Please use this identifier to cite or link to this item: https://ah.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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