具有隨機效應及測量誤差之對數線性模型的參數估計方法

機構典藏 > College of Sciences > Graduate Institute & Department of Mathematics > Thesis > Item 987654321/102156

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Title:	具有隨機效應及測量誤差之對數線性模型的參數估計方法
Other Titles:	The estimation of the log-linear model with measurement errors and random effects
Authors:	丁怡皓;Ting, Yi-Hao
Contributors:	淡江大學數學學系碩士班黃逸輝
Keywords:	測量誤差;隨機效應;對數線性模型;延伸校正QVF估計法;measurement error;Random effect;Log-linear model;Extended corrected QVF score
Date:	2014
Issue Date:	2015-05-04 09:48:49 (UTC+8)
Abstract:	在自變數有測量誤差時,具有隨機效用的廣義線性模式的分析相當困難，主要原因是將隨機效用積分後的分配已不再是廣義線性模式，使得傳統上處理測量誤差的條件分數法或是校正分數法難以應用。本文主要探討對數線性在有測量誤差和隨機效用時的模型中，提出使用延伸校正QVF(quasilikelihood and variance function)的估計法，並與 Naive 、迴歸校正法及部分條件分數法三者作模擬比較。 There are not many literatures discuss the statistical inference when the measurement error and random effect exist in the generalized linear model. The main reason is that the distribution after integrating the random effect is no longer a generalized linear model, hence the conventional conditional score or corrected score are difficult in application. This paper discussed the estimation method when measurement error and random effect coexist in the log-linear model, the estimation was done by an extended corrected QVF score. We compare the efficient of the methods of Naive, regression calibration and partially conditional score with the proposed method by simulation studies.
Appears in Collections:	[Graduate Institute & Department of Mathematics] Thesis

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