在醫學研究中，經常受限於資料蒐集的方式，獲得具備右截斷特性的資料(right truncated data)。針對此類特性資料的存活函數之估計與檢定方法，Lagakos, Barraj和Gruttola (1988)建議將時間軸反轉(reverse time)後，應用加權對數序和統計量(weighted logrank test)檢定兩組存活函數。當截斷時間的分布可以用參數方法估計時，Bilker和Wang (1996)推廣Mann-Whitney統計量，檢定兩組存活函數是否相等。因為Lagakos et al. (1988)之方法需將時間軸反轉，在應用時較不易被研究人員所瞭解，此外，Bilker和Wang (1996)的方法需對截斷時間的分布有所知，並非無母數方法。所以本論文將針對此特性資料，以兩組估計的條件存活函數的差異為依據推導出無母數檢定方法，並用模擬方式探討本論文所建議的檢定方法之特性與適用性。

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