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Moda 5 Advances In Model Oriented Data Analysis And Experimental Design


Moda 5 Advances In Model Oriented Data Analysis And Experimental Design
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Moda 5 Advances In Model Oriented Data Analysis And Experimental Design


Moda 5 Advances In Model Oriented Data Analysis And Experimental Design
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Author : Anthony C. Atkinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Moda 5 Advances In Model Oriented Data Analysis And Experimental Design written by Anthony C. Atkinson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This volume contains the majority of the papers presented at the 5th Inter national Workshop on Model-Oriented Data Analysis held in June 1998. This series started in March 1987 with a meeting on the Wartburg, Eisenach (Germany). The next three meetings were in 1990 (St Kyrik monastery, Bulgaria), 1992 (Petrodvorets, StPetersburg, Russia) and 1995 (Spetses, Greece). The main purpose of these workshops was to bring together lead ing scientists from 'Eastern' and 'Western' Europe for the exchange of ideas in theoretical and applied statistics, with special emphasis on experimen tal design. Now that the separation between East and West has become less rigid, this dialogue has, in principle, become much easier. However, providing opportunities for this dialogue is as vital as ever. MODA meetings are known for their friendly atmosphere, leading to fruitful discussions and collaboration, especially between young and senior scien tists. Indeed, many long term collaborations were initiated during these events. This intellectually stimulating atmosphere is achieved by limiting the number of participants to around eighty, by the choice of location so that participants can live as a community, and, of course, through the care ful selection of scientific direction made by the Programme Committee.



Moda 11 Advances In Model Oriented Design And Analysis


Moda 11 Advances In Model Oriented Design And Analysis
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Author : Joachim Kunert
language : en
Publisher: Springer
Release Date : 2016-06-06

Moda 11 Advances In Model Oriented Design And Analysis written by Joachim Kunert and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Mathematics categories.


This volume contains pioneering contributions to both the theory and practice of optimal experimental design. Topics include the optimality of designs in linear and nonlinear models, as well as designs for correlated observations and for sequential experimentation. There is an emphasis on applications to medicine, in particular, to the design of clinical trials. Scientists from Europe, the US, Asia, Australia and Africa contributed to this volume of papers from the 11th Workshop on Model Oriented Design and Analysis.



Design Of Experiments In Nonlinear Models


Design Of Experiments In Nonlinear Models
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Author : Luc Pronzato
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-10

Design Of Experiments In Nonlinear Models written by Luc Pronzato and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-10 with Medical categories.


Design of Experiments in Nonlinear Models: Asymptotic Normality, Optimality Criteria and Small-Sample Properties provides a comprehensive coverage of the various aspects of experimental design for nonlinear models. The book contains original contributions to the theory of optimal experiments that will interest students and researchers in the field. Practitionners motivated by applications will find valuable tools to help them designing their experiments. The first three chapters expose the connections between the asymptotic properties of estimators in parametric models and experimental design, with more emphasis than usual on some particular aspects like the estimation of a nonlinear function of the model parameters, models with heteroscedastic errors, etc. Classical optimality criteria based on those asymptotic properties are then presented thoroughly in a special chapter. Three chapters are dedicated to specific issues raised by nonlinear models. The construction of design criteria derived from non-asymptotic considerations (small-sample situation) is detailed. The connection between design and identifiability/estimability issues is investigated. Several approaches are presented to face the problem caused by the dependence of an optimal design on the value of the parameters to be estimated. A survey of algorithmic methods for the construction of optimal designs is provided.



Functional Approach To Optimal Experimental Design


Functional Approach To Optimal Experimental Design
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Author : Viatcheslav B. Melas
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-20

Functional Approach To Optimal Experimental Design written by Viatcheslav B. Melas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-20 with Mathematics categories.


The present book is devoted to studying optimal experimental designs for a wide class of linear and nonlinear regression models. This class includes polynomial, trigonometrical, rational, and exponential models as well as many particular models used in ecology and microbiology. As the criteria of optimality, the well known D-, E-, and c-criteria are implemented. The main idea of the book is to study the dependence of optimal - signs on values of unknown parameters and on the bounds of the design interval. Such a study can be performed on the base of the Implicit Fu- tion Theorem, the classical result of functional analysis. The idea was ?rst introduced in the author’s paper (Melas, 1978) for nonlinear in parameters exponential models. Recently, it was developed for other models in a n- ber of works (Melas (1995, 2000, 2001, 2004, 2005), Dette, Melas (2002, 2003), Dette, Melas, Pepelyshev (2002, 2003, 2004b), and Dette, Melas, Biederman (2002)). Thepurposeofthepresentbookistobringtogethertheresultsobtained and to develop further underlying concepts and tools. The approach, m- tioned above, will be called the functional approach. Its brief description can be found in the Introduction. The book contains eight chapters. The ?rst chapter introduces basic concepts and results of optimal design theory, initiated mainly by J.Kiefer.



The Art Of Semiparametrics


The Art Of Semiparametrics
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Author : Stefan Sperlich
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-25

The Art Of Semiparametrics written by Stefan Sperlich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-25 with Mathematics categories.


This selection of articles emerged from different works presented "The Art of Semiparametrics" conference in 2003 in Berlin. It offers a collection of individual works that together show the large spectrum of semiparametric statistics. The book combines theoretical contributions with more applied and empirical studies. Although each article represents an original contribution to its own field, all are written in a self-contained way that may be read by non-experts.



Optimum Experimental Designs With Sas


Optimum Experimental Designs With Sas
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Author : Anthony Atkinson
language : en
Publisher: OUP Oxford
Release Date : 2007-05-24

Optimum Experimental Designs With Sas written by Anthony Atkinson and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-24 with Mathematics categories.


Experiments on patients, processes or plants all have random error, making statistical methods essential for their efficient design and analysis. This book presents the theory and methods of optimum experimental design, making them available through the use of SAS programs. Little previous statistical knowledge is assumed. The first part of the book stresses the importance of models in the analysis of data and introduces least squares fitting and simple optimum experimental designs. The second part presents a more detailed discussion of the general theory and of a wide variety of experiments. The book stresses the use of SAS to provide hands-on solutions for the construction of designs in both standard and non-standard situations. The mathematical theory of the designs is developed in parallel with their construction in SAS, so providing motivation for the development of the subject. Many chapters cover self-contained topics drawn from science, engineering and pharmaceutical investigations, such as response surface designs, blocking of experiments, designs for mixture experiments and for nonlinear and generalized linear models. Understanding is aided by the provision of "SAS tasks" after most chapters as well as by more traditional exercises and a fully supported website. The authors are leading experts in key fields and this book is ideal for statisticians and scientists in academia, research and the process and pharmaceutical industries.



Foundations Of Statistical Inference


Foundations Of Statistical Inference
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Author : Yoel Haitovsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Foundations Of Statistical Inference written by Yoel Haitovsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This volume is a collection of papers presented at a conference held in Shoresh Holiday Resort near Jerusalem, Israel, in December 2000 organized by the Israeli Ministry of Science, Culture and Sport. The theme of the conference was "Foundation of Statistical Inference: Applications in the Medical and Social Sciences and in Industry and the Interface of Computer Sciences". The following is a quotation from the Program and Abstract booklet of the conference. "Over the past several decades, the field of statistics has seen tremendous growth and development in theory and methodology. At the same time, the advent of computers has facilitated the use of modern statistics in all branches of science, making statistics even more interdisciplinary than in the past; statistics, thus, has become strongly rooted in all empirical research in the medical, social, and engineering sciences. The abundance of computer programs and the variety of methods available to users brought to light the critical issues of choosing models and, given a data set, the methods most suitable for its analysis. Mathematical statisticians have devoted a great deal of effort to studying the appropriateness of models for various types of data, and defining the conditions under which a particular method work. " In 1985 an international conference with a similar title* was held in Is rael. It provided a platform for a formal debate between the two main schools of thought in Statistics, the Bayesian, and the Frequentists.



Household Behaviour Equivalence Scales Welfare And Poverty


Household Behaviour Equivalence Scales Welfare And Poverty
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Author : Camilo Dagum
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Household Behaviour Equivalence Scales Welfare And Poverty written by Camilo Dagum and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.


A group of scholars converging on a common and socially relevant economic theme of research, that of households' welfare and poverty, met several times in the last two years to discuss the research progress and the opportunity to bring to gether for publication the research so far accomplished. They shared a research project supported by a grant from the former Italian Ministero dell'Universita e della Ricerca Scientifica e Tecnologica (MURST) now Ministero dell'Istruzione, dell'Universita e della Ricerca (MIUR): The Equiva lence Scales in the Measurement of Households' Welfare: Statistical, Economic and Demographic Analysis. The decisive meeting, an international seminar on the topics, was hosted by the University of Florence, siege of the national coordinator of this project. When one think of Florence, it is inevitable to think of the unfolding of Ren aissance, and reciprocally. th To the eyes of a traveller who had arrived to Florence in the 15 century, the city would have appeared as a sort of El Dorado, similarly to what would have occurred to the first conquerors of the South America's lands, so much astonishing were the richness of arts and the opulence of life. The flourishing of painting and sculpture had not equal all over the world and was reaching tops never made equal before. Masaccio, Brunelleschi, Donatello and later on Leonardo and Michelangelo, were the artistic and intellectual genius that enlightened beauty lovers princes.....



Block Designs A Randomization Approach


Block Designs A Randomization Approach
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Author : Tadeusz Calinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Block Designs A Randomization Approach written by Tadeusz Calinski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


In most of the literature on block designs, when considering the analysis of experimental results, it is assumed that the expected value of the response of an experimental unit is the sum of three separate components, a general mean parameter, a parameter measuring the effect of the treatment applied and a parameter measuring the effect of the block in which the experimental unit is located. In addition, it is usually assumed that the responses are uncorrelated, with the same variance. Adding to this the assumption of normal distribution of the responses, one obtains the so-called "normal-theory model" on which the usual analysis of variance is based. Referring to it, Scheffe (1959, p. 105) writes that "there is nothing in the 'normal-theory model' of the two-way layout . . . that reflects the increased accuracy possible by good blocking. " Moreover, according to him, such a model "is inappropriate to those randomized-blocks experiments where the 'errors' are caused mainly by differences among the experimental units rather than measurement errors. " In view of this opinion, he has devoted one of the chapters of his book (Chapter 9) to randomization models, being convinced that "an understanding of the nature of the error distribution generated by the physical act of randomization should be part of our knowledge of the basic theory of the analysis of variance.



Optimal Experimental Design


Optimal Experimental Design
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Author : Jesús López-Fidalgo
language : en
Publisher: Springer Nature
Release Date : 2023-09-12

Optimal Experimental Design written by Jesús López-Fidalgo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-12 with Mathematics categories.


This textbook provides a concise introduction to optimal experimental design and efficiently prepares the reader for research in the area. It presents the common concepts and techniques for linear and nonlinear models as well as Bayesian optimal designs. The last two chapters are devoted to particular themes of interest, including recent developments and hot topics in optimal experimental design, and real-world applications. Numerous examples and exercises are included, some of them with solutions or hints, as well as references to the existing software for computing designs. The book is primarily intended for graduate students and young researchers in statistics and applied mathematics who are new to the field of optimal experimental design. Given the applications and the way concepts and results are introduced, parts of the text will also appeal to engineers and other applied researchers.