Aalen O O
Section of Medical Statistics, University of Oslo, Norway.
Stat Med. 1988 Nov;7(11):1121-37. doi: 10.1002/sim.4780071105.
I discuss the impact of individual heterogeneity in survival analysis. It is well known that this phenomenon may distort what is observed. A general class of mixing (or frailty) distributions is applied, extending a model of Hougaard. The extension allows part of the population to be non-susceptible, and contains the traditional gamma distribution as a special case. I consider the mixing of both a constant and a Weibull individual rate, and also discuss the comparison of rates from two populations. A number of practical examples are mentioned. Finally, I analyse two data sets, the main one containing data from the Norwegian Cancer Registry on the survival of breast cancer patients. The statistical analysis is of necessity speculative, but may still provide some insight.
我讨论了个体异质性在生存分析中的影响。众所周知，这种现象可能会扭曲所观察到的情况。应用了一类广义的混合（或脆弱性）分布，扩展了侯加德模型。这种扩展允许部分人群不易患病，并且包含传统的伽马分布作为特殊情况。我考虑了常数个体率和威布尔个体率的混合情况，还讨论了两个群体率的比较。文中提到了一些实际例子。最后，我分析了两个数据集，主要数据集包含来自挪威癌症登记处的乳腺癌患者生存数据。统计分析必然具有推测性，但仍可能提供一些见解。
