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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 |
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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 |
37 |
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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 |
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 |
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統計 Statistics |
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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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