Tests for Spatial Randomness in Cancer Maps

描述（由申请人提供）：癌症地图可以提供重要线索 关于病因学、预防、筛查或 癌症的治疗。在所有的医学研究中，重要的是要确定 观察到的任何变化是否合理地归因于偶然性。这可以 使用空间随机性测试来完成， 地理人口密度。已经提出了许多这样的测试，但对于 大多数人对它们的特性知之甚少，它们很少被用于 癌症图谱在这个方法论项目中，我们将（i）发展理论 任何空间随机性测试都应该满足的属性， 对癌症地图有用，（ii）确定哪些检验统计量做和不做 满足这些属性，（iii）评估不同的统计能力 （四）不同备选假设的检验统计量; 不同的测试估计聚类模型参数的能力，当空 假设被拒绝，和（v）评估和ifillate的实际使用 不同的测试统计，在其他数据集，县为基础的脑癌， 来自美国的死亡率数据和单独地理编码的乳腺癌 来自康涅狄格州的治疗数据。

DESCRIPTION (provided by applicant): Cancer maps can provide important clues concerning geographical variability in the etiology, prevention, screelling or treatment of cancer. As in all medical research, it ts important to determine whether any variation observed may reasonably be due to chance or not. This can be done using tests for spatial randomness, adjusting for the uneven geographical population density. Many such tests have been proposed, but for most, little is known about their properties, and they are seldomly used in cancer atlases. In this methodological project we will (i) develop theoretical properties that any test for spatial randomness should fulfill in order to be useful for cancer maps, (ii) determine which test statistics do and do not fulfifi these properties, (iii) evaluate the statistical power of different test statistics for different alternative hypotheses, (iv) determine the ability of different tests to estimate cluster model parameters when the null hypothesis is rejected, and (v) evaluate and ifiustrate the practical use of different test statistics on, among other data sets, county based brain cancer mortality data from the United States and individually geocoded breast cancer treatment data from Connecticut.