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http://hdl.handle.net/11455/18556| 標題: | 以指數群檢定量及計算機模擬方法求取兩個二項分配成功率之差的近似信 賴區間及其近似信賴水準 Using the Family of Power Divergence Test Statistics and Simulation to Find the Approximate Confidence Interval and Confidence Level for the Difference of Proportions from Two Binomial Distribution |
作者: | 鄧妙娟 Teng, Maio-Chuan |
關鍵字: | the family of power divergence test statistics;指數群檢定量;confidence;近似信賴區間;模擬信賴水準;模擬平均長度;最小方格期望值 | 出版社: | 應用數學研究所 | 摘要: | 假設X1及X2為獨立的二項分配b(n1,p1)及b(n2,p2),Beal(1987)以真確信 賴水準(actual confidence level),比較了五種有關於求取機率差p1-p2 之近似信賴區間的方法。這些方法基本上都是由 var(X1/n1-X2/n2)的公 式及其修正公式所導出的。Bedrick(1987)曾採用Cressie及Read(1984)所 提出的指數群檢定量(the family of power divergence test statistics)求得p1/p2之近似信賴區間。本論文亦採用指數群檢定量來求 取p1-p2之近似信賴區間,並以計算機模擬方法求其模擬信賴水準( simulated confidence level)及模擬平均長度(simulated average length)以作為選取指數群檢定量參數的依據。我們的結論是當參數介於 [0.67,1.25]區間且最小方格期望值(minimum cell expectation)大於等 於3.5時,模擬的信賴水準通常較接近所給定的信賴水準。 |
URI: | http://hdl.handle.net/11455/18556 |
| Appears in Collections: | 應用數學系所 |
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