臺灣博碩士論文加值系統

在臨床醫學上，常以多種醫學檢測法並行檢測同一病人，來診斷病人是否因受到病毒或細菌感染而罹患疾病，而同一病人的多種醫學檢測結果必存在一定程度的相關性。若以兩種檢測法來說，所得檢驗結果即為二維配對0-1資料形式，所以這兩種檢測法之檢驗結果比較研究屬於兩相關母體比例差之推論領域。
在兩相關母體兩比例相等的檢定上，McNemar（1947）提出的檢定在大樣本下具最大檢定力；小樣本下，張升懋、謝佩翰、馬麗英與劉建成等人提出的檢定都比Mosteller(1952)的二項檢定具更高的檢定力。本研究針對小樣本，使用概似比統計量探討兩比例差等於一定值的檢定。利用MATLAB程式計算 n = 5, 10, 15, 20, 30時，比例差為 -1, -0.9, …, -0.1, 0, 0.1, …, 0.9, 1等給定值時，所有可能的觀察值所對應的檢定 p-值，呈現於附表二。所計算的檢定 p-值的有效位數至少在小數點三位以上。

In clinical trials , we want to compare positive rates of two medical exams in a paired design . McNemar (1947) Test was suggested to test the equality of two correlated proportions when sample size is large . However , a Binomial Test was suggested to test when sample size is small . In this paper , we use a likelihood ratio statistic to test any given difference between 2 proportions of pair binary data for sample size between 5 and 30 . Then we calculate the p-value of all possible pair binary data when sample size are equal to 5,10,15,20,25,30 and are equal to -1, -0.9, …, -0.1, 0, 0.1, …, 0.9, 1 by MATLAB program . Finally , we can make a decision to judge whether a sample will be rejected by p-value when the significant level is given . Besides , we can also confer that a sample will be rejected when it falls on what kind of region and build a confidence interval of a sample .

第一章緒論1
第一節研究動機1
第二節文獻探討1
第二章研究方向與內容探討3
第一節資料內容介紹3
第二節檢定統計量4
2.2.1概似比統計量的推導5
2.2.2檢定統計量問題修正11
2.2.3概似比檢定統計量14
第三章研究過程與實例討論15
第一節p值的計算15
第二節切割數之選擇16
第三節p値計算結果的呈現17
第四節實例討論20
第四章結論22
參考文獻24
附錄一:小樣本數p値精確到小數點以下第三位的理想切割數26
附錄二:樣本數n=5,10,15,20,25,30的p値表65
附錄三:MATLAB程式85

中文文獻
林秀英 (2004), 小樣本配對0-1資料之信賴區間，國立台北大學統研所, 碩士論文。
馬麗英 (2003), 小樣本二維配對二項參數差之標準化Z1檢定, 國立台北大學統研所，碩士論文。
張升懋 (1998), 多維0-1資料參數差之檢定, 中興大學統研所, 碩士論文。
劉建成 (2003), 小樣本二維配對二項參數差之概似比檢定, 國立台北大學統研所, 碩士論文。
謝佩翰 (2003), 小樣本二維配對二項參數差之-投影Z檢定，國立台北大學統研所，碩士論文。

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