Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/88733
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 江振東 | zh_TW |
dc.contributor.advisor | Jiang, Jenn Dong | en_US |
dc.contributor.author | 吳裕陽 | zh_TW |
dc.contributor.author | Wu, Yuh Yang | en_US |
dc.creator | 吳裕陽 | zh_TW |
dc.creator | Wu, Yuh Yang | en_US |
dc.date | 1994 | en_US |
dc.date.accessioned | 2016-04-29T08:32:14Z | - |
dc.date.available | 2016-04-29T08:32:14Z | - |
dc.date.issued | 2016-04-29T08:32:14Z | - |
dc.identifier | B2002003901 | en_US |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/88733 | - |
dc.description | 碩士 | zh_TW |
dc.description | 國立政治大學 | zh_TW |
dc.description | 應用數學系 | zh_TW |
dc.description | 81155004 | zh_TW |
dc.description.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>。 | zh_TW |
dc.description.abstract | 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\r\n目錄\r\n第一章 諸論-----1\r\n第二章 冪發散統計量-----5\r\n 2.1:冪發散統計量的近似分配-----6\r\n 2.2:冪發散統計量的期望值及變異數-----8\r\n第三章 J型—發散統計量-----13\r\n 3.1:J<sup>2</sup><sub>a</sub>統計量的近似分配-----14\r\n 3.2:J<sup>2</sup><sub>a</sub>統計量的期望值及變異數-----17\r\n 3.3:常數a的選定-----20\r\n 3.3.1:一階、二階動差之比較-----20\r\n 3.3.2:真正顯著水準之比較-----23\r\n 3.3.3:真正檢定力之比較-----24\r\n 3.3.4:討論-----26\r\n第四章 X<sup>2</sup>, I(2/3), G<sup>2</sup>, J<sup>2</sup>,J<sub>1</sub><sup>2</sup>的模擬比較-----28\r\n 4.1:顯著水準之比較-----28\r\n 4.2:檢定力之比較-----31\r\n 4.3:觀測次數與期望次數的比值對統計量的影響-----33\r\n 4.4:結論及建議-----36\r\n附錄一-----38\r\n附錄二-----40\r\n附表4.1-附表4.5-----42\r\n附圖4.1-附圖4.5-----47\r\n參考文獻-----50 | zh_TW |
dc.source.uri | http://thesis.lib.nccu.edu.tw/record/#B2002003901 | en_US |
dc.subject | 皮爾生卡方統計量 | zh_TW |
dc.subject | 概似比例統計量 | zh_TW |
dc.subject | Cressie & Read統計量 | zh_TW |
dc.subject | J型-發散統計量 | zh_TW |
dc.subject | 多項式分配 | zh_TW |
dc.subject | 卡方分配 | zh_TW |
dc.subject | 顯著水準 | zh_TW |
dc.subject | 檢定力 | zh_TW |
dc.subject | Pearson chi-square statistic | en_US |
dc.subject | Likelihood ratio statistic | en_US |
dc.title | 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 | Comparisons of J-divergence statistic with some goodness-of-fit test statistic | en_US |
dc.type | thesis | en_US |
item.openairecristype | http://purl.org/coar/resource_type/c_46ec | - |
item.fulltext | With Fulltext | - |
item.openairetype | thesis | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | 學位論文 |
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