### 博碩士論文 103225017 完整後設資料紀錄

 DC 欄位 值 語言 DC.contributor 統計研究所 zh_TW DC.creator 廖昱婷 zh_TW DC.creator Yu-Ting Liao en_US dc.date.accessioned 2016-8-25T07:39:07Z dc.date.available 2016-8-25T07:39:07Z dc.date.issued 2016 dc.identifier.uri http://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=103225017 dc.contributor.department 統計研究所 zh_TW DC.description 國立中央大學 zh_TW DC.description National Central University en_US dc.description.abstract 在應用統計中，使用二項分配近似常態分配使用連續性校正是非常有用的。首先，論文的第一部分，回顧二項分配和中央極限定理。如果樣本數較大，二項分配會近似於常態分配。連續性校正是為了進一步提高二項分配近似常態分配的準確，其中較廣為人知的連續性較正為Yates’s correction for continuity (Yates, 1934; Cox, 1970)。此外我們還介紹比較少人知道的Cressie’s finely tuned continuity correction (Cressie, 1978)。我們將連續性較正應用在統計製程的問題中。此外，我們進行數值模擬研究，比較Yates’s correction for continuity跟Cressie’s finely tuned continuity correction。 zh_TW dc.description.abstract In applied statistics, the continuity correction is useful when the binomial distribution is approximated by the normal distribution. In the first part of this thesis, we review the binomial distribution and the central limit theorem. If the sample size gets larger, the binomial distribution approaches to the normal distribution. The continuity correction is an adjustment that is made to further improve the normal approximation, also known as Yates’s correction for continuity (Yates, 1934; Cox, 1970). We also introduce Cressie’s finely tuned continuity correction (Cressie, 1978), which are less known for statisticians. We discuss the application of these continuity corrections to the problem of statistical process control and confidence limit. In addition, we perform numerical studies to compare these corrections. en_US DC.subject 二項分配 zh_TW DC.subject 信賴界線 zh_TW DC.subject 連續性校正 zh_TW DC.subject 控制圖 zh_TW DC.subject 常態近似 zh_TW DC.subject 統計製程管制 zh_TW DC.subject Binomial distribution en_US DC.subject Confidence limit en_US DC.subject Continuity correction en_US DC.subject Control chart en_US DC.subject Normal approximation en_US DC.subject Statistical process control en_US DC.title A review and comparison of continuity correction rules: the normal approximation to the binomial distribution en_US dc.language.iso en_US en_US DC.type 博碩士論文 zh_TW DC.type thesis en_US DC.publisher National Central University en_US