Study of Path Analysis of Causal Systems with generalized Linear Models

广义线性模型因果系统路径分析研究

• 批准号: 11680325
• 负责人: ESHIMA Nobuoki
• 金额: $ 2.3万
• 依托单位: Oita Medical University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11680325/
• 关键词: Categorical Variable; Causal system; Contingency Tsble; Effect Analysis; Path Analysis; ATL; HTLV-I; Infection system; Mathematical Model; Population Dynamics; 一般化線形モデル; 感染システム; エントロピー; カルバック=ライブラー情報; 対数オッズ比; 人T細胞白血病ウイルス; 差分方形式; categoric

In this research project, the following topics were studied: (i) path analysis of causal systems with categorical; and (ii) the infection system of Human T-cell Leukemia Virus Type I (HTLV-I). In (i), a path analysis with logit models, effect analysis of factors in a causal system, and properties of generalized linear and canonical exponential models in entropy were investigated. These results were published in Eshima, N & Tabata, M (1999, Behaviormetrika, 26, 221-233), Eshima, N et al. (2001, Journal of the Japan Statistical Society, 31, 1-14), and Eshima, et al. (2001, Journal of Japan Statistical Society, 31, 15-26). In (ii), population dynamics of HTLV-I was considered with a continuous-time model and a discrete-time one. The necessary and sufficient condition of extinction of the virus in a population was given. The results were published in Eshima, N et al. (2001, Statistics in Medicine, 20, 3891-3900) and Eshima, N et al. (2003, IMA Journal of Mathematics Applied in Medicine and Biology, 20, 1-17).

在本研究计划中，研究了以下主题：（i）因果系统与分类的通径分析;（ii）人类T细胞白血病病毒I型（HTLV-I）的感染系统。在（i）中，研究了logit模型的通径分析、因果系统中因素的效应分析以及广义线性模型和典型指数模型的熵性质。这些结果发表在Eshima，N & Tabata，M（1999，Behaviormetrika，26，221-233）、Eshima，N等人（2001，Journal of the Japan Statistical Society，31，1-14）和Eshima，等人（2001，Journal of Japan Statistical Society，31，15-26）中。在（ii）中，HTLV-I的种群动态被认为是连续时间模型和离散时间模型。给出了病毒在种群中灭绝的充分必要条件。结果发表在Eshima，N等人（2001，Statistics in Medicine，20，3891-3900）和Eshima，N等人（2003，IMA Journal of Mathematics Applied in Medicine and Biology，20，1-17）中。

项目成果

Eshima, N, Tabata, M, Kikuchi: "Analysis of the infection system of human T-cell leukemia virus type I based on a mathematical epidemic model"Statistics in Medicine. 20. 3891-3900 (2001)

Eshima，N，Tabata，M，Kikuchi：“基于数学流行病模型的人类 T 细胞白血病病毒 I 型感染系统分析”医学统计。

Nobuoki Eshima et al.: "Path analysis with logistic regression models: Effect analysis of fully recursive causal systems of categorical variables"Journal of the Japan Statistical Soociety. 31・1. 1-14 (2001)

Nobuoki Eshima 等：“逻辑回归模型的路径分析：分类变量的完全递归因果系统的效果分析”日本统计学会杂志 31・1（2001 年）。

Nobuoki Eshima: "Effect Analysis of Loglinear Approach to Path Analysis of Categorical Variables"Behaviormetrika. 26・2. 221-234 (1999)

Nobuoki Eshima：“对分类变量路径分析的对数线性方法的效果分析”Behaviormetrika 26・2（1999）。

Eshima, N & Tabata, M & Zhi, G: "Path analysis with logistic regression models: effect analysis of fully recursive causal systems of categorical variables"Journal of Japan Statistical Society. 31. 1-14 (2001)

北卡罗来纳州江岛

Nobuoki Eshima and Minoru Tabata: "Effect analysis of loglinear model approach to path analysis of categorical variables"Behaviormetrika. 26-2. 221-233 (1999)

Nobuoki Eshima 和 Minoru Tabata：“对分类变量路径分析的对数线性模型方法的效果分析”Behaviormetrika。