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Principal Component Analysis, Jolliffe I.T.



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Цена: 26729р.
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Автор: Jolliffe I.T.
Название:  Principal Component Analysis
Перевод названия: И.Джолиффе: Анализ главных компонентов
ISBN: 9780387954424
Издательство: Springer
Классификация:
ISBN-10: 0387954422
Обложка/Формат: Hardback
Страницы: 516
Вес: 0.938 кг.
Дата издания: 02.10.2002
Серия: Springer series in statistics
Язык: English
Издание: 2nd ed. 2002
Иллюстрации: 28 black & white illustrations, 28 black & white l
Размер: 243 x 166 x 35
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Дополнительное описание: Формат: 235x155
Илюстрации: 28
Круг читателей: Researchers, graduate students
Ключевые слова:
Язык: eng
Издание: 2nd ed.
Оглавление: Introduction * Properties of Population Principal Components * Properties of Sample Principal Components * Interpreting Principal Components: Examples * Graphical Representation of Data Using Principal Components * Choosing a Subset of Principal Components or Variables * Principal Component Analysis and Factor Analysis * Principal Components in Regression Analysis * Principal Components Used with Other Multivariate Techniques * Outlier Detection, Influential Observations and Robust Estimation * Rotation and Interpretation of Principal Components * Principal Component Analysis for Time Series and Other Non-Independent Data * Principal Component Analysis for Special Types of Data * Generalizations and Adaptations of Principal Component Analysis





Nonlinear Principal Component Analysis and Its Applications

Автор: Mori
Название: Nonlinear Principal Component Analysis and Its Applications
ISBN: 981100157X ISBN-13(EAN): 9789811001574
Издательство: Springer
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Цена: 7424 р.
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Описание:

This book expounds the principle and related applications of nonlinear principal component analysis (PCA), which is useful method to analyze mixed measurement levels data.
In the part dealing with the principle, after a brief introduction of ordinary PCA, a PCA for categorical data (nominal and ordinal) is introduced as nonlinear PCA, in which an optimal scaling technique is used to quantify the categorical variables. The alternating least squares (ALS) is the main algorithm in the method. Multiple correspondence analysis (MCA), a special case of nonlinear PCA, is also introduced. All formulations in these methods are integrated in the same manner as matrix operations. Because any measurement levels data can be treated consistently as numerical data and ALS is a very powerful tool for estimations, the methods can be utilized in a variety of fields such as biometrics, econometrics, psychometrics, and sociology.
In the applications part of the book, four applications are introduced: variable selection for mixed measurement levels data, sparse MCA, joint dimension reduction and clustering methods for categorical data, and acceleration of ALS computation. The variable selection methods in PCA that originally were developed for numerical data can be applied to any types of measurement levels by using nonlinear PCA. Sparseness and joint dimension reduction and clustering for nonlinear data, the results of recent studies, are extensions obtained by the same matrix operations in nonlinear PCA. Finally, an acceleration algorithm is proposed to reduce the problem of computational cost in the ALS iteration in nonlinear multivariate methods.
This book thus presents the usefulness of nonlinear PCA which can be applied to different measurement levels data in diverse fields. As well, it covers the latest topics including the extension of the traditional statistical method, newly proposed nonlinear methods, and computational efficiency in the methods.
Constrained Principal Component Analysis and Related Techniques

Автор: Takane
Название: Constrained Principal Component Analysis and Related Techniques
ISBN: 1466556668 ISBN-13(EAN): 9781466556669
Издательство: Taylor&Francis
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Цена: 15426 р.
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Описание: In multivariate data analysis, regression techniques predict one set of variables from another while principal component analysis (PCA) finds a subspace of minimal dimensionality that captures the largest variability in the data. How can regression analysis and PCA be combined in a beneficial way? Why and when is it a good idea to combine them? What kind of benefits are we getting from them? Addressing these questions, Constrained Principal Component Analysis and Related Techniques shows how constrained PCA (CPCA) offers a unified framework for these approaches. The book begins with four concrete examples of CPCA that provide readers with a basic understanding of the technique and its applications. It gives a detailed account of two key mathematical ideas in CPCA: projection and singular value decomposition. The author then describes the basic data requirements, models, and analytical tools for CPCA and their immediate extensions. He also introduces techniques that are special cases of or closely related to CPCA and discusses several topics relevant to practical uses of CPCA. The book concludes with a technique that imposes different constraints on different dimensions (DCDD), along with its analytical extensions. MATLAB® programs for CPCA and DCDD as well as data to create the book’s examples are available on the author’s website.

Independent Component Analysis

Автор: Roberts
Название: Independent Component Analysis
ISBN: 0521792983 ISBN-13(EAN): 9780521792981
Издательство: Cambridge Academ
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Цена: 18620 р.
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Описание: Series of edited papers on Independent Component Analysis, containing theory and applications.

Generalized Structured Component

Автор: Hwang
Название: Generalized Structured Component
ISBN: 146659294X ISBN-13(EAN): 9781466592940
Издательство: Taylor&Francis
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Цена: 15426 р.
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Описание: Winner of the 2015 Sugiyama Meiko Award (Publication Award) of the Behaviormetric Society of Japan Developed by the authors, generalized structured component analysis is an alternative to two longstanding approaches to structural equation modeling: covariance structure analysis and partial least squares path modeling. Generalized structured component analysis allows researchers to evaluate the adequacy of a model as a whole, compare a model to alternative specifications, and conduct complex analyses in a straightforward manner. Generalized Structured Component Analysis: A Component-Based Approach to Structural Equation Modeling provides a detailed account of this novel statistical methodology and its various extensions. The authors present the theoretical underpinnings of generalized structured component analysis and demonstrate how it can be applied to various empirical examples. The book enables quantitative methodologists, applied researchers, and practitioners to grasp the basic concepts behind this new approach and apply it to their own research. The book emphasizes conceptual discussions throughout while relegating more technical intricacies to the chapter appendices. Most chapters compare generalized structured component analysis to partial least squares path modeling to show how the two component-based approaches differ when addressing an identical issue. The authors also offer a free, online software program (GeSCA) and an Excel-based software program (XLSTAT) for implementing the basic features of generalized structured component analysis.

A User`s Guide to Principal Components

Автор: J. Edward Jackson
Название: A User`s Guide to Principal Components
ISBN: 0471471348 ISBN-13(EAN): 9780471471349
Издательство: Wiley
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Цена: 24321 р.
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Описание: Dealing with the "how to do it" as well as the `"why it works," this book is designed for practitioners of principal component analysis. It explores topics such as: extension to p variables, scaling input data, inferential procedures, operations with group data, and vector interpretation.


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