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Latent Roots And Latent Vectors
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Book Synopsis Applied Matrix Algebra in the Statistical Sciences by : Alexander Basilevsky
Download or read book Applied Matrix Algebra in the Statistical Sciences written by Alexander Basilevsky and published by Courier Corporation. This book was released on 2013-01-18 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive text offers teachings relevant to both applied and theoretical branches of matrix algebra and provides a bridge between linear algebra and statistical models. Appropriate for advanced undergraduate and graduate students. 1983 edition.
Book Synopsis Regression Analysis and its Application by : Richard F. Gunst
Download or read book Regression Analysis and its Application written by Richard F. Gunst and published by Routledge. This book was released on 2018-04-27 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regression Analysis and Its Application: A Data-Oriented Approach answers the need for researchers and students who would like a better understanding of classical regression analysis. Useful either as a textbook or as a reference source, this book bridges the gap between the purely theoretical coverage of regression analysis and its practical application. The book presents regression analysis in the general context of data analysis. Using a teach-by-example format, it contains ten major data sets along with several smaller ones to illustrate the common characteristics of regression data and properties of statistics that are employed in regression analysis. The book covers model misspecification, residual analysis, multicollinearity, and biased regression estimators. It also focuses on data collection, model assumptions, and the interpretation of parameter estimates. Complete with an extensive bibliography, Regression Analysis and Its Application is suitable for statisticians, graduate and upper-level undergraduate students, and research scientists in biometry, business, ecology, economics, education, engineering, mathematics, physical sciences, psychology, and sociology. In addition, data collection agencies in the government and private sector will benefit from the book.
Book Synopsis Compositional Data Analysis in the Geosciences by : Antonella Buccianti
Download or read book Compositional Data Analysis in the Geosciences written by Antonella Buccianti and published by Geological Society of London. This book was released on 2006 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Karl Pearson wrote his paper on spurious correlation in 1897, a lot has been said about the statistical analysis of compositional data, mainly by geologists such as Felix Chayes. The solution appeared in the 1980s, when John Aitchison proposed to use Iogratios. Since then, the approach has seen a great expansion, mainly building on the idea of the `natural geometry' of the sample space. Statistics is expected to give sense to our perception of the natural scale of the data, and this is made possible for compositional data using Iogratios. This publication will be a milestone in this process.
Book Synopsis Statistical Design and Analysis of Experiments by : Peter W. M. John
Download or read book Statistical Design and Analysis of Experiments written by Peter W. M. John and published by SIAM. This book was released on 1998-01-01 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable reference on the design of experiments. Includes hard-to-find information on change-over designs and analysis of covariance.
Book Synopsis Statistical Factor Analysis and Related Methods by : Alexander T. Basilevsky
Download or read book Statistical Factor Analysis and Related Methods written by Alexander T. Basilevsky and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Factor Analysis and Related Methods Theory andApplications In bridging the gap between the mathematical andstatistical theory of factor analysis, this new work represents thefirst unified treatment of the theory and practice of factoranalysis and latent variable models. It focuses on such areasas: * The classical principal components model and sample-populationinference * Several extensions and modifications of principal components,including Q and three-mode analysis and principal components in thecomplex domain * Maximum likelihood and weighted factor models, factoridentification, factor rotation, and the estimation of factorscores * The use of factor models in conjunction with various types ofdata including time series, spatial data, rank orders, and nominalvariable * Applications of factor models to the estimation of functionalforms and to least squares of regression estimators
Book Synopsis Aspects of Multivariate Statistical Analysis in Geology by : E. Savazzi
Download or read book Aspects of Multivariate Statistical Analysis in Geology written by E. Savazzi and published by Elsevier. This book was released on 1999-11-24 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents multivariate statistical methods useful in geological analysis. The essential distinction between multivariate analysis as applied to full-space data (measurements on lengths, heights, breadths etc.) and compositional data is emphasized with particular reference to geochemical data. Each of the methods is accompanied by a practically oriented computer program and backed up by appropriate examples. The computer programs are provided on a compact disk together with trial data-sets and examples of the output.An important feature of this book is the graphical system developed by Dr. Savazzi which is entitled Graph Server. Geological data often deviate from ideal statistical requirements. For this reason, close attention has been paid to the analysis of data that contain atypical observations.
