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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/101593


    Title: 具狀態指標缺失之現狀資料的權重逆機率方法
    Other Titles: Inverse probability weighted method for current status data with missing status indicator
    Authors: 王姿蓉;Wang, Tzu-Jung
    Contributors: 淡江大學數學學系碩士班
    溫啟仲;Wen, Chi-Chung
    Keywords: 現狀資料;替代指標;骨質疏鬆症;隨機缺失;Current Status Data;Surrogate for status indictor;Osteoporosis;Missing at random
    Date: 2014
    Issue Date: 2015-05-01 16:11:17 (UTC+8)
    Abstract: 在人口統計調查或生物醫學研究中,常遇到現狀資料,其中資料的觀測值包含檢查時間及關心的事件是否在檢查時間時已經發生的現狀指標。在本論文中,我們提出了權重逆機率的估計方法來分析現狀指標可能缺失但其替代指標可得的現狀資料。我們的方法建立在正比例存活風險模型及隨機缺失的假設下。模擬結果驗證了我們所提的估計量具有漸進常態性且校正了直接忽略缺失資料的完整資料分析方法所產生的偏誤。除此之外,我們也以骨質疏鬆症的資料分析來作為所提方法的例證說明。
    Current status data are commonly encountered in demographic or biomedical studies, in which the observation consists of an examination time and a status indicator for whether or not the event of interest has occurred by the examination time. In this thesis, we propose an inverse probability weighted method for analyzing current status data where the status indicator is subject to missing but a surrogate for status indictor is available instead. Our method is based on the proportional hazards survival model and missing at random mechanism. Simulation results confirm that the proposed estimator is asymptotically normal and it removes the bias resulted from the naive “complete case” analysis discarding subjects with missing value. Besides we illustrate our proposal by analyzing an osteoporosis survey data.
    Appears in Collections:[數學學系暨研究所] 學位論文

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