摘要
本文根据纵数据既包含个体又包含个体不同状态的特点 ,针对适应于纵数据的随机效应模型提出两种便于合理分析数据的扰动方案 ,并给出扰动对参数估计局部影响的各种计算公式和寻找影响点的方法 .通过对 Cambridge过滤嘴中提取尼古丁含量的实验室间数据进行分析表明我们的分析结果不但包含了以前许多学者用不同的方法对这组数据所进行的所有有关影响点方面的分析结果 。
Two types of perturbation schemes are proposed in terms of the characteristics of longitudinal data which include both individuals and individual cases.Local influential method and formulas of parameter estimates are provided under these perturbation schemes for random effects models.Also methods for detecting outliers and influential cases are given.The analysis of interlaboratory data on the amount of nicotine extracted from Cambridge filter pads is proceeded.Not only the numerical results based on analytically examining this data set cover many statisticians previous results obtained by means of other different methods but also we gain new information not discovered before.
出处
《数学理论与应用》
2000年第3期1-9,共9页
Mathematical Theory and Applications
基金
国家自然科学基金项目资助 !项目号 196 710 46
关键词
随机效应模型
纵数据
局部影响
诊断
参数估计
curvature,diagnostics,influence case,lifted lines,local influence,loglikelihood displacement,longitudinal data,outlier,perturbation,random effects models.
