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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/32871

    Title: 排列檢定與信賴區間
    Other Titles: On discussion of confidence interval based on permutation tests
    Authors: 高春元;Kao, Chun-yuan
    Contributors: 淡江大學數學學系碩士班
    鄭惟厚;Cheng, Wei-hou
    Keywords: 排列檢定;信賴區間;permutation tests;confidence interval
    Date: 2005
    Issue Date: 2010-01-11 02:53:56 (UTC+8)
    Abstract: 在一般parametric架構下估計未知位置參數時,從對於未知參數的雙尾檢定的接受域(acceptance region),我們就可以得到參數的信賴區間。對於排列檢定,這個概念仍然適用。
    找出其對應的排列分布(permutation test),如此才能知道能否接受該原始假設,然而處理起來相當麻煩的原因是每減掉一個不同參數值,其對應的排列分布就要重新排列過才可以得知。
    Under general parametric framework,we can find the confidence interval of an unknown location parameter via the acceptance region of a two-tail test .This concept can also be used in permutation tests,but it is a lot more complex to find confidence interval.Because in parametric case,the unknown parameter usually appears in the pivot and we can find the confidence interval via simple algebra. Yet in the case of permutation tests,the situation is different.
    In the first step of carrying out a permutation test on a single sample for the location parameter,we subtract the parameter under consideration from each of the observations, and then decide whether to accept the null hypothesis according to the permutation distribution which is formed by all possible rearrangements of
    these differences.However the permutation distribution will change every time we subtract a different parameter.
    This thesis is discussing how to find the confidence interval by acceptance region via permutation test, and we try to find some systematic conclusions.
    Appears in Collections:[數學學系暨研究所] 學位論文

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