Kafadar K
Department of Mathematics, University of Colorado-Denver 80217-3614, USA.
Ann Epidemiol. 1997 Jan;7(1):35-45. doi: 10.1016/s1047-2797(96)00101-9.
Prostate cancer mortality among whites and nonwhites in U.S. counties are analyzed for geographic effects. To better visualize geographical effects, the data are smoothed with a bivariate smoother using age-specific rates. Among nonwhites, an important explanatory variable is the proportion of African Americans. A relationship between the mortality rate and this variable is derived, and the data are adjusted for this variable using this relationship. When the rates are adjusted for age only, among whites there is a north-south gradient: rates are higher in the north, lower in the south. Among nonwhites, the gradient runs east to west: higher in the east, lower in the west. The latter gradient disappears when the rates are further adjusted for African Americans. The study reveals the importance of both smoothing the data to visualize patterns in geography and adjusting the data for an important variable to identify underlying patterns. The additional adjustment permits the identification of other areas of the country with elevated or depressed rates.
分析了美国各县白人和非白人前列腺癌死亡率的地理影响。为了更好地可视化地理影响,使用特定年龄率通过双变量平滑器对数据进行平滑处理。在非白人中,一个重要的解释变量是非洲裔美国人的比例。得出了死亡率与该变量之间的关系,并利用这种关系对数据进行了该变量的调整。仅对年龄进行调整时,白人中存在南北梯度:北部发病率较高,南部较低。在非白人中,梯度是从东到西:东部较高,西部较低。当对非洲裔美国人进行进一步调整时,后一种梯度消失。该研究揭示了对数据进行平滑处理以可视化地理模式以及对重要变量进行数据调整以识别潜在模式的重要性。额外的调整有助于识别该国其他发病率升高或降低的地区。