; z; Department of Statistics and Division of Biostatistics; Stanford University; = ff + fi 1 x 1 +: : : + fi p x p (1); y; Department of Statistics, Sequoia Hall, Stanford University, Stanford California 94305;
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ABSTRACT
This article describes flexible statistical methods that may be used to identify and characterize nonlinear regression effects. These methods are called "generalized additive models". For example, a commonly used statistical model in medical research is the logistic regression model for binary data. Here we relate the mean of the binary response ¯ = P (y = 1) to the predictors via a linear regression model and the logit link function: log