Takahashi Kunihiko, Tango Toshiro
Department of Technology Assessment and Biostatistics, National Institute of Public Health, 2-3-6 Minami, Wako, Saitama 351-0197, Japan.
Stat Med. 2006 Mar 15;25(5):841-52. doi: 10.1002/sim.2419.
Several tests have been proposed to detect spatial disease clustering without prior information on their locations. In order to compare the performance of these tests, most authors employ the usual power, i.e. the rejection probability of the null hypothesis of no clustering due to various reasons. However, the usual power is not always appropriate for evaluating the cluster detection tests since their purpose is to both reject the null hypothesis and identify the cluster areas accurately. In this paper, we propose an extended power of the cluster detection tests, which includes the usual power as a special case. Further, we define the profile of the extended power, which can be expected to play an important role in the evaluation and comparison of several cluster detection tests. The proposed extended power and its profile are demonstrated by two tests--Kulldorff's circular spatial scan statistic and a flexible spatial scan statistic proposed by Tango and Takahashi.
已经提出了几种在没有疾病位置先验信息的情况下检测空间疾病聚集的检验方法。为了比较这些检验方法的性能，大多数作者采用常规功效，即由于各种原因无聚集的原假设的拒绝概率。然而，常规功效并不总是适合评估聚集检测检验，因为它们的目的是既要拒绝原假设，又要准确识别聚集区域。在本文中，我们提出了聚集检测检验的扩展功效，它将常规功效作为一种特殊情况包含在内。此外，我们定义了扩展功效的轮廓，预期它在几种聚集检测检验的评估和比较中发挥重要作用。通过两种检验方法——Kulldorff的圆形空间扫描统计量以及Tango和高桥提出的灵活空间扫描统计量，展示了所提出的扩展功效及其轮廓。
