GLMs and GAMs

David J. Olive
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David J. Olive: Southern Illinois University, Department of Mathematics

Chapter Chapter 13 in Linear Regression, 2017, pp 389-458 from Springer

Abstract: Abstract This chapter contains some extensions of the multiple linear regression model. See Definition 1.1 for the 1D regression model 1D regression model , sufficient predictor sufficient predictor (SP = h(x)), estimated sufficient predictor estimated sufficient predictor ( E S P = h ̂ ( x ) $$ESP =\hat{ h}(\mathbf{x})$$ ), generalized linear model generalized linear model (GLM), and the generalized additive model generalized additive model (GAM). When using a GAM to check a GLM, the notation ESP may be used for the GLM, and EAP (estimated additive predictor estimated additive predictor ) may be used for the ESP of the GAM. Definition 1.2 defines the response plot response plot of ESP versus Y.

Keywords: Generalize Linear Model; Ordinary Little Square; Generalize Additive Model; Logistic Curve; Identity Line (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/978-3-319-55252-1_13

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