Linear models : an integrated approach:
Linear Models: An Integrated Approach aims to provide a clear and deep understanding of the general linear model using simple statistical ideas. Elegant geometric arguments are also invoked as needed and a review of vector spaces and matrices is provided to make the treatment self-contained. Complex...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2003
|
| Series: | Series on multivariate analysis
v. 6 |
| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | Linear Models: An Integrated Approach aims to provide a clear and deep understanding of the general linear model using simple statistical ideas. Elegant geometric arguments are also invoked as needed and a review of vector spaces and matrices is provided to make the treatment self-contained. Complex, matrix-algebraic methods, such as those used in the rank-deficient case, are replaced by statistical proofs that are more transparent and that show the parallels with the simple linear model.This book has the following special features: use of simple statistical ideas such as linear zero functions and covariance adjustment to explain the fundamental as well as advanced concepts; emphasis on the statistical interpretation of complex algebraic results; a thorough treatment of the singular linear model, including the case of multivariate response; a unified discussion on models with a partially unknown dispersion matrix, including mixed-effects/variance-components models and models for spatial and time series data; insight into updates on the linear model and their connection with diagnostics, design, variable selection, the Kalman filter, etc.; an extensive discussion on the foundations of linear inference, along with linear alternatives to least squares; coverage of other special topics, such as collinearity, stochastic and inequality constraints, misspecified models, etc.; simpler proofs of numerous known results; pointers to current research through examples and exercises |
| Physical Description: | xxi, 622 p. ill |
| ISBN: | 9789812564900 |
Staff View
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| indexdate | 2024-07-10T07:57:43Z |
| institution | BVB |
| isbn | 9789812564900 |
| language | English |
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| spelling | Sengupta, Debasis Verfasser aut Linear models : an integrated approach Debasis Sengupta, Sreenivasa Rao Jammalamadaka Singapore World Scientific Pub. Co. c2003 xxi, 622 p. ill txt rdacontent c rdamedia cr rdacarrier Series on multivariate analysis v. 6 Linear Models: An Integrated Approach aims to provide a clear and deep understanding of the general linear model using simple statistical ideas. Elegant geometric arguments are also invoked as needed and a review of vector spaces and matrices is provided to make the treatment self-contained. Complex, matrix-algebraic methods, such as those used in the rank-deficient case, are replaced by statistical proofs that are more transparent and that show the parallels with the simple linear model.This book has the following special features: use of simple statistical ideas such as linear zero functions and covariance adjustment to explain the fundamental as well as advanced concepts; emphasis on the statistical interpretation of complex algebraic results; a thorough treatment of the singular linear model, including the case of multivariate response; a unified discussion on models with a partially unknown dispersion matrix, including mixed-effects/variance-components models and models for spatial and time series data; insight into updates on the linear model and their connection with diagnostics, design, variable selection, the Kalman filter, etc.; an extensive discussion on the foundations of linear inference, along with linear alternatives to least squares; coverage of other special topics, such as collinearity, stochastic and inequality constraints, misspecified models, etc.; simpler proofs of numerous known results; pointers to current research through examples and exercises Linear models (Statistics) Analysis of covariance Regression analysis Statistik (DE-588)4056995-0 gnd rswk-swf Lineares Modell (DE-588)4134827-8 gnd rswk-swf Statistik (DE-588)4056995-0 s Lineares Modell (DE-588)4134827-8 s 1\p DE-604 Jammalamadaka, S. Rao Sonstige oth Erscheint auch als Druck-Ausgabe 9789810245924 Erscheint auch als Druck-Ausgabe 9810245920 http://www.worldscientific.com/worldscibooks/10.1142/4674#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sengupta, Debasis Linear models : an integrated approach Linear models (Statistics) Analysis of covariance Regression analysis Statistik (DE-588)4056995-0 gnd Lineares Modell (DE-588)4134827-8 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4134827-8 |
| title | Linear models : an integrated approach |
| title_auth | Linear models : an integrated approach |
| title_exact_search | Linear models : an integrated approach |
| title_full | Linear models : an integrated approach Debasis Sengupta, Sreenivasa Rao Jammalamadaka |
| title_fullStr | Linear models : an integrated approach Debasis Sengupta, Sreenivasa Rao Jammalamadaka |
| title_full_unstemmed | Linear models : an integrated approach Debasis Sengupta, Sreenivasa Rao Jammalamadaka |
| title_short | Linear models : an integrated approach |
| title_sort | linear models an integrated approach |
| topic | Linear models (Statistics) Analysis of covariance Regression analysis Statistik (DE-588)4056995-0 gnd Lineares Modell (DE-588)4134827-8 gnd |
| topic_facet | Linear models (Statistics) Analysis of covariance Regression analysis Statistik Lineares Modell |
| url | http://www.worldscientific.com/worldscibooks/10.1142/4674#t=toc |
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