二維均勻分布檢定

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Title:	二維均勻分布檢定
Other Titles:	A testing for two dimension's uniform distribution
Authors:	彭志軒;Peng, Chih–Syuan
Contributors:	淡江大學數學學系碩士班伍志祥;Wu, Jyh-Shyang
Keywords:	卡方檢定;雙變數均勻分布檢定;檢定力;Chi-square test;two dimension's uniform distribution test;power
Date:	2011
Issue Date:	2011-12-28 18:12:49 (UTC+8)
Abstract:	單變數的卡方檢定會因資料分組而降低檢定力之外,還會因移動起始格子點而影響檢定的結果｡因此有學者提出能夠提高檢定力且不會因為起始格子點而影響檢定結果的方法｡在此篇論文,我們將考慮雙變數均勻分布的檢定問題,會如何受移動格子點影響定結果｡也試著提出新的檢定統計量和卡方檢定來做比較,透過模擬數據可以顯示新的檢定統計量是比卡方檢定更佳｡ The power of univariable chi-square test will be lower, and explained test outcome will be affected by moving beginning and end point of cells. After then, some scholars have proposed various methods to raise power , and they does not affect by moving beginning and end point of cells. In this paper , we will consider the problem that a testing for two dimension’s uniform distribution ,and the outcome how to affect by moving cells. We will also propose new test statistic to compare with chi square ,and use analog data to prove and see that the new test statistic will be more accurate than chi-square.
Appears in Collections:	[Graduate Institute & Department of Mathematics] Thesis

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