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題名 離散時間方法在存活分析上的研究
作者 王晶玉
貢獻者 陳麗霞
王晶玉
關鍵詞 離散時間存活模式
隨機效應
日期 2002
上傳時間 2009-09-14
摘要   在論文中我們以不可重複發生的事件為討論的對象,介紹離散時間存活模式的架構,並利用離散時間存活模式與連續時間存活模式、離散時間存活模式與多期二元反應變數模式的關係,找出在某些條件之下,模式之間相對應的情形。另外,針對資料的異質性或相關性的問題,我們在模式中加入隨機效應,以捕捉個人的特質,並彌補解釋變數的不足。同時,我們將說明如何運用最大邊際概似估計法估計模式中的參數。
 This thesis is mainly discussing non-repeatable events, describing the structure of Discrete-Time Survival model, and at the same time discovering the corresponding phenomenon among models under certain conditions by taking the knowledge from the relationship between Discrete-Time Survival model and Continuous-Time Survival model, as well as the relationship between Discrete-Time Survival model and Multiple-Period Dichotomous Response model. Moreover, random effects are added to the models in order to capture the individual characteristics and make up for the shortage of explanation variables for the assessment of heterogeneity and correlation. This thesis also explains how to estimate the parameters in the models by taking the approach of Maximum Marginal Likelihood Estimation.
參考文獻 Allison, P. D. (1982). Discrete-time Methods for the Analysis of Event Histories. Sociological Methodology, 13, 61-98. San Francisco: Jossey-Bass.
Allison, P. D. (1995). Survival Analysis Using the SAS System. SAS Publishing
Cox, D. R. (1975). Partial Likelihood. Biometrika, 62, 269-276.
Hedeker, D. , and Gibbons, R. D. (1994). A Random-Effect Ordinal Regression Model for Multilevel Analysis. Biometrics, 50, 933-944.
Hedeker, D. , and Gibbons, R. D. (1996). MIXOR:A Computer Program for Mixed-Effects ordinal regression analysis. Computer Methods and Programs in Biomedicine, 49, 157-176.
Hedeker, D. , Siddiqui, O. , and Hu F. B. (2000). Random-Effect Regression Analysis of Correlated Grouped-Time Survival Data. Statistical Methods in Medical Research, 9, 161-179.
Korn, E. L. , and Whittemore, A. S. (1979). Methods for Analyzing Panel Studies of Acute Health Effects of Air Pollution. Biometrics, 35, 795-804.
Scheike, T. H. , and Jensen, T. K. (1997). A Discrete Survival Model with Random Effects: An Application to Time to Pregnancy. Biometrics, 53, 318-329.
Singer, J. D. , and Willett, J. B. (1993). It’s About Time: Using Discrete-Time Survival Analysis to Study Duration and the Timing of Events. Journal of Educational Statistics, 18, 155-195.
Stiratelli, R. , Laird, N. , and Ware, J. H. (1984). Random-Effect Models for Serial Observations with Binary Response. Biometrics, 40, 961-971.
Vaupel, J. W. , and Yashin, A. I. (1985). Heterogeneity’s ruses: Some surprising effects of selection on population dynamics. The American Statistician, 39, 176-185.
描述 碩士
國立政治大學
統計研究所
90354020
91
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0090354020
資料類型 thesis
dc.contributor.advisor 陳麗霞zh_TW
dc.contributor.author (Authors) 王晶玉zh_TW
dc.creator (作者) 王晶玉zh_TW
dc.date (日期) 2002en_US
dc.date.accessioned 2009-09-14-
dc.date.available 2009-09-14-
dc.date.issued (上傳時間) 2009-09-14-
dc.identifier (Other Identifiers) G0090354020en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/30879-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 統計研究所zh_TW
dc.description (描述) 90354020zh_TW
dc.description (描述) 91zh_TW
dc.description.abstract (摘要)   在論文中我們以不可重複發生的事件為討論的對象,介紹離散時間存活模式的架構,並利用離散時間存活模式與連續時間存活模式、離散時間存活模式與多期二元反應變數模式的關係,找出在某些條件之下,模式之間相對應的情形。另外,針對資料的異質性或相關性的問題,我們在模式中加入隨機效應,以捕捉個人的特質,並彌補解釋變數的不足。同時,我們將說明如何運用最大邊際概似估計法估計模式中的參數。zh_TW
dc.description.abstract (摘要)  This thesis is mainly discussing non-repeatable events, describing the structure of Discrete-Time Survival model, and at the same time discovering the corresponding phenomenon among models under certain conditions by taking the knowledge from the relationship between Discrete-Time Survival model and Continuous-Time Survival model, as well as the relationship between Discrete-Time Survival model and Multiple-Period Dichotomous Response model. Moreover, random effects are added to the models in order to capture the individual characteristics and make up for the shortage of explanation variables for the assessment of heterogeneity and correlation. This thesis also explains how to estimate the parameters in the models by taking the approach of Maximum Marginal Likelihood Estimation.en_US
dc.description.tableofcontents 第一章 序論
     第一節 研究動機
     第二節 研究流程
     
