Linear Statistical Models
ruj 2009. · John Wiley & Sons
E-knjiga
472
str.
reportOcjene i recenzije nisu potvrđene Saznajte više
O ovoj e-knjizi
Linear Statistical Models
Developed and refined over a period of twenty years, the material in this book offers an especially lucid presentation of linear statistical models. These models lead to what is usually called "multiple regression" or "analysis of variance" methodology, which, in turn, opens up a wide range of applications to the physical, biological, and social sciences, as well as to business, agriculture, and engineering. Unlike similar books on this topic, Linear Statistical Models emphasizes the geometry of vector spaces because of the intuitive insights this approach brings to an understanding of the theory. While the focus is on theory, examples of applications, using the SAS and S-Plus packages, are included. Prerequisites include some familiarity with linear algebra, and probability and statistics at the postcalculus level.
Major topics covered include:
* Methods of study of random vectors, including the multivariate normal, chi-square, t and F distributions, central and noncentral
* The linear model and the basic theory of regression analysis and the analysis of variance
* Multiple regression methods, including transformations, analysis of residuals, and asymptotic theory for regression analysis. Separate sections are devoted to robust methods and to the bootstrap.
* Simultaneous confidence intervals: Bonferroni, Scheffe, Tukey, and Bechhofer
* Analysis of variance, with two- and three-way analysis of variance
* Random component models, nested designs, and balanced incomplete block designs
* Analysis of frequency data through log-linear models, with emphasis on vector space viewpoint. This chapter alone is sufficient for a course on the analysis of frequency data.
Developed and refined over a period of twenty years, the material in this book offers an especially lucid presentation of linear statistical models. These models lead to what is usually called "multiple regression" or "analysis of variance" methodology, which, in turn, opens up a wide range of applications to the physical, biological, and social sciences, as well as to business, agriculture, and engineering. Unlike similar books on this topic, Linear Statistical Models emphasizes the geometry of vector spaces because of the intuitive insights this approach brings to an understanding of the theory. While the focus is on theory, examples of applications, using the SAS and S-Plus packages, are included. Prerequisites include some familiarity with linear algebra, and probability and statistics at the postcalculus level.
Major topics covered include:
* Methods of study of random vectors, including the multivariate normal, chi-square, t and F distributions, central and noncentral
* The linear model and the basic theory of regression analysis and the analysis of variance
* Multiple regression methods, including transformations, analysis of residuals, and asymptotic theory for regression analysis. Separate sections are devoted to robust methods and to the bootstrap.
* Simultaneous confidence intervals: Bonferroni, Scheffe, Tukey, and Bechhofer
* Analysis of variance, with two- and three-way analysis of variance
* Random component models, nested designs, and balanced incomplete block designs
* Analysis of frequency data through log-linear models, with emphasis on vector space viewpoint. This chapter alone is sufficient for a course on the analysis of frequency data.
O autoru
JAMES H. STAPLETON teaches in the Department of Statistics and Probability at Michigan State University.
Ocijenite ovu e-knjigu
Recite nam što mislite.
Informacije o čitanju
Pametni telefoni i tableti
Instalirajte aplikaciju Google Play knjige za Android i iPad/iPhone. Automatski se sinkronizira s vašim računom i omogućuje vam da čitate online ili offline gdje god bili.
Prijenosna i stolna računala
Audioknjige kupljene na Google Playu možete slušati pomoću web-preglednika na računalu.
Elektronički čitači i ostali uređaji
Za čitanje na uređajima s elektroničkom tintom, kao što su Kobo e-čitači, trebate preuzeti datoteku i prenijeti je na svoj uređaj. Slijedite detaljne upute u centru za pomoć za prijenos datoteka na podržane e-čitače.
