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| 离散型广义非线性纵向数据模型中偏离名义离差的检验及其功效模拟 | |
| 引用本文： | 林金官,韦博成,傅珏生. 离散型广义非线性纵向数据模型中偏离名义离差的检验及其功效模拟[J]. 应用数学, 2006, 19(2): 342-347 |
| 作者姓名： | 林金官 韦博成 傅珏生 |
| 作者单位： | 1. 东南大学数学系,江苏,南京,210096;江苏教育学院数学系,江苏,南京,210013 2. 东南大学数学系,江苏,南京,210096 3. 苏州大学数学科学学院,江苏,苏州,215006 |
| 基金项目： | 中国科学院资助项目;SSFC资助项目;东南大学校科研和教改项目 |
| 摘 要： | 离散型广义非线性模型包括Poisson,二项,负二项模型.本文讨论离散型广义非线性纵向数据模型中偏离名义离差的检验问题,得到了检验的score统计量,并利用MonteCarlo方法研究了检验统计量的性质.最后,利用杀虫剂数据说明了检验方法的应用. |
| 关 键 词： | 纵向数据 广义非线性模型 随机效应 名义离差 score检验 模拟功效 |
| 文章编号： | 1001-9847(2006)02-0342-06 |
| 收稿时间： | 2005-06-27 |
| 修稿时间： | 2005-06-27 |
Testing for Departures from Nominal Dispersion and Power Simulations in Discrete Generalized Nonlinear Models with Longitudinal Data |
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| LIN Jin-guan,WEI Bo-cheng,FU Jue-sheng. Testing for Departures from Nominal Dispersion and Power Simulations in Discrete Generalized Nonlinear Models with Longitudinal Data[J]. Mathematica Applicata, 2006, 19(2): 342-347 | |
| Authors: | LIN Jin-guan WEI Bo-cheng FU Jue-sheng |
| Affiliation: | 1. Dept. of Math. , Southeast University, Nanjing 210096, China; 2. Dept. of Math. , Jiangsu Institute of Education , Nanjing 210013 , China ; 3. Dept. of Math. , Suzhou University , Suzhou 215006 , China |
| Abstract: | Discrete exponential family nonlinear models include Poisson,binomial,and negative binomial models.This paper discusses the test for departures from nominal dispersion in the framework of discrete generalized nonlinear models with random effects for longitudinal data.The score test statistic is constructed.The properties of test statistic are investigated through Monte Carlo simulations.We illustrate our test method by the insecticide data. |
| Keywords: | Longitudinal data Generalized nonlinear models Nominal dispersion Score test Simulated power Random effects |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |