Coordinate Free Multivariable Statistics
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Coordinate Free Multivariable Statistics
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Author : Mervyn Stone
language : en
Publisher: Oxford University Press, USA
Release Date : 1987
Coordinate Free Multivariable Statistics written by Mervyn Stone and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Language Arts & Disciplines categories.
This elementary, self-contained book overcomes the well-known obstacles to full and proper deployment of the geometrical approach to linear statistical method. Topics covered range from the general linear model of Gauss, via Bayes estimation, to the Kalman filter. There are over 60 fully documented figures portraying vector spaces, orthogonal projections, and related items. The basic operations of linear statistical method do not change with the coordinate system. Their treatment is therefore naturally coordinate-free. The book's main novelty lies in its consistent use of separate, dual vector spaces for 'variables' and 'individuals', and of covariance operators as bridges betwen them. The necessary linear algebra for this is included, based on snippets from the famous textbook on vector spaces by P.R. Halmos. A feature of the new approach is its exploitation of a statistically felicitous notation for certain linear and bilinear operators, giving multivariable statistical formulae a simpler 'univariate' look.
Principles Of Multivariate Analysis
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Author : Wojtek Krzanowski
language : en
Publisher: OUP Oxford
Release Date : 2000-09-28
Principles Of Multivariate Analysis written by Wojtek Krzanowski and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-28 with Mathematics categories.
This book is an introduction to the principles and methodology of modern multivariate statistical analysis. It is written for the user and potential user of multivariate techniques as well as for students coming to the subject for the first time. The author's emphasis is problem-orientated and he is at pains to stress geometrical intuition in preference to algebraic manipulation. Mathematical sections that are not essential for a practical understanding of the techniques are clearly indicated so that they may be skipped by the non-specialist. Discrete and mixed variable techniques are presented as well as continuous variable techniques to give a comprehensive coverage of the subject. This updated edition includes a new appendix which traces developments that have taken place in the years since the publication of the first edition and which clarifies some issues raised by readers of the original text. References to about 60 recent books and articles supplement the material in this appendix. Overall, this volume provides an up-to-date and readable practical account of the subject, both for students of statistics and for research workers in subjects as diverse as anthropology, education, industry, medicine and taxonomy. The new edition includes a survey of the most recent developments in the subject.
Bilinear Regression Analysis
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Author : Dietrich von Rosen
language : en
Publisher: Springer
Release Date : 2018-08-02
Bilinear Regression Analysis written by Dietrich von Rosen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-02 with Mathematics categories.
This book expands on the classical statistical multivariate analysis theory by focusing on bilinear regression models, a class of models comprising the classical growth curve model and its extensions. In order to analyze the bilinear regression models in an interpretable way, concepts from linear models are extended and applied to tensor spaces. Further, the book considers decompositions of tensor products into natural subspaces, and addresses maximum likelihood estimation, residual analysis, influential observation analysis and testing hypotheses, where properties of estimators such as moments, asymptotic distributions or approximations of distributions are also studied. Throughout the text, examples and several analyzed data sets illustrate the different approaches, and fresh insights into classical multivariate analysis are provided. This monograph is of interest to researchers and Ph.D. students in mathematical statistics, signal processing and other fields where statistical multivariate analysis is utilized. It can also be used as a text for second graduate-level courses on multivariate analysis.
Nonlinear Models In Medical Statistics
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Author : James K. Lindsey
language : en
Publisher:
Release Date : 2001
Nonlinear Models In Medical Statistics written by James K. Lindsey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This text provides an introduction to the use of nonlinear models in medical statistics, It is a practical text rather than a theoretical one and assumes a basic knowledge in statistical modelling and of generalized linear models. The book first provides a general introduction to nonlinear models, comparing them to generalized linear models. It describes data handling and formula definition and summarises the principal types of nonlinear regression formulae. there is an emphasis on techniques for non-normal data.Following chapters provide detailed examples of applications in various areas of medicine, epidemiology, clinical trials, quality of life, pharmokinetics, pharmacodynamics, assays and formulations, and molecular genetics.The book concludes with appendicies describing data handling and model formulae in more detail, and given ways of modelling dependencies in repeated measurements, and data for the exercises.
