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portada Basics of Matrix Algebra for Statistics With r (Chapman & Hall
Type
Physical Book
Year
2015
Language
English
Pages
248
Format
Hardcover
ISBN13
9781498712361
Edition No.
1
Categories

Basics of Matrix Algebra for Statistics With r (Chapman & Hall

Nick Fieller (Author) · Chapman And Hall/Crc · Hardcover

Basics of Matrix Algebra for Statistics With r (Chapman & Hall - Nick Fieller

Physical Book

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Synopsis "Basics of Matrix Algebra for Statistics With r (Chapman & Hall"

A Thorough Guide to Elementary Matrix Algebra and Implementation in R Basics of Matrix Algebra for Statistics with R provides a guide to elementary matrix algebra sufficient for undertaking specialized courses, such as multivariate data analysis and linear models. It also covers advanced topics, such as generalized inverses of singular and rectangular matrices and manipulation of partitioned matrices, for those who want to delve deeper into the subject. The book introduces the definition of a matrix and the basic rules of addition, subtraction, multiplication, and inversion. Later topics include determinants, calculation of eigenvectors and eigenvalues, and differentiation of linear and quadratic forms with respect to vectors. The text explores how these concepts arise in statistical techniques, including principal component analysis, canonical correlation analysis, and linear modeling. In addition to the algebraic manipulation of matrices, the book presents numerical examples that illustrate how to perform calculations by hand and using R. Many theoretical and numerical exercises of varying levels of difficulty aid readers in assessing their knowledge of the material. Outline solutions at the back of the book enable readers to verify the techniques required and obtain numerical answers. Avoiding vector spaces and other advanced mathematics, this book shows how to manipulate matrices and perform numerical calculations in R. It prepares readers for higher-level and specialized studies in statistics.

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