Qin Jing, Berwick Marianne, Ashbolt Rosie, Dwyer Terry
Department of Epidemiology and Biostatistics, Memorial Sloan-Kettering Cancer Center, New York, New York 10021, USA.
Biometrics. 2002 Sep;58(3):665-70. doi: 10.1111/j.0006-341x.2002.00665.x.
Melanoma incidence has increased throughout the world over the past 25 years. A surrogate for the severity of melanoma is the Breslow thickness of the lesions. Data on melanoma, including Breslow thickness, were collected in 1978-1980 and 1988-1990 from the Tasmania Tumor Registry. We use a density ratio model to quantify the change of melanoma by Breslow thickness. In this model, the ratio of two densities is assumed to have a known form up to a parameter, but the underlying densities are not modeled. This model includes the length bias sampling model as a special case. The Kolmogorov-Smirnov test statistic is used to test the correctness of the density ratio model. Model-based cumulative distribution estimation is studied. Methodology developed in this article is applied to the Tasmania Tumor Registry data.
在过去25年里，黑色素瘤的发病率在全球范围内都有所上升。黑色素瘤严重程度的一个替代指标是病变的 Breslow 厚度。1978 - 1980年以及1988 - 1990年期间，从塔斯马尼亚肿瘤登记处收集了包括 Breslow 厚度在内的黑色素瘤数据。我们使用密度比模型来量化不同 Breslow 厚度的黑色素瘤的变化情况。在这个模型中，假定两种密度的比值具有一种已知形式（取决于一个参数），但未对潜在的密度进行建模。该模型包含长度偏倚抽样模型作为一种特殊情况。使用柯尔莫哥洛夫 - 斯米尔诺夫检验统计量来检验密度比模型的正确性。研究了基于模型的累积分布估计。本文所开发的方法应用于塔斯马尼亚肿瘤登记处的数据。
