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Adaptive Regression for Modeling Nonlinear Relationships

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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.

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Detail Information

Series Title

Statistics for Biology and Health

Call Number

519.5 KNA a

Publisher

Cham, Switzerland : Springer., 2016

Collation

XXV, 372

Language

English

ISBN/ISSN

978-3-319-33946-7

Classification

519.5

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

Ed. 1

Subject(s)

Statistical Theory and Methods
Biostatistics

Specific Detail Info

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Statement of Responsibility

George J. Knafl, Kai Ding

Other Information

Cataloger

umi

Source

https://link.springer.com/content/pdf/10.1007/978-3-319-33946-7.pdf?pdf=button

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