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Statistical tools for nonlinear regression : a practical guide with S-plus and R examples.
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ISBN: 0387400818 9786610189113 1280189118 0387215743 Year: 2004 Publisher: New York Springer

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Statistical Tools for Nonlinear Regression, (Second Edition), presents methods for analyzing data using parametric nonlinear regression models. The new edition has been expanded to include binomial, multinomial and Poisson non-linear models. Using examples from experiments in agronomy and biochemistry, it shows how to apply these methods. It concentrates on presenting the methods in an intuitive way rather than developing the theoretical backgrounds. The examples are analyzed with the free software nls2 updated to deal with the new models included in the second edition. The nls2 package is implemented in S-Plus and R. Its main advantages are to make the model building, estimation and validation tasks, easy to do. More precisely, Complex models can be easily described using a symbolic syntax. The regression function as well as the variance function can be defined explicitly as functions of independent variables and of unknown parameters or they can be defined as the solution to a system of differential equations. Moreover, constraints on the parameters can easily be added to the model. It is thus possible to test nested hypotheses and to compare several data sets. Several additional tools are included in the package for calculating confidence regions for functions of parameters or calibration intervals, using classical methodology or bootstrap. Some graphical tools are proposed for visualizing the fitted curves, the residuals, the confidence regions, and the numerical estimation procedure. This book is aimed at scientists who are not familiar with statistical theory, but have a basic knowledge of statistical concepts. It includes methods based on classical nonlinear regression theory and more modern methods, such as bootstrap, which have proved effective in practice. The additional chapters of the second edition assume some practical experience in data analysis using generalized linear models. The book will be of interest both for practitioners as a guide and a reference book, and for students, as a tutorial book. Sylvie Huet and Emmanuel Jolivet are senior researchers and Annie Bouvier is computing engineer at INRA, National Institute of Agronomical Research, France; Marie-Anne Poursat is associate professor of statistics at the University Paris XI.

Advanced methods of pharmacokinetic and pharmacodynamic systems analysis.
Authors: ---
ISBN: 1280147660 9786610147663 0306485230 1402078048 Year: 2004 Publisher: New York : Kluwer Academic Publishers,

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Advanced Methods of Pharmacokinetic and Pharmocodynamic Systems Analysis Volume 3 is vital to professionals and academicians working in drug development and bioengineering. Both basic and clinical scientists will benefit from this work. This book contains chapters by leading researchers in pharmacokinetic/pharmacodynamic modeling and will be of interest to anyone involved with the application of pharmacokinetic and pharmacodynamics to drug development. The use of mathematical modeling and associated computational methods is central to the study of the absorption, distribution and elimination of therapeutic drugs (pharmacokinetics) and to understanding how drugs produce their effects (pharmacodynamics). From its inception, the field of pharmacokinetics and pharmacodynamics has incorporated methods of mathematical modeling, simulation and computation in an effort to better understand and quantify the processes of uptake, disposition and action of therapeutic drugs. These methods for pharmacokinetic/pharmacodynamic systems analysis impact all aspects of drug development. In vitro, animal and human testing, as well as drug therapy are all influenced by these methods. Modeling methodologies developed for studying pharmacokinetic/ pharmacodynamic processes confront many challenges. This is related in part to the severe restrictions on the number and type of measurements that are available from laboratory experiments and clinical trials, as well as the variability in the experiments and the uncertainty associated with the processes themselves. The contributions are organized in three main areas: Mechanism-Based PK/PD, Pharmacometrics and Pharmacotherapy. Both professionals and academics will profit from this extensive work.

