## Optimal Mixture ExperimentsThe book dwells mainly on the optimality aspects of mixture designs. As mixture models are a special case of regression models, a general discussion on regression designs has been presented, which includes topics like continuous designs, de la Garza phenomenon, Loewner order domination, Equivalence theorems for different optimality criteria and standard optimality results for single variable polynomial regression and multivariate linear and quadratic regression models. This is followed by a review of the available literature on estimation of parameters in mixture models. Based on recent research findings, the volume also introduces optimal mixture designs for estimation of optimum mixing proportions in different mixture models, which include Scheffé’s quadratic model, Darroch-Waller model, log- contrast model, mixture-amount models, random coefficient models and multi-response model. Robust mixture designs and mixture designs in blocks have been also reviewed. Moreover, some applications of mixture designs in areas like agriculture, pharmaceutics and food and beverages have been presented. Familiarity with the basic concepts of design and analysis of experiments, along with the concept of optimality criteria are desirable prerequisites for a clear understanding of the book. It is likely to be helpful to both theoreticians and practitioners working in the area of mixture experiments. |

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### Contents

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3 Parameter Estimation in Linear and Quadratic Mixture Models | 23 |

4 Optimal Mixture Designs for Estimation of Natural Parameters in Scheffés Models | 43 |

5 Optimal Mixture Designs for Estimation of Natural Parameters in Scheffés Model Under Constrained Factor Space | 62 |

6 Optimal Mixture Designs for Estimation of Natural Parameters in Other Mixture Models | 75 |

7 Optimal Designs for Estimation of Optimum Mixture in Scheffés Quadratic Model | 86 |

8 More on Estimation of Optimum Mixture in Scheffés Quadratic Model | 111 |

9 Optimal Designs for Estimation of Optimum Mixture in Scheffés Quadratic Model Under Constrained Factor Space | 122 |

10 Optimal Designs for Estimation of Optimum Mixture Under DarrochWaller and LogContrast Models | 137 |

11 Applications of Mixture Experiments | 149 |

Robust Mixtures Random Regression Coefficients Multiresponse Experiments MixtureAmount Models Blocking in Mixture Designs | 160 |

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Author Index | 203 |

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### Other editions - View all

Optimal Mixture Experiments Bikas Kumar Sinha,N.K. Mandal,Manisha Pal,Premadhis Das No preview available - 2014 |