Book Synopsis Computer Programming in Quantitative Biology by : R.G. Davies
Download or read book Computer Programming in Quantitative Biology written by R.G. Davies and published by Elsevier. This book was released on 2012-12-02 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Programming in Quantitative Biology covers the general background of Fortran coding and the more sophisticated computer programs likely to be encountered in quantitative biology. It discusses the application of over 40 appropriate and easily adaptable programming techniques to problems of major biological interest. Organized into 15 chapters, the book starts by providing an introductory outline of computer structure and function needed to appreciate many basic programming procedures. A chapter discusses some general principles underlying Fortran coding and the use of digital computers, with emphasis on major features of Fortran IV. Other chapters present short introduction to the statistical or mathematical techniques in each of the main sections under which program are described. These chapters also provide some aspects of matrix algebra that are essential for serious statistical programming and offer a general guide to efficiency in programming. All complete programs are accompanied by a flowchart and a detailed discussion. This book is a valuable source of information for biologists, computational biologists, research biologists, undergraduate students, and advanced or specialized students of biology.
Book Synopsis Applied Multivariate Analysis by : S. James Press
Download or read book Applied Multivariate Analysis written by S. James Press and published by Courier Corporation. This book was released on 2012-09-05 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward upper-level undergraduates and graduate students, this two-part treatment deals with the foundations of multivariate analysis as well as related models and applications. Starting with a look at practical elements of matrix theory, the text proceeds to discussions of continuous multivariate distributions, the normal distribution, and Bayesian inference; multivariate large sample distributions and approximations; the Wishart and other continuous multivariate distributions; and basic multivariate statistics in the normal distribution. The second half of the text moves from defining the basics to explaining models. Topics include regression and the analysis of variance; principal components; factor analysis and latent structure analysis; canonical correlations; stable portfolio analysis; classifications and discrimination models; control in the multivariate linear model; and structuring multivariate populations, with particular focus on multidimensional scaling and clustering. In addition to its value to professional statisticians, this volume may also prove helpful to teachers and researchers in those areas of behavioral and social sciences where multivariate statistics is heavily applied. This new edition features an appendix of answers to the exercises.
Book Synopsis Vibration Analysis of Rotors by : Chong-Won Lee
Download or read book Vibration Analysis of Rotors written by Chong-Won Lee and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended for use as an advanced course in either rotordynamics or vibration at the graduate level. This text has mostly grown out of the research work in my laboratory and the lectures given to graduate students in the Mechanical Engineering Department, KAIST. The text contains a variety of topics not normally found in rotordynamics or vibration textbooks. The text emphasizes the analytical aspects and is thus quite different from conventional rotordynamics texts; potential readers are expected to have a firm background in elementary rotordynamics and vibration. In most previously published rotordynamics texts, the behavior of simple rotors has been of a primary concern, while more realistic, multi-degree-f-freedom or continuous systems are seldom treated in a rigorous way, mostly due to the difficulty of a mathematical treatment of such complicated systems. When one wanted to gain a deep insight into dynamic phenomena of complicated rotor systems, one has, in the past, either had to rely on computational techniques, such as the transfer matrix and finite element methods, or cautiously to extend ideas learned from simple rotors whose analytical solutions are readily available. The former methods are limited in the interpretation of results, since the calculations relate only to the simulated case, not to more general system behavior. Ideas learned from simple rotors can, fortunately, often be extended to many practical rotor systems, but there is of course no guarantee of their validity.
Book Synopsis A Course of Mathematics for Engineers and Scientists by : Brian H. Chirgwin
Download or read book A Course of Mathematics for Engineers and Scientists written by Brian H. Chirgwin and published by Elsevier. This book was released on 2016-06-06 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course of Mathematics for Engineers and Scientists, Volume 4 focuses on mathematical methods required in the more advanced parts of physics and engineering. Organized into five chapters, this book begins by elucidating vector analysis and the differential and integral operations and theorems concerning vectors. Chapter II shows solution of ordinary and some partial differential equations. Chapter III addresses the properties of Bessel, Legendre, Laguerre, and Hermite functions that commonly occur in the solution of boundary and initial value problems. The last two chapters detail the differential equations of field lines and level surfaces, as well as the matrices. This book will be useful to undergraduate students so that they can appreciate and use the mathematical methods required in the more advanced parts of physics and engineering.
