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博碩士論文 etd-0705105-130445 詳細資訊
Title page for etd-0705105-130445
論文名稱
Title
區間刪減數據之無母數檢定的統計分配研究
A study of statistical distribution of a nonparametric test for interval censored data
系所名稱
Department
畢業學年期
Year, semester
語文別
Language
學位類別
Degree
頁數
Number of pages
37
研究生
Author
指導教授
Advisor
召集委員
Convenor
口試委員
Advisory Committee
口試日期
Date of Exam
2005-06-20
繳交日期
Date of Submission
2005-07-05
關鍵字
Keywords
區間刪減數據、共變異數估計、無母數檢定、模擬、Turnbull演算法
nonparametric test, interval-censored data, simulation, Turnbull's algorithm, covariance estimation
統計
Statistics
本論文已被瀏覽 5743 次,被下載 2369
The thesis/dissertation has been browsed 5743 times, has been downloaded 2369 times.
中文摘要
對於區間刪減數據下,一個無母數檢定方法來判斷p個生命時間的母體是否來自相同分配,而Sun有提出一些無母數檢定的方法來判斷p個生命時間的母體是否來自相同分配。在這篇論文裡,我們提出模擬方法來驗證Sun所提出的無母數檢定是否正確。而模擬方法的結果指出Sun所提出的檢定不是接近自由度p-1的卡方分配,而是相當接近自由度p-1的卡方分配乘上一常數。
Abstract
A nonparametric test for the interval-censored failure time data is proposed in determining whether p lifetime populations come from the same distribution. For the comparison problem based on interval-censored failure time data, Sun proposed some nonparametric test procedures in recent year. In this paper, we present simulation procedures to verify the test proposed by Sun. The simulation results indicate that the proposed test is not
approximately Chisquare distribution with degrees of freedom p-1 but Chisquare distribution with degrees of freedom p-1 times a constant.
目次 Table of Contents
1. Introduction
2. Turnbull's algorithm
3. Generate discrete interval-censored data
4. A nonparametric test for interval-censored failure time data
5. Estimate of covariance matrix of nonparametric test statistics
5.1 Fisher information matrix under logistic model
5.2 Simple resampling method
5.3 Generalized log-rank test with multiple imputation
6. Simulation study
7. The comparison with the results derived by Sun
8. Conclusion
9. Reference
參考文獻 References
[1] V. DeGruttola and S. W. Lagakos (1989): Analysis of doubly-censored survival data,
with application to AIDS. Biometrics. Vol. 45, 1-12.
[2] D. M. Finkelstein (1986): A proportional hazards model for interval-censored failure
time data. Biometrics. Vol. 42, 845-854.
[3] M. P. Fay. (1999): Comparing several score tests for interval-censored data. Statistics
in Medicine. Vol. 18, 273-285.
[4] Hung-Yen Hsu (1999): The distribution of a nonparametric test for interval failure
time data. Master of Science Thesis, Department of Applied Mathematics, National Sun
Yet-Sen University.
[5] J. D. Kalb°eisch and R. L. Prentice (1980): The Statistical Analysis of Failure Time
Data. Wiley: New York.
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