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Author: Trevor Hastie
Publisher:
ISBN:
Category : Random walks (Mathematics)
Languages : en
Pages : 19
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Book Description
Author: Trevor Hastie
Publisher:
ISBN:
Category : Random walks (Mathematics)
Languages : en
Pages : 19
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Book Description
Author: T.J. Hastie
Publisher: Routledge
ISBN: 1351445960
Category : Mathematics
Languages : en
Pages : 356
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Book Description
This book describes an array of power tools for data analysis that are based on nonparametric regression and smoothing techniques. These methods relax the linear assumption of many standard models and allow analysts to uncover structure in the data that might otherwise have been missed. While McCullagh and Nelder's Generalized Linear Models shows how to extend the usual linear methodology to cover analysis of a range of data types, Generalized Additive Models enhances this methodology even further by incorporating the flexibility of nonparametric regression. Clear prose, exercises in each chapter, and case studies enhance this popular text.
Author: STANFORD UNIV CA DEPT OF STATISTICS.
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
Generalized additive models extended the class of generalized linear models by allowing an arbitrary smooth function for any or all of the covariates. The functions are established by the local scoring procedure, using a smoother as a building block in an iterative algorithm. This paper utilizes a cubic spline smoother in the algorithm and show how the resultant procedure can be view as a method for automatically smoothing a suitably defined partial residual, and more formally, a method for maximizing a penalized likelihood. The authors also examine convergence of the inner (backfitting) loop in this case and illustrate these ideas with some binary response data. Keywords: Spline; Non-parametric regression.
Author: Daowen Zhang
Publisher:
ISBN:
Category :
Languages : en
Pages : 342
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Book Description
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 330
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Book Description
Author: Daniel B Wright
Publisher: SAGE
ISBN: 1446206025
Category : Mathematics
Languages : en
Pages : 217
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Book Description
Statistics is the language of modern empirical social and behavioural science and the varieties of regression form the basis of this language. Statistical and computing advances have led to new and exciting regressions that have become the necessary tools for any researcher in these fields. In a way that is refreshingly engaging and readable, Wright and London describe the most useful of these techniques and provide step-by-step instructions, using the freeware R, to analyze datasets that can be located on the books′ webpage: www.sagepub.co.uk/wrightandlondon. Techniques covered in this book include multilevel modeling, ANOVA and ANCOVA, path analysis, mediation and moderation, logistic regression (generalized linear models), generalized additive models, and robust methods. These are all tested out using a range of real research examples conducted by the authors in every chapter. Given the wide coverage of techniques, this book will be essential reading for any advanced undergraduate and graduate student (particularly in psychology) and for more experienced researchers wanting to learn how to apply some of the more recent statistical techniques to their datasets. The Authors are donating all royalties from the book to the American Partnership for Eosinophilic Disorders.
Author: George J. Knafl
Publisher: Springer
ISBN: 331933946X
Category : Medical
Languages : en
Pages : 384
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Book Description
This book presents methods for investigating whether relationships are linear or nonlinear and for adaptively fitting appropriate models when they are nonlinear. Data analysts will learn how to incorporate nonlinearity in one or more predictor variables into regression models for different types of outcome variables. Such nonlinear dependence is often not considered in applied research, yet nonlinear relationships are common and so need to be addressed. A standard linear analysis can produce misleading conclusions, while a nonlinear analysis can provide novel insights into data, not otherwise possible. A variety of examples of the benefits of modeling nonlinear relationships are presented throughout the book. Methods are covered using what are called fractional polynomials based on real-valued power transformations of primary predictor variables combined with model selection based on likelihood cross-validation. The book covers how to formulate and conduct such adaptive fractional polynomial modeling in the standard, logistic, and Poisson regression contexts with continuous, discrete, and counts outcomes, respectively, either univariate or multivariate. The book also provides a comparison of adaptive modeling to generalized additive modeling (GAM) and multiple adaptive regression splines (MARS) for univariate outcomes. The authors have created customized SAS macros for use in conducting adaptive regression modeling. These macros and code for conducting the analyses discussed in the book are available through the first author's website and online via the book’s Springer website. Detailed descriptions of how to use these macros and interpret their output appear throughout the book. These methods can be implemented using other programs.
Author: Stanford University. Department of Statistics
Publisher:
ISBN:
Category : Random walks (Mathematics)
Languages : en
Pages : 41
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Book Description
Likelihood based regression models, such as the normal linear regression model and the linear logistic model, assume a linear (or some other parametric) form for the covariate effects. The authors introduce the Local Scoring procedure which is applicable to any likelihood-based regression model: the class of Generalized Linear Models contains many of these. In this class the Local Scoring procedure replaces a linear predictor by a additive predictor; hence the name Generalized Additive Models. Local Scoring can also be applied to non-standard models like Cox's proportional hazards model for survival data.
Author: David E. Reisner
Publisher: CRC Press
ISBN: 1420007734
Category : Medical
Languages : en
Pages : 368
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Book Description
As the impact and importance of nanotechnology continues to grow, nanomedicine and biotechnology have become areas of increased development. Drug delivery by nanoparticulates and nanocoatings for medicial devices are among the many new techniques on the horizon. Years from now we will laugh at the approaches to treating disease we currently conside
Author: Trevor Hastie
Publisher:
ISBN: 9780203753781
Category : MATHEMATICS
Languages : en
Pages : 335
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Book Description
