| dc.contributor.advisor | 吳柏林 | zh_TW |
| dc.contributor.author (作者) | 羅元佐 | zh_TW |
| dc.contributor.author (作者) | Ro, Yuan Tso | en_US |
| dc.creator (作者) | 羅元佐 | zh_TW |
| dc.creator (作者) | Ro, Yuan Tso | en_US |
| dc.date (日期) | 2010 | en_US |
| dc.date.accessioned | 5-十月-2011 14:39:40 (UTC+8) | - |
| dc.date.available | 5-十月-2011 14:39:40 (UTC+8) | - |
| dc.date.issued (上傳時間) | 5-十月-2011 14:39:40 (UTC+8) | - |
| dc.identifier (其他 識別碼) | G0097972002 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/51312 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學系數學教學碩士在職專班 | zh_TW |
| dc.description (描述) | 97972002 | zh_TW |
| dc.description (描述) | 99 | zh_TW |
| dc.description.abstract (摘要) | 在統計學上，我們常使用皮爾森相關係數(Pearson’s Correlation Coefficient)來表達兩變數間線性關係的強度，同時也表達出關係之方向。傳統之相關係數所處理的資料都是明確的實數值，但是當資料是模糊數時，並不適合使用傳統的方法來計算模糊相關係數。而本研究探討區間模糊樣本資料值求得模糊相關係數，首先將區間型模糊資料分為離散型和連續型，提出區間模糊相關係數定義，並提出廣義誤差公式，將相關係數作合理的調整，使所求的出相關係數更加精確。在第三章我們以影響數學成就評量的因素，作實證研究分析，得出合理的分析。而此相關係數定義和廣義誤差公式也能應用在兩資料值為實數或其中一筆資料值為實數的情況，可以解釋更多在實務上所發生的相關現象。 | zh_TW |
| dc.description.abstract (摘要) | In the statistic research, we usually express the magnitude of linear relation between two variables by means of Pearson’s Correlation Coefficient, which is also used to convey the direction of such relation. Traditionally, correlation coefficient deals with data which consist of specific real numbers. But when the data are composed of fuzzy numbers, it is not feasible to use this traditional approach to figure out the fuzzy correlation coefficient. The present study investigates the fuzzy samples of interval data to find out the fuzzy correlation coefficient. First, we categorize the fuzzy interval data into two types: discrete and continuous. Second, we define fuzzy correlation with interval data and propose broad formulas of error in order to adjust the coefficient more reasonably and deal with it more accurately. In Chapter Three, we conduct empirical research by the factor which affects the evaluation of mathematical achievement to acquire reasonable analysis. By doing so, broad definition of coefficient and formulas of error can also be applied to the conditions of either both values of the data are real number or one value of the data is real number, and can explain more related practical phenomenon. | en_US |
| dc.description.tableofcontents | 中文摘要 i英文摘要 ii1.前言 12.研究方法 32.1 模糊數性質 32.2區間相關係數 152.3區間模糊線性相關係數的性質 222.4區間樣本演算法 243.實證分析 263.1上網時間與數學成就 263.2睡眠時間與數學成就 353.3睡眠時間與上網時間 424.結論 455.參考文獻 47 | zh_TW |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0097972002 | en_US |
| dc.subject (關鍵詞) | 模糊相關係數 | zh_TW |
| dc.subject (關鍵詞) | 區間資料 | zh_TW |
| dc.subject (關鍵詞) | 數學成就評量 | zh_TW |
| dc.subject (關鍵詞) | Fuzzy correlation | en_US |
| dc.subject (關鍵詞) | interval data | en_US |
| dc.subject (關鍵詞) | evaluation of mathematical achievement | en_US |
| dc.title (題名) | 區間模糊相關係數及其在數學成就評量 | zh_TW |
| dc.title (題名) | Fuzzy correlation with interval data and its application in the evaluation of mathematical achievement | en_US |
| dc.type (資料類型) | thesis | en |
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