Design and analysis of DNA microarray investigations
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ISBN: 0387001352 9786610188130 1280188138 0387218661 Year: 2004 Publisher: New York : Springer-Verlag,

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This book is targeted to biologists with limited statistical background and to statisticians and computer scientists interested in being effective collaborators on multi-disciplinary DNA microarray projects. State-of-the-art analysis methods are presented with minimal mathematical notation and a focus on concepts. This book is unique because it is authored by statisticians at the National Cancer Institute who are actively involved in the application of microarray technology. Many laboratories are not equipped to effectively design and analyze studies that take advantage of the promise of microarrays. Many of the software packages available to biologists were developed without involvement of statisticians experienced in such studies and contain tools that may not be optimal for particular applications. This book provides a sound preparation for designing microarray studies that have clear objectives, and for selecting analysis tools and strategies that provide clear and valid answers. The book offers an in depth understanding of the design and analysis of experiments utilizing microarrays and should benefit scientists regardless of what software packages they prefer. In order to provide all readers with hands on experience in data analysis, it includes an Appendix tutorial on the use of BRB-ArrayTools and step by step analyses of several major datasets using this software which is freely available from the National Cancer Institute for non-commercial use. The authors are current or former members of the Biometric Research Branch at the National Cancer Institute. They have collaborated on major biomedical studies utilizing microarrays and in the development of statistical methodology for the design and analysis of microarray investigations. Dr. Simon, chief of the branch, is also the architect of BRB-ArrayTools.

Keywords

Mathematical statistics --- DNA microarrays --- Puces à ADN --- Statistical methods --- Méthodes statistiques --- DNA microarrays -- Statistical methods. --- Electronic books. -- local. --- Genetics -- Research. --- Statistics as Topic --- Decision Support Techniques --- Molecular Probe Techniques --- Methods --- Sequence Analysis --- Microarray Analysis --- Nucleic Acid Hybridization --- Research --- Genetic Techniques --- Medical Informatics Applications --- Investigative Techniques --- Microchip Analytical Procedures --- Epidemiologic Methods --- Science --- Health Care Evaluation Mechanisms --- Chemistry Techniques, Analytical --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Natural Science Disciplines --- Quality of Health Care --- Medical Informatics --- Public Health --- Environment and Public Health --- Information Science --- Health Care Quality, Access, and Evaluation --- Disciplines and Occupations --- Health Care --- Data Interpretation, Statistical --- Research Design --- Oligonucleotide Array Sequence Analysis --- Human Anatomy & Physiology --- Health & Biological Sciences --- Animal Biochemistry --- 519.242 --- 577.212 --- Experimental design. Optimal designs. Block designs --- Central dogma of molecular biology. Coding of inheritance information. The genetic code and its chemical nature --- 577.212 Central dogma of molecular biology. Coding of inheritance information. The genetic code and its chemical nature --- 519.242 Experimental design. Optimal designs. Block designs --- Genetics --- Statistical methods. --- Research. --- Puces à ADN --- Méthodes statistiques --- EPUB-LIV-FT SPRINGER-B --- Medicine. --- Cancer research. --- Molecular biology. --- Pharmacology. --- Health informatics. --- Bioinformatics. --- Statistics. --- Biomedicine. --- Cancer Research. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Molecular Medicine. --- Pharmacology/Toxicology. --- Health Informatics. --- DNA biochips --- Microarrays, DNA --- Biochips --- Immobilized nucleic acids --- Oncology. --- Toxicology. --- Medical records --- Data processing. --- Statistics . --- Clinical informatics --- Health informatics --- Medical information science --- Information science --- Medicine --- Drug effects --- Medical pharmacology --- Medical sciences --- Chemicals --- Chemotherapy --- Drugs --- Pharmacy --- Molecular biochemistry --- Molecular biophysics --- Biochemistry --- Biophysics --- Biomolecules --- Systems biology --- Statistical analysis --- Statistical data --- Statistical science --- Mathematics --- Econometrics --- Bio-informatics --- Biological informatics --- Biology --- Computational biology --- Cancer research --- Data processing --- Physiological effect

Likelihood, Bayesian and MCMC methods in quantitative genetics
Authors: ---
ISBN: 0387954406 9786610009640 1280009640 0387227644 Year: 2004 Publisher: New York (N.Y.) Springer

