George J. Knafl,Kai Ding's Adaptive Regression for Modeling Nonlinear Relationships PDF

By George J. Knafl,Kai Ding

ISBN-10: 3319339443

ISBN-13: 9783319339443

This ebook offers equipment for investigating no matter if relationships are linear or nonlinear and for adaptively becoming acceptable types once they are nonlinear. information analysts will methods to comprise nonlinearity in a single or extra predictor variables into regression types for various varieties of end result variables. Such nonlinear dependence is usually no longer thought of in utilized learn, but nonlinear relationships are universal and so have to be addressed. a customary linear research can produce deceptive conclusions, whereas a nonlinear research delivers novel insights into info, now not in a different way possible. 

A number of examples of the advantages of modeling nonlinear relationships are offered in the course of the booklet. equipment are coated utilizing what are known as fractional polynomials in response to real-valued energy variations of basic predictor variables mixed with version choice in accordance with chance cross-validation. The booklet covers how you can formulate and behavior such adaptive fractional polynomial modeling within the general, logistic, and Poisson regression contexts with non-stop, discrete, and counts results, respectively, both univariate or multivariate. The e-book additionally presents a comparability of adaptive modeling to generalized additive modeling (GAM) and a number of adaptive regression splines (MARS) for univariate results.  

The authors have created custom-made SAS macros to be used in undertaking adaptive regression modeling. those macros and code for undertaking the analyses mentioned within the ebook can be found throughout the first author's web site and on-line through the book’s Springer web site. certain descriptions of the way to take advantage of those macros and interpret their output look through the booklet. those equipment might be applied utilizing different programs. 

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Adaptive Regression for Modeling Nonlinear Relationships (Statistics for Biology and Health) by George J. Knafl,Kai Ding

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