     第二章 離散時間存活模式
     第一節 離散時間存活模式
     第二節 離散時間存活模式與連續時間存活模式
      I.連續時間存活模式
      II.離散時間存活模式
     第三節 離散時間存活模式與多期二元反應變數模式
      I.多期二元反應變數模式
      II.離散時間存活模式
     
     第三章 隨機效應模式
     第一節 隨機效應模式
     第二節 參數估計
      I.CLL模式中隨機效應服從log-gamma分配
      II.其他情形
     
     第四章 實例分析
     第一節 資料說明
     第二節 資料分析
      I.連續時間存活模式與多期CLL模式
      II.離散時間存活模式與多期邏輯斯模式
      III.多期邏輯斯模式與隨機效應
     
     第五章 結論與建議
     第一節 結論
     第二節 建議
     
     參考文獻
     
     附錄
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0090354020en_US
dc.subject (關鍵詞) 離散時間存活模式zh_TW
dc.subject (關鍵詞) 隨機效應zh_TW
dc.title (題名) 離散時間方法在存活分析上的研究zh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Allison, P. D. (1982). Discrete-time Methods for the Analysis of Event Histories. Sociological Methodology, 13, 61-98. San Francisco: Jossey-Bass.zh_TW
dc.relation.reference (參考文獻) Allison, P. D. (1995). Survival Analysis Using the SAS System. SAS Publishingzh_TW
dc.relation.reference (參考文獻) Cox, D. R. (1975). Partial Likelihood. Biometrika, 62, 269-276.zh_TW
dc.relation.reference (參考文獻) Hedeker, D. , and Gibbons, R. D. (1994). A Random-Effect Ordinal Regression Model for Multilevel Analysis. Biometrics, 50, 933-944.zh_TW
dc.relation.reference (參考文獻) Hedeker, D. , and Gibbons, R. D. (1996). MIXOR:A Computer Program for Mixed-Effects ordinal regression analysis. Computer Methods and Programs in Biomedicine, 49, 157-176.zh_TW
dc.relation.reference (參考文獻) Hedeker, D. , Siddiqui, O. , and Hu F. B. (2000). Random-Effect Regression Analysis of Correlated Grouped-Time Survival Data. Statistical Methods in Medical Research, 9, 161-179.zh_TW
dc.relation.reference (參考文獻) Korn, E. L. , and Whittemore, A. S. (1979). Methods for Analyzing Panel Studies of Acute Health Effects of Air Pollution. Biometrics, 35, 795-804.zh_TW
dc.relation.reference (參考文獻) Scheike, T. H. , and Jensen, T. K. (1997). A Discrete Survival Model with Random Effects: An Application to Time to Pregnancy. Biometrics, 53, 318-329.zh_TW
dc.relation.reference (參考文獻) Singer, J. D. , and Willett, J. B. (1993). It’s About Time: Using Discrete-Time Survival Analysis to Study Duration and the Timing of Events. Journal of Educational Statistics, 18, 155-195.zh_TW
dc.relation.reference (參考文獻) Stiratelli, R. , Laird, N. , and Ware, J. H. (1984). Random-Effect Models for Serial Observations with Binary Response. Biometrics, 40, 961-971.zh_TW
dc.relation.reference (參考文獻) Vaupel, J. W. , and Yashin, A. I. (1985). Heterogeneity’s ruses: Some surprising effects of selection on population dynamics. The American Statistician, 39, 176-185.zh_TW