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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/94016

    Title: 評量現狀存活數據的比例勝算比假設
    Other Titles: Evaluating the proportional odds assumption with currentstatus survival data
    Authors: 張晏昇;Zhang, Yan-Sheng
    Contributors: 淡江大學數學學系碩士班
    Keywords: 現狀存活數據;比例勝算比假設;配適度指標;current status survival data;proportional odds assumption;goodness-of-fit indices
    Date: 2013
    Issue Date: 2014-01-23 13:47:49 (UTC+8)
    Abstract: 評量完整或右設限存活資料的迴歸診斷問題較已被廣泛的研究,但對於現狀存活數據卻很少。這裡的現狀存活數據包含檢查時間,一個在檢查時間知道毀壞事件是否已發生的狀態指標,以及共變量。在本論文中,我們建立四種方法來評量現狀存活數據的比例勝算比假設。 他們分別是「對數勝算比曲線圖」、「觀察與預期存活曲線圖」、「柯斯-斯奈爾殘差法」和「布萊爾-分數方法」來評量現狀存活數據資料的比例勝算比假設。同時提出四個方法相對應的配適度指標。模擬結果顯示所提方法的表現是不錯的,且以三個實例敘述所提方法的應用性。
    Regression diagnostic problems have been extensively studied for complete or right-censored survival data but so less for current status survival data. Here the current status survival data include an examination time, an status indicator for whether or not the failure has occurred by the examination time, and covariates. In this thesis, we have established four methods for evaluating the proportional odds assumption of current status survival data. They are the log odds curve plots, the observed and expected survival curve plots, the Cox-Snell residual method, and the Brier-score method. Also, the corresponding goodness-of-fit indices for four methods are proposed. Simulation results reveal good performance of the proposed methods and three real examples illustrate the applications of the proposed methods.
    Appears in Collections:[數學學系暨研究所] 學位論文

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