Innovative Spatial Survival Models with Geographically Varying Coefficients

描述（由申请人提供）：我们将开发一个通用的“扩展风险”空间生存模型，以预测癌症生存的地理效应和地理变化效应。该模型可以包括比例风险空间生存模型和加速失效时间空间生存模型作为其特例。此外，新模型可以正确识别癌症生存的地理效应和地理差异效应。所提出的模型的性能将通过全面的模拟研究进行评估。为了证明所提出的模型的使用，我们将应用所提出的方法来分析前列腺癌在路易斯安那州的监测，流行病学和最终结果程序，和前列腺癌数据集从南卡罗来纳州中央癌症登记处（SCCCR）。该软件的开发将解决实际中的计算问题，并使从业者和研究人员能够轻松地应用所提出的方法。

DESCRIPTION (provided by applicant): We will develop a general "extended hazard" spatial survival model to predict geographical effects and geo- graphically varying effects in cancer survival. The proposed model can include the proportional hazards spatial survival model and the accelerated failure time spatial survival model as its special cases. Furthermore, the new model can correctly identify the geographical effects and geographically varying effects in cancer survival. The performance of the proposed model will be evaluated by a comprehensive simulation study. To demonstrate the usage of the proposed model, we will apply the proposed method to analyze prostate cancer within Louisiana from the Surveillance, Epidemiology, and End Results program, and prostate cancer data set from South Carolina Central Cancer Registry (SCCCR). The software development will solve the computational issue in practice and will enable the practitioners and researchers apply the proposed method easily.