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 Scope All of NCUIR 理學院    統計研究所       --博碩士論文 Tips: please add "double quotation mark" for query phrases to get precise resultsplease goto advance search for comprehansive author search Adv. Search
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 Please use this identifier to cite or link to this item: `http://ir.lib.ncu.edu.tw/handle/987654321/7744`

 Title: 混合先驗分佈下誤差項為自我迴歸之線性混合效應模型的貝氏分析;Bayesian Inference on the Linear Mixed-Effect Models with Autoregressive Errors Using Mixture Priors Authors: 張逸塵;Yi-chen Zhang Contributors: 統計研究所 Keywords: 自我迴歸模型;吉比氏抽樣法;混合先驗分佈;隨機效應;固定效應;貝氏預測;中位機率模型;Fixed effect;Random effect;Mixture prior;Gibbs sampling;AR(1) model;Median probability model;Bayesian prediction Date: 2009-06-10 Issue Date: 2009-09-22 11:03:46 (UTC+8) Publisher: 國立中央大學圖書館 Abstract: 本文主要目的在於探討誤差項具自我迴歸之貝氏線性混合效應模型。經由混合先驗分佈，找出顯著的固定效應與隨機效應變數，進而得到中位機率模型，並由該模型進行貝氏之推論與預測。最後將此模型應用在一組高血糖和相對高胰島素血症，對於葡萄糖的容忍度實驗之資料中，結果顯示，本文提出的方法可以提供準確的預測。 In this thesis, we address the problem of Bayesian linear mixed effects model with auto-regressive errors. We consider a mixture prior to identify subsets of covariates having nonzero fixed effect coefficients or nonzero random effects variance, and eventually obtain a median probability model, which is utilized for Bayesian inference and prediction. Finally, the proposed method is applied to a study of the association of hyperglycemia and relative hyperinsulinemia, and it yields very accurate prediction results. Appears in Collections: [統計研究所] 博碩士論文

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