Medical Research

Adaptive Regression for Modeling Nonlinear Relationships by George J. Knafl,Kai Ding

By George J. Knafl,Kai Ding

This publication offers equipment for investigating no matter if relationships are linear or nonlinear and for adaptively becoming acceptable types after they are nonlinear. info analysts will methods to comprise nonlinearity in a single or extra predictor variables into regression types for various kinds of end result variables. Such nonlinear dependence is frequently no longer thought of in utilized examine, but nonlinear relationships are universal and so must be addressed. a regular linear research can produce deceptive conclusions, whereas a nonlinear research gives you novel insights into facts, no longer differently possible. 

A number of examples of the advantages of modeling nonlinear relationships are awarded during the publication. equipment are coated utilizing what are referred to as fractional polynomials according to real-valued energy adjustments of basic predictor variables mixed with version choice in keeping with probability cross-validation. The booklet covers easy methods to formulate and behavior such adaptive fractional polynomial modeling within the usual, logistic, and Poisson regression contexts with non-stop, discrete, and counts results, respectively, both univariate or multivariate. The publication additionally offers 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 engaging in adaptive regression modeling. those macros and code for carrying out the analyses mentioned within the booklet can be found in the course of the first author's web site and on-line through the book’s Springer web site. specific descriptions of ways to exploit those macros and interpret their output seem through the booklet. those equipment could be applied utilizing different programs. 

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