Basics of matrix algebra for statistics with R / Nick Fieller.
Material type:
TextSeries: Chapman & Hall/CRC the R seriesPublication details: Boca Raton : CRC Press, ©2016.Description: xviii, 226 p. : illustrations ; 24 cmISBN: - 9781498712361
- 000SA.055 23 F463
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 000SA.055 F463 (Browse shelf(Opens below)) | Available | 137080 |
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| 000SA.055 C911 Statistics : an introduction using R / | 000SA.055 D411 R student companion / | 000SA.055 Ef27 Computer age statistical inference : | 000SA.055 F463 Basics of matrix algebra for statistics with R / | 000SA.055 G618 Survey of statistical network models / | 000SA.055 H465 Statistical analysis and data display : | 000SA.055 H678 Handbook of univariate and multivariate data analysis with IBM SPSS / |
Includes bibliographical references and index.
1. Introduction --
2. Vectors and matrices --
3. Rank of matrices --
4. Determinats --
5. Inverses --
6. Eigenanalysis of real symmetric matrices --
7. Vector and matrix calculus --
8. Further topics --
9. Key applications to statistics
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.
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