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系統識別號 U0002-1907201721273500
中文論文名稱 比例風險模型下現狀數據的樣本數計算
英文論文名稱 Sample Size Calculations for the Proportional Hazards Model with Current Status Data
校院名稱 淡江大學
系所名稱(中) 數學學系碩士班
系所名稱(英) Department of Mathematics
學年度 105
學期 2
出版年 106
研究生中文姓名 鄭惟綸
研究生英文姓名 Wei-Lun, Cheng
學號 605190056
學位類別 碩士
語文別 中文
口試日期 2016-06-21
論文頁數 27頁
口試委員 指導教授-温啟仲
委員-黃逸輝
委員-吳裕振
中文關鍵字 存活分析  檢定力  韋伯分佈 
英文關鍵字 Survival analysis  Test power  Weibull distribution 
學科別分類 學科別自然科學數學
中文摘要 在人口統計調查與生物醫學研究中,常常遇到現狀設限存活資料,觀測值包含檢查時間及關心的事件是否已經發生的現狀資料。在臨床試驗設計或是人口調查研究的樣本數是很重要的課題。本論文中,在基線模型為一般分佈的比例風險模型下,我們提出一個需給定對應參數,具封閉形式的樣本數公式,以Weibull及Log-logistic作為舉例,並藉由進行模擬試驗及兩個實例驗證公式的正確性。
英文摘要 Current status data are commonly encountered in demographical or biomedical studies, where the event of interest is observed or examined once and the only available information consists of an examination time and an indicator of whether the event has occurred by the examination time. Sample size calculations is important for designing survival studies with current status data. In this thesis, we propose a closed form sample size formula for current status data under a flexible parametric proportional hazards model, including Weibull and log-logistic baseline hazards as special cases. The proposed methods are evaluated through simulations studies and illustrated with two real examples.
論文目次 目錄
壹、 前言 1
貳、 方法 3
參、 模擬試驗 7
肆、 實例分析 13
伍、 敏感性分析 17
陸、 結論與討論 22
柒、 參考文獻 23
捌、 附錄 25
參考文獻 1. Cantor AB (1992) Sample size calculations for the log rank test: A Gompertz model approach. Journal of Clinical Epidemiology, 45(10), 1131–1136.
2. Eng KH and Kosorok MR (2005). A sample size formula for the supremum log-rank statistic. Biometrics, 61, 86–91
3. Gail MH (1985) Applicability of sample size calculations based on a comparison of proportions for use with the log rank test. Controlled Clinical Trials, 6, 112–119.
4. Hsieh FY and Lavori PW (2000) Sample size calculations for the Cox proportional hazards model with nonbinary covariates. Controlled Clinical Trials, 21(6), 552–560.
5. Hoel DG, Walburg HE (1972) Statistical analysis of survival experiments. Journal of National Cancer Institute, 49, 361-372.
6.  Huang J and Wellner AJ (1997) Interval censored survival data: a review of recent progress. In Proceedings of the First Seattle Symposium in Biostatistics: Survival Analysis (Edited by D. Lin and T. Fleming), 123-169. Springer-Verlag, New York. 
7. Jung SH (2008) Sample size calculation for the weighted rank statistics with paired survival data. Statistics in Medicine, 27, 3350–3365. 
8. Ma S (2009) Cure model with current status data. Statistica Sinica 19, 233–249.
9. Martinussen T, Scheike TH (2002) Efficient estimation in additive hazards regression with current status data. Biometrika 89, 649-58
10. Rossini AJ and Tsiatis AA (1996) A semiparametric proportional odds regression model for the analysis of current status data. JASA 91, 713-21.
11. Schoenfeld D (1983) Sample-size formula for the proportional-hazards regression model.Biometrics, 39, 499–503.
12. Sun J. and Sun L. (2005) Semiparametric linear transformation models for current status data. The Canadian Journal of Statistics. 33, 85-96.
13. Tian L, Cau T. (2006) On the accelerated failure time model for current status and interval censored data. Biometrika 93, 329-42.
14. Williamson JM, Lin HM, and Kim HY (2009) Power and sample size calculations for current status survival analysis. Statistics in Medicine, 28, 1999–2011.
15. Zhang Z and Sun J (2010) Interval censoring. Statist. Methods Med. Res. 19, 53-70.
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