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Books > Science & Mathematics > Biology, life sciences > Life sciences: general issues
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Adaptive Regression for Modeling Nonlinear Relationships (Hardcover, 1st ed. 2016)
Loot Price: R2,751
Discovery Miles 27 510
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Adaptive Regression for Modeling Nonlinear Relationships (Hardcover, 1st ed. 2016)
Series: Statistics for Biology and Health
Expected to ship within 12 - 19 working days
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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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