Optimal Mixture Experiments

?The 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 Scheffe’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.

Professor Bikas K. Sinha was attached to the Indian Statistical Institute [1979-2011]. He retired as Senior Professor of Statistics. He has travelled extensively within India and abroad with teaching/collaborative research/consulting assignments. He has served as ‘UN Expert on Mission’ and also as Consultant for US EPA. He is a ‘Summer at Census’ visitor at US Census Bureau. He has extensively published in the areas of linear models and optimal designs, survey sampling theory and statistical methodologies. He is the co-author of two research monographs previously published under Springer-Verlag Lecture Notes in Statistics Series (1989, 2002).

Professor Nripes Kumar Mandal is attached to the Department of Statistics, University of Calcutta since 1977. He is presently a Senior Professor of Statistics. He has travelled extensively in India and abroad (Canada, USA, Germany, Finland, Poland, Bangladesh) for teaching/collaborative research and as resource person/invited speaker/keynote speaker at Workshops/Conferences/Symposia. He has publications in different areas Design of Experiments. He is the co-author of one research monograph previously published under Springer-Verlag Lecture Notes in Statistics Series (2002).

Professor Manisha Pal is attached to the Department of Statistics, University of Calcutta since 1983. She is presently a Professor of Statistics. She has travelled in India and USA with teaching and collaborative research assignments and as resource person/invited speaker at Workshops/Conferences/Symposia. She has publications in the areas of Inventory Control, Reliability Inference, Skewed Distributions, Design of Experiments and Data Analysis.

Professor Premadhis Das is attached to the Department of Statistics, University of Kalyani since 1978. He is presently a Senior Professor of Statistics. He has travelled extensively within India for teaching/ collaborative research and as resource person/invited speaker at Workshops/Conferences/Symposia. He has publications in different areas of Design of Experiments.