現狀數據的加法性涉險函數模型在共變數有測量誤差時之分析

The analysis of current status data in additive hazards model when covariates are subject to measurement errors

許玉華(Yu-Hua Hsu)

指導教授 ： 黃逸輝

共同指導教授 ： 溫啟仲(Chi-Chung Wen)

淡江大學/理學院/數學學系博士班/博士(2015年)

https://doi.org/10.6846/TKU.2015.00368

摘要

在統計學中，存活分析(survival analysis)特別是指應變數為存活時間或事件發生時間的相關統計分析，這類研究常存在不同的領域中，例如臨床試驗、醫學、生物醫學、流行病理學等等。然而並非所有的觀察對象其被追蹤(follow-up)的時間都足夠，現狀數據(current status data)是常見的存活設限資料。
當共變數有測量誤差(measurement error)時，如果忽略測量誤差，會導致估計值的偏差，處理這個問題有校正分數(corrected score)函數、條件分數(conditional score)函數等常被使用的誤差校正方法；最近提出的延伸校正分數(extensively corrected score)，可以解決分數函數不偏估計式不存在時的困境，是另一個可供選擇的方法。
現狀數據的加法性涉險模型在共變數有測量誤差時，目前尚無相關論文探討。因此，我們利用此模型具有可以轉換成比例性涉險模型的特性，針對此問題提出我們的做法。

關鍵字

存活分析 ； 現狀數據 ； 右設限資料 ； 測量誤差 ； 加法性涉險模型 ； 比例性涉險模型 ； 校正分數 ； 條件分數 ； 延伸校正分數。

並列摘要

The need for analyzing time-to-event data can arise in a number of applied fields, such as medicine, biology, public health, epidemiology, engineering, economics and demography. A common feature of such data sets is that the event time may not be known completely due to censorings or truncations. In current status data, the event time is not observed directly and is only known to lies before some examining time or not. We consider the estimation problems for current status data under the assumption of additive hazards models when covariates are subject to homogeneous measurement errors.
We proposed to adopt the point of view from Lin, Oakes and Ying(1998) to transform the problem to a Cox proportional hazard model with right censored data. Nevertheless, the measurement errors in “covariates” become heterogeneous after transform. Some modifications were then developed to accommodate such heterogeneous errors for conventional analyzing methods that include corrected score, conditional score and a newly developed method--the extensively corrected score. Our proposal is shown to perform well in simulation study and is applied to diabetes survey data as an illustration of implementation.

並列關鍵字

current status data ； right censored data ； measurement error ； additive hazards model ； proportional hazards model ； corrected score ； conditional score ； extensively corrected score.

參考文獻

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