淡江大學機構典藏:Item 987654321/115289
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/115289


    Title: 病例對照研究下多元羅吉斯模型的動差形式適合度檢定
    Other Titles: A Moment-Type Goodness-Of-Fit Test of Multinomial Logistic Model Based on Case-Control Studies
    Authors: 陳麗菁
    Date: 2016-11-16
    Issue Date: 2018-10-18 12:13:53 (UTC+8)
    Abstract: 有賴統計軟體的方便,羅吉斯迴歸模式很容易被執行且被大量地使用,也因此在病例對照研究中羅吉斯迴歸模型適合度的評估愈趨重要。當研究中的反應變數為多個類別時,多元羅吉斯迴歸模型被廣泛地用來推論疾病與風險因子之間的關係。藉由推廣Qin and Zhang (1997)的想法到多元羅吉斯迴歸模型,本研究推導出各個病例組與對照組之間的比例關係。將此模型重參數化後,本研究發現多元羅吉斯迴歸模型等價於多組的半參數化模型,並以此推論迴歸參數的半參數最大概似估計量。為了檢測模型的合適性,本研究將推廣Chen and Wang (2013)的方法,建立病例對照資料下多元羅吉斯迴歸模型的動差形式檢定統計量。進一歩地擬推論該檢定統計量在虛無假設下的漸進分配,並透過一些模擬研究以評估該檢定的型I誤比率和檢定力。最後將以幾組實際資料示範該檢定的執行。
    Appears in Collections:[Graduate Institute & Department of Statistics] Research Paper

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