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論文名稱 Title |
基於刪減區間資料秩檢定的推廣及其在愛滋病研究上的應用
A generalization of rank tests based on interval-censored failure time data and its application to AIDS studies. |
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系所名稱 Department |
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畢業學年期 Year, semester |
語文別 Language |
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學位類別 Degree |
頁數 Number of pages |
22 |
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研究生 Author |
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指導教授 Advisor |
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召集委員 Convenor |
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口試委員 Advisory Committee |
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口試日期 Date of Exam |
2000-06-02 |
繳交日期 Date of Submission |
2000-07-11 |
關鍵字 Keywords |
Wilcoxon檢定、刪減區間資料、Logrank檢定、秩檢定 Logrank test, interval-censored failure time data, Wilcoxon test, rank test |
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統計 Statistics |
本論文已被瀏覽 5766 次,被下載 2871 次 The thesis/dissertation has been browsed 5766 times, has been downloaded 2871 times. |
中文摘要 |
基於離散刪減區間資料秩檢定的推廣,我們提出一種檢定方法以判斷兩組生命時間的母體是否來自相同的分佈。若資料是確定的或是右刪減區間的型態,則這種檢定方法可簡化成 Logrank檢定或是 Wilcoxon檢定。在此篇文章中我們也提出一種模擬的方法來說明我們所提出的檢定方法具有不錯的檢定力。而在論文的最後,則用個AIDS的例子來印證我們的結論。 |
Abstract |
In this paper we propose a generalized rank test based on discrete interval-censored failure time data to determine whether two lifetime populations come from the same distribution. It reduces to the Logrank test or Wilcoxon test when one has exact or right-censored data. Simulation shows that the proposed test performs pretty satisfactory. An example is presented to demonstrate how the proposed test can be applied in AIDS study. |
目次 Table of Contents |
1 Introduction 2 Turnbull's EM algorithm 3 Generalized Wilcoxon and Logrank tests for interval-censored data 3.1 Exact data 3.2 Interval-censore data 3.2.1 The proposed statistic 3.2.2 A probability measure and Lee's selection procedure 4 The asymptotic distribution and power of the weighted rank test 4.1 The asymptotic distribution 4.2 Power of rank tests of interval-censored data 5 Application to AIDS studies |
參考文獻 References |
1. Lee, Chinsan (1999): An urn model in the simulation of interval-censored failure time data. Statistics & Probability Letters. Vol 45, 131-139. 2. De Gruttola, V. and Lagakos, S. (1989): Analysis of doubly-censored survival data, with application to AIDS. Biometrics. Vol. 45, 1-11. 3. Finkelstein, D. M. and Wolfe, R. A. (1985): A semiparametric model for regression analysis of interval-censored failure time data. Biometrics. Vol. 41, 933-945. 4. Finkelstein, D. M. (1986): A proportional hazard model for interval-censored failure time data. Biometrics. Vol. 42, 845-854. 5. Gomez, G. and Lagakos, S. W. (1994): Estimation of the infection time and latency distribution of AIDS with doubly censored data. Biomertics. Vol. 50, 204-212. 6. Sun, J. (1996): A non-parametric test for interval-censored failure time data with application to AIDS studies. Statistics in Medicine. Vol. 15, 1387-1395. 7. Prentice, R. L. (1978) : Linear rank tests with right-censored data. Biometrika. 65, 167-179. 8. Turnbull, B. W. (1974): Nonparamertic estimation of a survivorship function with doubly censored data. J. Amer. Statist. Ass. Vol. 69, 169-173. |
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