關於傳統一致檢定問題, 本文進一步考慮適當的對立假設, 使其檢定力提高, 並同時 控制第Ⅰ及第Ⅱ類型錯誤的機率, 以克服一些傳統方法的困難。文中主要是應用無母 數的子集合選擇程序, 來檢定多個迴歸母體之各成分效應是否一致; 若不一致, 又其 間的大小關係如何。共分四章, 摘要如下: 第一章為緒論。 第二章考慮一般型態的假設, 提出有效的檢定方法, 並以特殊情形為例, 分析比較之 。 第三章針對一種特殊型態的假設, 提出最適當檢定方法, 並以特殊情形為例, 分析比 較之。 第四章為結論。

由於模式的設定常會有選擇適當模式的問題。而模式之間或其型式，或其變數均無互 相關連者稱之為非巢形模式，對於這類型模式選擇的方法中假設檢定是常用的方法。 因其檢定有別於傳統的假說檢定，故而本文在其理論依據的探討及檢定方法作一比較 研究。本文分為六章，第一章緒論。第二章非巢形模式檢定之理論物性及其應用。與 傳統檢定比較即可知其理論特性，又因它以不同族群模式檢定的理論為依據，所以在 這章中對於檢定統計量之推導過程作一歸納性的整理。第三章包涵模式檢定法，比較 兩種常用的一般模式，作推導其檢定統計量。第四章非巢形迴歸模式之檢定，此乃這 類檢定方法之應用，這章將應用前兩章之結果，推導較簡易的檢定方法。第五章實例 ，將印證上述之理論並比較之。第六章結論。

十二年國教及中小學教師評鑑即將上路，教學方向的調整與教師能力的提升在不久的將來將列為重要的教師績效指標之一。教師應如何轉型，及如何提升學生的上課狀況，都可透過教學問卷的回饋來作參考；教學問卷可直接且快速的反應學生想法並成為師生溝通的交流管道，使教師反省自我教學方式及技巧，進而改善；因此，在使用問卷時，若利用傳統的統計分析方式來研究結果，強迫學生採用二元邏輯的方式思考與解釋問卷結果，將可能會導致偏差或錯誤的結論。本論文應用模糊理論的概念，以模糊問卷為工具，利用模糊德菲法探討學生喜歡的數學老師類型，再提出新反模糊化值，並藉由模糊威克生等級和檢定及變異數檢定方法，分析學生滿意度是否會因性別、年紀、成績、背景而有所不同，最後討論學校老師及校外老師間的滿意度是否有差別。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，進而期望能對教學問卷的分析和決策有所貢獻，並將此方法運用於其它模糊性議題之研究。 / The twelve-year compulsory education and the evaluation of the primary and secondary school teachers are brought into practice. The way teachers organizing their teaching strategies and improving their capability will be the key indicators of teachers’ performance review in the coming future. How will teachers fine-tune their instructional skill to attract students’ focus and then to boost students’ learning motivation and academic performance, is binding to the result of a practical Teaching Assessment System. The satisfaction questionnaires designed to students as teachers’ Teaching Assessment is a good evaluation tool to have student’s feedback on teachers’ performance. The questionnaires can quickly and directly reflect the thoughts of the students and serve as a communication channel between the teachers and the students, which can help teachers examine and ameliorate how and what they teach. The result could be used as reference for teachers to enhance the quality and effectiveness of teaching. In those varies of statistical methods used as analysis, if conventional statistical analysis is adapted to analyze the questionnaires and force the students to think and to explain through binary logic, it may result in deviations or erroneous consequences. Furthermore, it may drive to the exaggerated interpretation and detrimental decision. The study, based on Fuzzy Delphi Methods, aims to apply the concept of fuzzy theory and uses fuzzy questionnaires as a tool to analyze what kinds of mathematics teachers the students like. We propose the counter-fuzzy transformation, by using the Fuzzy Wilcoxon Rank-Sum Test and variance test to assay whether the students’ satisfaction differ owing to gender, age, grade, or their family background. Lastly, we will discuss whether the satisfaction is different between the school teachers and the teachers in other schools. The result demonstrates that assaying method, as using fuzzy statistics analysis, is a functional and competent way to analyze fuzzy sampling data through its aims and objectives. We believe it could sustain to support related analysis and decision making on Teaching Assessment, and also could be used to other fuzzy test study.