| dc.contributor.advisor | 吳柏林 | zh_TW |
| dc.contributor.advisor | Wu, Berlin | en_US |
| dc.contributor.author (Authors) | 趙淑倫 | zh_TW |
| dc.creator (作者) | 趙淑倫 | zh_TW |
| dc.date (日期) | 2011 | en_US |
| dc.date.accessioned | 17-Apr-2012 09:16:02 (UTC+8) | - |
| dc.date.available | 17-Apr-2012 09:16:02 (UTC+8) | - |
| dc.date.issued (上傳時間) | 17-Apr-2012 09:16:02 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0098972003 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/52770 | - |
| 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) | 98972003 | zh_TW |
| dc.description (描述) | 100 | zh_TW |
| dc.description.abstract (摘要) | 在逐漸高齡化的社會中，關注老人的生活議題並加以分析益顯重要。在研究老人問題時，由於研究對象均曾經歷不同的時空背景與人生閱歷，各個體間存在的差異極大；不同族群的老人對其所慣用語彙的理解與表達亦不盡相同。故若利用傳統的統計分析研究結果，強迫人們採用二元邏輯的方式思考與解釋，可能會導致偏差或錯誤的結論。且傳統的統計檢定方法，往往假定取樣的樣本滿足某個分配，因而導致過多的解釋，影響決策品質。 因此，為避免因誤解老人而造成虛耗社會成本，使有限的社會資源得以充分運用，本文於研究老人身心特質與個人期待時，嘗試以模糊理論的軟計算，提出反模糊化轉換。並應用中位數檢定及變異數檢定，建立當統計參數為模糊數或模糊區間時之小樣本無母數模糊統計檢定方法模型。由實證例子分析結果顯示，我們提出的檢定方法，能有效分析模糊樣本的問題，並進而期望能對老人議題的分析和決策有所貢獻，及將此方法運用於其它模糊性議題之研究。 | zh_TW |
| dc.description.abstract (摘要) | In a gradually aging society, it is important to pay attention to and then analyze elderly people’s life issues. When a study about elderly people is undertaken, the subjects are very inconsistent given their diverse life experience, and various subgroups of subjects have quite different understanding of and way of expressing a vocabulary. Therefore, analyzing study result with conventional statistical analysis method, which forces thinking in a binary logic way, may lead to biased or erroneous conclusion. Furthermore, a conventional statistical test, usually assuming a certain distribution for its samples, may lead to exaggerated explanation, which is detrimental to the quality of a decision. So, in order to avoid the waste of our social cost from misunderstanding of the elderly, and to make the most use of our limited social resource, when we investigated the elderly people’s personal characteristics and expectations, we tried to apply the soft calculation of the fuzzy theory, proposed the counter-fuzzy transformation, and, by using the median test and variance test, established a nonparametric fuzzy statistical model for small-sized samples and for parameters of the fuzzy number or fuzzy interval types. The analyses of real-world examples demonstrated that this method of statistical test can analyze the problems of fuzzy samples, and can hopefully contribute to improved analysis and decision making of the elderly people’s issues, and apply this method on the investigation of other fuzzy social issues.Key words: counter-fuzzy transformation, fuzzy statistical analysis, median test, variance test, aging society. | en_US |
| dc.description.tableofcontents | 第1章 前言 1第2章 思維的模糊性 32.1模糊理論 32.2隸屬度函數 4第3章 模糊數與反模糊化轉換 73.1模糊數 73.2反模糊化轉換 123.3有關反模糊化轉換的一些性質 14第4章 中位數檢定 184.1模糊中位數 184.2中位數檢定法 224.3變異數檢定法 27第5章 實例研究 325.1應用離散型模糊數分析和檢定老人外出時間 325.2應用連續區型梯形模糊數分析和檢定理想中的退休年齡 355.3應用連續型梯形模糊數分析和檢定老人看電視時間 375.4比較應用連續型梯形模糊數及離散型模糊數分析和檢定是否為成功生活的老人 40第6章 結論與討論 48參考文獻 49 | zh_TW |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0098972003 | en_US |
| dc.subject (關鍵詞) | 反模糊化轉換 | zh_TW |
| dc.subject (關鍵詞) | 模糊統計分析 | zh_TW |
| dc.subject (關鍵詞) | 中位數檢定 | zh_TW |
| dc.subject (關鍵詞) | 變異數檢定 | zh_TW |
| dc.subject (關鍵詞) | 高齡化社會 | zh_TW |
| dc.subject (關鍵詞) | counter-fuzzy transformation | en_US |
| dc.subject (關鍵詞) | fuzzy statistical analysis | en_US |
| dc.subject (關鍵詞) | median test | en_US |
| dc.subject (關鍵詞) | variance test | en_US |
| dc.subject (關鍵詞) | aging society | en_US |
| dc.title (題名) | 模 糊 無 母 數 統 計 檢 定 及 其在 高 齡 化 社 會 調 查 之 應 用 | zh_TW |
| dc.title (題名) | The Fuzzy nonparametric statistical test and its application on the survey of an aging society | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | 1. 吳柏林（2005）。模糊統計導論方法與應用， 頁159-173。台北：五南書局。 | zh_TW |
| dc.relation.reference (參考文獻) | 2. 阮亨中、吳柏林（2000）。模糊數學與統計應用，頁233-250; 頁319-341。台北：俊傑書局。 | zh_TW |
| dc.relation.reference (參考文獻) | 3. 吳柏林（1999）。現代統計學，頁252-255。台北：五南書局。 | zh_TW |
| dc.relation.reference (參考文獻) | 4. 顏月珠（1992）。無母數統計方法，頁180-183。台北 : 三民書局。 | zh_TW |
| dc.relation.reference (參考文獻) | 5. 王文俊（2007）。認識 Fuzzy，頁22-29。台北：全華書局。 | zh_TW |
| dc.relation.reference (參考文獻) | 6. 劉應明、任平（1994）。模糊數學，頁33-34；頁66-67。台北 : 凡異書局。 | zh_TW |
| dc.relation.reference (參考文獻) | 7. Larson, R., Hostetler, R. and Edwards B. H. (2008). Essential Calculus: Early Transcendental Functions. Houghton Mifflin Company, Boston, New York. | zh_TW |
| dc.relation.reference (參考文獻) | 8. Nguyen, H.T. and Wu, B. (2006) Fundamentals of Statistics with Fuzzy Data. | zh_TW |
| dc.relation.reference (參考文獻) | 9. Chen S.Y. (2006) “Nonparametric test with fuzzy data,” NCCU. Master Thesis. | zh_TW |