Book Synopsis Computing Methods in Crystallography by : J. S. Rollett
Download or read book Computing Methods in Crystallography written by J. S. Rollett and published by Elsevier. This book was released on 2016-06-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing Methods in Crystallography is a collection of lectures delivered at a Summer School, held in Oxford in August 1962. The book presents the underlying mathematics and computing methods in crystallography. The text covers topics on the algebra required for the fundamental operations of transformation of coordinates, interpolation, approximation of trigonometric and exponential functions, solution of linear equations and derivation of latent roots and vectors; methods for calculation of structure factors, least-squares adjustment, and Fourier series evaluation; the theory and practice of intensity scaling and symmetry determination; and methods of direct phase determination. Crystallographers, physicists, and students in allied fields will find the book very useful.
Download or read book Archaeological Method written by and published by Cambridge University Press. This book was released on with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Principal Components Analysis by : George H. Dunteman
Download or read book Principal Components Analysis written by George H. Dunteman and published by SAGE. This book was released on 1989-05 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: For anyone in need of a concise, introductory guide to principal components analysis, this book is a must. Through an effective use of simple mathematical-geometrical and multiple real-life examples (such as crime statistics, indicators of drug abuse, and educational expenditures) -- and by minimizing the use of matrix algebra -- the reader can quickly master and put this technique to immediate use.
Book Synopsis Lambda-Matrices and Vibrating Systems by : Peter Lancaster
Download or read book Lambda-Matrices and Vibrating Systems written by Peter Lancaster and published by Elsevier. This book was released on 2014-07-10 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lambda-Matrices and Vibrating Systems presents aspects and solutions to problems concerned with linear vibrating systems with a finite degrees of freedom and the theory of matrices. The book discusses some parts of the theory of matrices that will account for the solutions of the problems. The text starts with an outline of matrix theory, and some theorems are proved. The Jordan canonical form is also applied to understand the structure of square matrices. Classical theorems are discussed further by applying the Jordan canonical form, the Rayleigh quotient, and simple matrix pencils with latent vectors in common. The book then expounds on Lambda matrices and on some numerical methods for Lambda matrices. These methods explain developments of known approximations and rates of convergence. The text then addresses general solutions for simultaneous ordinary differential equations with constant coefficients. The results of some of the studies are then applied to the theory of vibration by applying the Lagrange method for formulating equations of motion, after the formula establishing the energies and dissipation functions are completed. The book describes the theory of resonance testing using the stationary phase method, where the test is carried out by applying certain forces to the structure being studied, and the amplitude of response in the structure is measured. The book also discusses other difficult problems. The text can be used by physicists, engineers, mathematicians, and designers of industrial equipment that incorporates motion in the design.
Book Synopsis Advances in Morphometrics by : Leslie F. Marcus
Download or read book Advances in Morphometrics written by Leslie F. Marcus and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the NATO Advanced Study Institute, "Advances in Mor phometries" held in 11 Ciocco, Tuscany, Italy from July 18-30, 1993, and directed by Leslie F. Marcus. The "Advances in Morphometries" ASI was advertised in Nature and a number of professional journals. Announcements were sent to relevant institutions and departments throughout the world. Because NATO required that the majority of attendees be from NATO countries, the 71 persons attending represented nine NATO countries, four eastern European countries, now recognized as equal partners for AS Is, and a few participants from non-NATO countries. Participants were all active scholars in different disciplines within biology, as well as computer science, statistics, geology and paleontology. Their experience ranged from that of graduate students to senior faculty, as well as one emeritus scholar. A complete list of the those attending and their addresses, phone and FAX numbers and, where available, e-mail addresses is given in the participants list. All the local arrangements were made by Marco Corti and Anna Loy of the University of Rome "Ia Sapienza. " They made the initial contact with the II Ciocco conference center and then arranged for computer and Xerox rentals, design of logos, organization of posters, and publication of poster abstracts.
Book Synopsis A User's Guide to Principal Components by : J. Edward Jackson
Download or read book A User's Guide to Principal Components written by J. Edward Jackson and published by John Wiley & Sons. This book was released on 2005-01-21 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of A User’s Guide to Principal Components "The book is aptly and correctly named–A User’s Guide. It is the kind of book that a user at any level, novice or skilled practitioner, would want to have at hand for autotutorial, for refresher, or as a general-purpose guide through the maze of modern PCA." –Technometrics "I recommend A User’s Guide to Principal Components to anyone who is running multivariate analyses, or who contemplates performing such analyses. Those who write their own software will find the book helpful in designing better programs. Those who use off-the-shelf software will find it invaluable in interpreting the results." –Mathematical Geology
Book Synopsis Principles of Multivariate Analysis by : Wojtek Krzanowski
Download or read book Principles of Multivariate Analysis written by Wojtek Krzanowski and published by OUP Oxford. This book was released on 2000-09-28 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
