疾病空间分布趋势面模型的共线性偏倚及其测量与控制  

Measure and Control of Multi-collinearity Bias in Trend-surface Models for Spatial Distribution of Disease

作　　者：薛付忠[1] 王洁贞[1] 马吉祥[2] 张际文[1] 王振光[1] 

机构地区：[1]山东大学公共卫生学院,250012 [2]山东省疾病预防控制中心

出　　处：《中国卫生统计》2004年第2期81-84,共4页Chinese Journal of Health Statistics

基　　金：国家自然科学基金资助项目 (30 0 70 677)

摘　　要：目的　探讨趋势面分析中共线性偏倚及其测量与控制方法。方法　以疾病监测资料为基础 ,引用回归诊断方法识别趋势面模型的共线性偏倚 ,进一步用岭回归趋势面模型控制共线性偏倚。结果　趋势面分析往往存在共线性偏倚 ,利用岭回归趋势面分析可以在一定程度上控制共线性偏倚。结论　在作趋势面分析时应当考虑共线性偏倚对结果的影响 ,并设法予以控制。Objective To measure the multi-collinearity bias in trend-surface models and to control its impaction to the results of trend-surface analysis.Methods Based on the data of surveillance of disease, use the method of regression diagnostics to measure the multi-collinearity bias in the least square estimation trend-surface models ,and use the method of ridge regression to control the multi-collinearity bias in the least square estimation trend-surface models. Results there is multi-collinearity bias in the result of the least square estimation trend-surface model, use the method of ridge regression can control the multi-collinearity bias.Conclusion To the practice of trend-surface analysis in the study of geographical epidemiology, we should measure and control the multi-collinearity bias in trend-surface models.

关 键 词：地理流行病学 趋势面模型 共线性偏倚 岭回归 疾病监测 

分 类 号：R195[医药卫生—卫生统计学]