonexistence; 5.1 Introduction, 75; 5.2 Bose-Bush Approach, 75; 5.3 Linear Programming and Other Bounds, 79; 5.4 On the Tight and Nearly Tight Cases, 84; Exercises, 93; 6. More on Optimal Fractional plans and Related Topics 6.1 Introduction and Preliminaries, 946.2 Augmented Orthogonal Arrays: Addition of One Run, 95; 6.3 Augmented Orthogonal Arrays: Further Results, 102; 6.4 Nearly Orthogonal Arrays, 1 17; 6.5 Connection with Weighing Designs, 122; 6.6 Optimality with Two or Three Factors, 128; 6.7 Some Other Plans, 134; Exercises, 139; 7. Trend-Free Plans and Blocking; 7.1 Introduction, 140; 7.2 Trend-Free Plans: Basic Principles, 140; 7.3 Trend-Free Orthogonal Arrays, 147; 7.4 Blocking, 158; Exercises, 161; 8. Some Further Developments; 8.1 Introduction, 162 8.2 Regular Fractions and Minimum Aberration Designs, 1628.3 Search Designs, 175; 8.4 Supersaturated Designs, 182; Exercises, 184; Appendix; A. 1 Hadamard Matrices, 187; A.2 Difference Matrices, 189; A.3 Selected Orthogonal Arrays, 190; References; Index |
Record Nr. | UNINA-9910830128703321 |
Dey Aloke
![]() |
||
New York, : Wiley, c1999 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Fractional factorial plans [[electronic resource] /] / Aloke Dey, Rahul Mukerjee |
Autore | Dey Aloke |
Pubbl/distr/stampa | New York, : Wiley, c1999 |
Descrizione fisica | 1 online resource (236 p.) |
Disciplina |
519.5
519.5354 |
Altri autori (Persone) | MukerjeeRahul |
Collana | Wiley series in probability and statistics Probability and statistics section |
Soggetto topico |
Experimental design
Factorial experiment designs |
ISBN |
1-282-30739-8
9786612307393 0-470-31698-5 0-470-31782-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Fractional Factorial Plans; Contents; Preface; 1. Introduction; 1.1 lntroductory Remarks, 1; 1.2 Preliminary Ideas, 2; 1.3 Scope of the Book, 5; 2. Fractional Plans and Orthogonal Arrays; 2.1 Introduction, 7; 2.2 Kronecker Notation, 7; 2.3 Fractional Factorial Plans, 11; 2.4 Concept of Resolution, 18; 2.5 Optimality Criteria, 20; 2.6 Role of Orthogonal Arrays, 23; Exercises, 30; 3. Symmetric Orthogonal Arrays; 3.1 Introduction, 32; 3.2 Orthogonal Arrays and Hadamard Matrices, 32; 3.3 Foldover Technique, 34; 3.4 Use of Galois Fields, 36; 3.5 Method of Differences, 40
3.6 Some Further Results, 46Exercises, 47; 4. Asymmetric Orthogonal Arrays; 4.1 Introduction, 48; 4.2 Collapsing and Replacement Procedures, 48; 4.3 Use of Hadamard Matrices, 50; 4.4 Use of Difference Matrices, 56; 4.5 Use of Resolvable Arrays, 60; 4.6 More on the Method of Grouping, 66; 4.7 Arrays of Higher Strength, 68; Exercises, 74; 5. Some Results on Nonexistence; 5.1 Introduction, 75; 5.2 Bose-Bush Approach, 75; 5.3 Linear Programming and Other Bounds, 79; 5.4 On the Tight and Nearly Tight Cases, 84; Exercises, 93; 6. More on Optimal Fractional plans and Related Topics 6.1 Introduction and Preliminaries, 946.2 Augmented Orthogonal Arrays: Addition of One Run, 95; 6.3 Augmented Orthogonal Arrays: Further Results, 102; 6.4 Nearly Orthogonal Arrays, 1 17; 6.5 Connection with Weighing Designs, 122; 6.6 Optimality with Two or Three Factors, 128; 6.7 Some Other Plans, 134; Exercises, 139; 7. Trend-Free Plans and Blocking; 7.1 Introduction, 140; 7.2 Trend-Free Plans: Basic Principles, 140; 7.3 Trend-Free Orthogonal Arrays, 147; 7.4 Blocking, 158; Exercises, 161; 8. Some Further Developments; 8.1 Introduction, 162 8.2 Regular Fractions and Minimum Aberration Designs, 1628.3 Search Designs, 175; 8.4 Supersaturated Designs, 182; Exercises, 184; Appendix; A. 1 Hadamard Matrices, 187; A.2 Difference Matrices, 189; A.3 Selected Orthogonal Arrays, 190; References; Index |
Record Nr. | UNINA-9910840626803321 |
Dey Aloke
![]() |
||
New York, : Wiley, c1999 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|