Statistical Modelling In Glim 4
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Author : Murray A. Aitkin
language : en
Publisher: Oxford University Press, USA
Release Date : 2005
Statistical Modelling In Glim 4 written by Murray A. Aitkin and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.
"This text examines the theory of statistical modelling with generalised linear models. It also looks at applications of the theory to practical problems, using the GLIM4 package"--Provided by publisher.
Analysis Of Longitudinal Data
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Author : Peter Diggle
language : en
Publisher: Oxford University Press (UK)
Release Date : 2013-03-14
Analysis Of Longitudinal Data written by Peter Diggle and has been published by Oxford University Press (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Language Arts & Disciplines categories.
This second edition has been completely revised and expanded to become the most up-to-date and thorough professional reference text in this fast-moving area of biostatistics. It contains an additional two chapters on fully parametric models for discrete repeated measures data and statistical models for time-dependent predictors.
The Statistical Evaluation Of Medical Tests For Classification And Prediction
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Author : Margaret Sullivan Pepe
language : en
Publisher:
Release Date : 2003
The Statistical Evaluation Of Medical Tests For Classification And Prediction written by Margaret Sullivan Pepe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
The use of clinical and laboratory information to detect conditions and predict patient outcomes is a mainstay of medical practice. Modern biotechnology offers increasing potential to develop sophisticated tests for these purposes. This book describes the statistical concepts and techniques for evaluating the accuracy of medical tests. Worked examples include applications to cancer biomarker studies, prospective disease screening studies, diagnostic radiology studies and audiology testing studies. The statistical methodology can be broadly applied for evaluating classifiers and to problems beyond medical settings. Several measures for quantifying test accuracy are described including the Receiver Operating Characteristic Curve. Pepe presents statistical procedures for the estimation and comparison of those measures among tests. Regression frameworks for assessing factors that influence test accuracy and for comparing tests while adjusting for such factors are presented. The sequence of research steps involved in the development of a test is considered in some detail. Sample size calculations and other issues pertinent to study design are described for tests at various phases of development. In addition, the impacts of missing data and imperfect reference data are addressed. These problems often occur in practice, and modern statistical procedures for dealing with them are discussed. Additional topics that are covered include: meta-analysis for summarizing the results of multiple studies of a test; the evaluation of markers for predicting event time data; and procedures for combining the results of multiple tests to improve classification. This book should be of interest to quantitative researchers and practicing statisticians. The book also covers the theoretical foundations for statistical inference and should therefore be of interest to academic statisticians including those involved in statistical methodological research in this field.
Statistical Theory And Modelling
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Author : D.V. Hinkley
language : en
Publisher: Chapman and Hall/CRC
Release Date : 1991
Statistical Theory And Modelling written by D.V. Hinkley and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Statistical Theory and Modelling is a celebration of the work of Sir David Cox, FRS, and reflects his many interests in statistical theory and methods. It is a series of review articles, intended as an introduction to a variety of topics suitable for the graduate student and practicing statistician. Many of the topics are the subject of book-length treatments by Sir David and authors of this volume. Each chapter leads to a larger literature. Topics range the breadth of statistics and include modern degvelopments in statistical theory and methods. Special topics covered are generalized linear models, residuals and diagnostics, survival analysis, sequential analysis, time series, stochastic modelling of spatial data, design of experiments, likelihood inference and statistical approximation.
Principles Of Multivariate Analysis
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Author : W. J. Krzanowski
language : en
Publisher: Oxford University Press, USA
Release Date : 1988
Principles Of Multivariate Analysis written by W. J. Krzanowski and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Language Arts & Disciplines categories.
An introduction to the principles and methodology of modern multivariate statistical analysis, covering recent developments and stressing geometrical intuition rather than algebraic manipulation.
Journal Of Official Statistics
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Author :
language : en
Publisher:
Release Date : 1989
Journal Of Official Statistics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Statistical services categories.