| dc.contributor.advisor | 江振東 | zh_TW |
| dc.contributor.advisor | Jiang, Jenn Dong | en_US |
| dc.contributor.author (Authors) | 吳裕陽 | zh_TW |
| dc.contributor.author (Authors) | Wu, Yuh Yang | en_US |
| dc.creator (作者) | 吳裕陽 | zh_TW |
| dc.creator (作者) | Wu, Yuh Yang | en_US |
| dc.date (日期) | 1994 | en_US |
| dc.date.accessioned | 29-Apr-2016 16:32:14 (UTC+8) | - |
| dc.date.available | 29-Apr-2016 16:32:14 (UTC+8) | - |
| dc.date.issued (上傳時間) | 29-Apr-2016 16:32:14 (UTC+8) | - |
| dc.identifier (Other Identifiers) | B2002003901 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/88733 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學系 | zh_TW |
| dc.description (描述) | 81155004 | zh_TW |
| dc.description.abstract (摘要) | 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>。 | zh_TW |
| dc.description.abstract (摘要) | 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. | en_US |
| dc.description.tableofcontents | 摘要 目錄 第一章 諸論-----1 第二章 冪發散統計量-----5 2.1：冪發散統計量的近似分配-----6 2.2：冪發散統計量的期望值及變異數-----8 第三章 J型—發散統計量-----13 3.1：J2a統計量的近似分配-----14 3.2：J2a統計量的期望值及變異數-----17 3.3：常數a的選定-----20 3.3.1：一階、二階動差之比較-----20 3.3.2：真正顯著水準之比較-----23 3.3.3：真正檢定力之比較-----24 3.3.4：討論-----26 第四章 X2, I(2/3), G2, J2,J12的模擬比較-----28 4.1：顯著水準之比較-----28 4.2：檢定力之比較-----31 4.3：觀測次數與期望次數的比值對統計量的影響-----33 4.4：結論及建議-----36 附錄一-----38 附錄二-----40 附表4.1－附表4.5-----42 附圖4.1－附圖4.5-----47 參考文獻-----50 | zh_TW |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#B2002003901 | en_US |
| dc.subject (關鍵詞) | 皮爾生卡方統計量 | zh_TW |
| dc.subject (關鍵詞) | 概似比例統計量 | zh_TW |
| dc.subject (關鍵詞) | Cressie & Read統計量 | zh_TW |
| dc.subject (關鍵詞) | J型-發散統計量 | zh_TW |
| dc.subject (關鍵詞) | 多項式分配 | zh_TW |
| dc.subject (關鍵詞) | 卡方分配 | zh_TW |
| dc.subject (關鍵詞) | 顯著水準 | zh_TW |
| dc.subject (關鍵詞) | 檢定力 | zh_TW |
| dc.subject (關鍵詞) | Pearson chi-square statistic | en_US |
| dc.subject (關鍵詞) | Likelihood ratio statistic | en_US |
| dc.title (題名) | J型－發散統計量與數種適合度檢定統計量之比較 | zh_TW |
| dc.title (題名) | Comparisons of J-divergence statistic with some goodness-of-fit test statistic | en_US |
| dc.type (資料類型) | thesis | en_US |
