交通大學、清華大學統計學研究所
專題演講
時間 95年11月17日(星期五)上午10:40-11:30
(上午10:20-10:40茶會於交大統計所428室舉行)
地點 交大綜合一館427室
主講人 丘政民教授（中研院統計所）
講題 Regression Diagnostics for Functional Regression Models
摘要
Methods of regression diagnostics for functional regression models are
developed which relate a functional response to predictor variables that can
be multivariate vectors or random functions. For this purpose, a residual
process is defined by subtracting the predicted from the observed response
functions. Graphical methods based on the functional principal component
scores of observed and fitted functions can be used to complement more formal
tests. For the case of a univariate covariate, a randomization test is proposed
based on these scores to examine if the residual process depends on the
covariate. These methods are illustrated with real data applications.
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