A Graphical Method of Checking the Adequacy of Linear Systematic Component in Generalized Linear Models

- Journal title : Communications for Statistical Applications and Methods
- Volume 15, Issue 1, 2008, pp.27-41
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2008.15.1.027

Title & Authors

A Graphical Method of Checking the Adequacy of Linear Systematic Component in Generalized Linear Models

Kim, Ji-Hyun;

Kim, Ji-Hyun;

Abstract

A graphical method of checking the adequacy of a generalized linear model is proposed. The graph helps to assess the assumption that the link function of mean can be expressed as a linear combination of explanatory variables in the generalized linear model. For the graph the boosting technique is applied to estimate nonparametrically the relationship between the link function of the mean and the explanatory variables, though any other nonparametric regression methods can be applied. Through simulation studies with normal and binary data, the effectiveness of the graph is demonstrated. And we list some limitations and technical details of the graph.

Keywords

Boosting;nonparametric regression;bootstrap confidence intervals;

Language

Korean

Cited by

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