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以作者查詢圖書館館藏 、以作者查詢臺灣博碩士 、以作者查詢全國書目 、勘誤回報 、線上人數：41 、訪客IP：18.117.72.224
姓名 徐欣迪(Xin-Di XU) 查詢紙本館藏 畢業系所 統計研究所 論文名稱 對配對資料的強韌性分析 相關論文 檔案 [Endnote RIS 格式]
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至系統瀏覽論文 ( 永不開放)
摘要(中) 在生物醫學領域中，每當新藥物出現時，爲了比較新藥物與其他藥物是否存在差異會
考慮使用配對設計。例如 Yao(2012)使用高頻熱療治療三叉神經痛患者面部，且左右臉頰使
用不同治療溫度以做對比。根據病患疼痛部位不同可以分為兩組群體（上頜神經痛及下頜
神經痛）。在引入配對設計下，可以排除異質性。但配對設計會引入相關性，這導致更多相
關性參數的出現以及更爲複雜的分配比較。
本文提出了一種強韌概似函數的方法來推論配對設計下兩個伯努利分配的異同。此方
法是將兩個獨立的伯努利概似函數強韌化，得到強韌 Wald 統計量、強韌 Score 統計量以及
強韌性 likelihood ratio 統計量來檢驗分配是否存在相同。文中將提供理論以及推導，並利用
模擬以及實例分析展示強韌化方法的優勢。摘要(英) In the field of biomedicine, whenever a new drug is introduced, a paired design is considered in
order to compare the new drug with other drugs. For example, Yao (2012) used radiofrequency
thermocoagulation therapy to treat the face of a patient with trigeminal neuralgia and used different
treatment temperatures for the left and right cheeks for comparison. Patients can be divided into two
groups (maxillary division of trigeminal nerve and mandibular division of trigeminal nerve) depending
on the location of the pain. With the introduction of a paired design, homogeneity can be excluded.
However, the paired design will result in the introduction of correlation, which leads to more correlated
parameters and more complex comparisons of assignments.
In this thesis, a robust likelihood function approach is proposed to infer the similarities and
differences between two Bernoulli distributions under a paired design. The method is based on the
robustness of two independent Bernoulli likelihood functions to obtain the robust Wald statistic, the
robust Score statistic and the robust likelihood ratio statistic to examine whether the distributions are
identical. The thesis will provide the theory and derivations, and demonstrate the advantages of the robust
likelihood function method using simulations and examples.關鍵字(中) ★ 相關二元資料
★ 配對設計
★ 強韌性分數檢定
★ 強韌性概似檢定關鍵字(英) ★ correlated binary data
★ paired design
★ robust score test
★ robust likelihood ratio test論文目次 目 錄
摘要 ..................................................................................................................................... i
Abstract ..................................................................................................................................... ii
目錄 ................................................................................................................................... iii
表目錄 ................................................................................................................................... iii
第一章 緒論 ..................................................................................................................................... 1
第二章 兩個獨立伯努利模型强化過程 ....................................................................................... 3
2-1 最大概似估計量 ........................................................................................................... 4
2-2 費雪訊息矩陣 ................................................................................................................... 5
2-3 修正項 ............................................................................................................................. 8
2-4 强韌與非强韌 Score 檢定統計量 ................................................................................ 14
第三章 模擬研究 ......................................................................................................................... 17
3-1 資料生成方式 ............................................................................................................ 17
3-2 模擬結果 ........................................................................................................................ 18
第四章 實例分析 ......................................................................................................................... 39
4-1 實例分析一 ............................................................................................................... 39
4-2 實例分析二 .................................................................................................................... 42
4-3 實例分析三 ..................................................................................................................... 46
4-4 實例分析四 ..................................................................................................................... 49
第五章 結論 ................................................................................................................................. 53
參考資料......................................................................................................................................... 54參考文獻 [1] Yao, P., Hong, T., et al. “Treatment of bilateral idiopathic trigeminal neuralgia by
radiofrequency thermocoagulation at different temperatures”. Medicine, vol. 95,29 (2016):
e4274
[2] Royall, R., and Tsou, T. S., “Interpreting statistical evidence by using imperfect models: robust
adjusted likelihood functions”. Journal of the Royal Statistical Society: Series B (Statistical
Methodology), 65(2), pp. 391-404. 2003
[3] Tsou, Tsung‐Shan, and Chien‐Hung Chen. "Comparing several means of dependent populations of
count—A parametric robust approach." Statistics in medicine 27.14, pp. 2576-2585. 2008
[4] 徐平平. "两种局麻药在局部浸润麻醉拔牙术中应用的自身对照研究." 广东牙病防
治 12.3: 214-215. 2004
[5] 李鵬, et al. "不同劑量的右美托咪啶和咪唑安定在口腔種植手術中的鎮靜效果." West
China Journal of Stomatology 33.2: 153. 2015
[6] Ghoreishi, Mohammad, et al. "Comparison of toric implantable collamer lens and toric artiflex
phakic IOLs in terms of visual outcome: a paired contralateral eye study." American Journal of
Ophthalmology 219: 186-194. 2020
[7] Kashfi, Abolfazl, :Data for: Comparison of Toric Implantable Collamer Lens and Toric Artiflex
Phakic IOLs in terms of Visual Outcome, Paired Contralateral Eye Study”, Mendeley Data, V1,
doi: 10.17632/ggpsc7z6kk.1(2021).
取自：data.mendeley.com/datasets/ggpsc7z6kk/1 .
[8] Arrowitz, Craig, et al.: A Single-Center, Double-Blind, Randomized, Split-Face, Controlled
Clinical Trial to Evaluate and Compare the Efficacy and Tolerance of a Thiamidol-containing
Product and Hydroquinone-containing Product When Used by Women with Mild to Moderate
Melasma, V1, doi: 10.17632/npxdprzf7f.1(2019).
取自:data.mendeley.com/datasets/npxdprzf7f.指導教授 鄒宗山(Tsung-Shan Tsou) 審核日期 2023-1-9 推文 plurk
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