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Constrained Principal Component Analysis and Related Techniques (Paperback) Loot Price: R1,469
Discovery Miles 14 690
Constrained Principal Component Analysis and Related Techniques (Paperback): Yoshio Takane

Constrained Principal Component Analysis and Related Techniques (Paperback)

Yoshio Takane

Series: Chapman & Hall/CRC Monographs on Statistics and Applied Probability

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Loot Price R1,469 Discovery Miles 14 690 | Repayment Terms: R138 pm x 12*

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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 (R) programs for CPCA and DCDD as well as data to create the book's examples are available on the author's website.

General

Imprint: Crc Press
Country of origin: United Kingdom
Series: Chapman & Hall/CRC Monographs on Statistics and Applied Probability
Release date: June 2020
First published: 2014
Authors: Yoshio Takane
Dimensions: 234 x 156mm (L x W)
Format: Paperback
Pages: 251
ISBN-13: 978-0-367-57628-8
Categories: Books > Science & Mathematics > Mathematics > Probability & statistics
Books > Social sciences > Psychology > Psychological methodology > General
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LSN: 0-367-57628-7
Barcode: 9780367576288

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