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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/88733
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/88733


    Title: J型-發散統計量與數種適合度檢定統計量之比較
    Comparisons of J-divergence statistic with some goodness-of-fit test statistic
    Authors: 吳裕陽
    Wu, Yuh Yang
    Contributors: 江振東
    Jiang, Jenn Dong
    吳裕陽
    Wu, Yuh Yang
    Keywords: 皮爾生卡方統計量
    概似比例統計量
    Cressie & Read統計量
    J型-發散統計量
    多項式分配
    卡方分配
    顯著水準
    檢定力
    Pearson chi-square statistic
    Likelihood ratio statistic
    Date: 1994
    Issue Date: 2016-04-29 16:32:14 (UTC+8)
    Abstract:   Taneichi(1993)提出一個新的適合度檢定統計量J<sup>2</sup>,具有近似卡方分配的性質。然而在小樣本的情形下,計算機模擬結果顯示,它的估計顯著水準大於期望顯著水準。所以本論文的重點之一,就是對J<sup>2</sup>進行改進,根據不同的準則,來選取一個適當的常數a。我們建議對每一觀測次數加一常數0.32,作為我們修正後的統計量,這個統計量我們記為J<sub>1</sub><sup>2</sup>。
      Taneichi(1993) introduces a new goodness-of-fit statisticJ<sup>2</sup>, which has an asymptotic chi-squared distribution. However, the results of simulation indicate that the levels of significance are in general bigger than the nominal levels, which prompts us to device a version of J<sup>2</sup> statistic which would perform better under small sample size situations. We suggest adding 0.32 to each observed value and find that the adjustment indeed works rearonably well. This version of J^2 statistic is denoted as J(1)^2.
    Description: 碩士
    國立政治大學
    應用數學系
    81155004
    Source URI: http://thesis.lib.nccu.edu.tw/record/#B2002003901
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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