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Over the last ten years the introduction of computer intensive statistical methods has opened new horizons concerning the probability models that can be fitted to genetic data, the scale of the problems that can be tackled and the nature of the questions that can be posed. In particular, the application of Bayesian and likelihood methods to statistical genetics has been facilitated enormously by these methods. Techniques generally referred to as Markov chain Monte Carlo (MCMC) have played a major role in this process, stimulating synergies among scientists in different fields, such as mathematicians, probabilists, statisticians, computer scientists and statistical geneticists. Specifically, the MCMC "revolution" has made a deep impact in quantitative genetics. This can be seen, for example, in the vast number of papers dealing with complex hierarchical models and models for detection of genes affecting quantitative or meristic traits in plants, animals and humans that have been published recently. This book, suitable for numerate biologists and for applied statisticians, provides the foundations of likelihood, Bayesian and MCMC methods in the context of genetic analysis of quantitative traits. Most students in biology and agriculture lack the formal background needed to learn these modern biometrical techniques. Although a number of excellent texts in these areas have become available in recent years, the basic ideas and tools are typically described in a technically demanding style, and have been written by and addressed to professional statisticians. For this reason, considerable more detail is offered than what may be warranted for a more mathematically apt audience. The book is divided into four parts. Part I gives a review of probability and distribution theory. Parts II and III present methods of inference and MCMC methods. Part IV discusses several models that can be applied in quantitative genetics, primarily from a bayesian perspective. An effort has been made to relate biological to statistical parameters throughout, and examples are used profusely to motivate the developments.

Keywords

519.226 --- 57.087.1 --- 575 --- Genetics --- -Monte Carlo method --- Markov processes --- Bayesian statistical decision theory. --- Bayes' solution --- Bayesian analysis --- Statistical decision --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Stochastic processes --- Artificial sampling --- Model sampling --- Monte Carlo simulation --- Monte Carlo simulation method --- Stochastic sampling --- Games of chance (Mathematics) --- Mathematical models --- Numerical analysis --- Numerical calculations --- Biology --- Embryology --- Mendel's law --- Adaptation (Biology) --- Breeding --- Chromosomes --- Heredity --- Mutation (Biology) --- Variation (Biology) --- 575 General genetics. General cytogenetics. Immunogenetics. Evolution. Speciation. Phylogeny --- General genetics. General cytogenetics. Immunogenetics. Evolution. Speciation. Phylogeny --- 57.087.1 Biometry. Statistical study and treatment of biological data --- Biometry. Statistical study and treatment of biological data --- 519.226 Inference and decision theory. Likelihood. Bayesian theory. Fiducial probability --- Inference and decision theory. Likelihood. Bayesian theory. Fiducial probability --- Statistical methods --- Génétique quantitative --- Genetics -- Statistical methods. --- Monte Carlo Method --- Genetics, Medical --- Systems Analysis --- Basic Sciences. Genetics --- Population and Quantitative Genetics --- Population and Quantitative Genetics. --- Génétique --- Statistique bayésienne --- Life sciences. --- Biochemistry. --- Plant genetics. --- Animal genetics. --- Statistics. --- Life Sciences. --- Biochemistry, general. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Animal Genetics and Genomics. --- Plant Genetics & Genomics. --- Bayesian statistical decision theory --- Monte Carlo method --- Biomathematics. Biometry. Biostatistics --- Mathematical statistics --- Monte Carlo method. --- Markov processes. --- Statistical methods. --- Quantitative genetics --- Monte-Carlo, Méthode de --- Markov, Processus de --- Méthodes statistiques --- EPUB-LIV-FT SPRINGER-B --- Plant Genetics and Genomics. --- Statistics . --- Plants --- Statistical analysis --- Statistical data --- Statistical science --- Mathematics --- Econometrics --- Biological chemistry --- Chemical composition of organisms --- Organisms --- Physiological chemistry --- Chemistry --- Medical sciences --- Composition --- Markov --- Méthode de Monte Carlo --- Inférence --- GENETICS --- STATISTICS --- MONTE CARLO METHOD --- MARKOV CHAINS --- STATISTICS AND NUMERICAL DATA

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