EXPLORING PARTIAL RESIDUAL PLOTS
EXPLORING PARTIAL RESIDUAL PLOTS
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DOI：
10.2307/1270269
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发表时间：
1993-11-01
期刊：
影响因子：
2.5
通讯作者：
COOK, RD
中科院分区：
文献类型：
--
作者：
COOK, RD
Partial residual plots have a long history and, judging from their prominence in the literature, are frequently used. In this article, I explore the structure and usefulness of partial residual plots and augmented partial residual plots as basic tools for dealing with curvature as a function of selected covariates x(2) in regression problems in which the covariate vector x is partitioned as x(T) = (x(1)(T), X(2)(T) ). The usefulness of these plots for obtaining a good impression of curature can depend on the behavior of the covariates through the conditional expectation E(x(1)/x(2)). Partial residual plots seem to perform best under linear conditional expectations. Augmented partial residual plots allow E(x(1)/x(2)) to be a quadratic function of X(2). This development leads to a new class of plots, called CERES plots, that includes partial and augmented partial residual plots as special cases. CERES plots may be useful for obtaining an impression of curvature as a function of X(2) when the conditional expectations E(x(1)/x(2)) are neither linear nor quadratic. The relationship between these developments and generalized additive models is discussed as well.
