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系統識別號 U0026-0607201610295100
論文名稱(中文) 針對成對重覆觀察事件之統計檢定方法與樣本數計算之研究
論文名稱(英文) Testing and sample size calculation for paired recurrent event data
校院名稱 成功大學
系所名稱(中) 統計學系
系所名稱(英) Department of Statistics
學年度 104
學期 2
出版年 105
研究生(中文) 鍾佳華
研究生(英文) Chia-Hua Chung
學號 r26031121
學位類別 碩士
語文別 中文
論文頁數 36頁
口試委員 指導教授-蘇佩芳
口試委員-嵇允嬋
口試委員-謝進見
中文關鍵字 成對重複觀察事件  混合卜瓦松過程  脆弱因子  樣本數 
英文關鍵字 paired recurrent events  mixed Poisson process  frailty  sample size 
學科別分類
中文摘要 本研究主要針對觀察值相依的重覆觀察資料進行分析,如觀察初次接受口腔餵食訓練的早產兒餵食訓練前後兩段時間內發生心跳異常事件的分配情況,即為成對重覆觀察事件(paired recurrent events)之一例。針對成對重覆觀察事件的資料,本研究提出檢定方法,檢定餵食訓練前和餵食訓練後兩段時間內心跳異常事件發生的頻率是否相同。進一步假設重覆觀察事件為混合卜瓦松過程模型(mixed Poisson process model),在模型的強度函數(intensity function)中使用脆弱因子(frailty)表示每個早產兒不能觀測到變異,計算達特定檢定力所需之樣本數公式,並利用模擬資料,嘗試不同的參數組合,計算模擬情況下之經驗型I錯誤率與經驗檢定力,最後分析該筆早產兒餵食訓練資料。
英文摘要 The purpose of the research is to develop a method for calculating the required sample size for paired recurrent events data.
The developed method is based on robust nonparametric tests for comparing the marginal mean function of events between paired samples.
This calculation can accommodate the associations among a sequence of paired recurrent event times with a specification of correlated gamma frailty variables for a proportional intensity model.
We evaluate the performance of the proposed method with comprehensive simulations including the impacts of paired correlations, homogeneous or nonhomogeneous processes, marginal hazard rates, censoring rate, accrual and follow-up times as well as the sensitivity analysis for the assumption of the assumption of the frailty distribution.
The application is also demonstrated using a premature infant study from the neonatal intensive care unit of a tertiary center in southern Taiwan.
論文目次 摘要iii
英文延伸摘要iv
誌謝viii
目錄ix
圖目錄x
表目錄xi
第一章 敘論1
1.1 研究背景與動機. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 研究目的. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
第二章文獻回顧4
2.1 平均數函數. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2.2 穩健對數等級檢定. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2.3 樣本數計算. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
第三章統計方法10
3.1 統計檢定. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
3.2 計算樣本數. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
第四章統計模擬15
4.1 模擬資料. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
4.2 經驗型I 誤差率與檢定力. . . . . . . . . . . . . . . . . . . . . . . . . . 17
4.3 靈敏度分析. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
第五章資料分析28
第六章結論33
參考文獻34
附錄A 檢定統計量的平均數與變異數估計量35
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