研究生: |
劉奕均 Liu, Yi-Chun |
---|---|
論文名稱: |
探討高教學生於假設檢定的統計認知 An Exploration about Undergraduate and Graduate Students' Statistical Cognition in Hypothesis Testing |
指導教授: |
楊凱琳
Yang, Kai-Lin |
口試委員: |
林素微
Lin, Su-Wei 王婷瑩 Wang, Ting-Ying 楊凱琳 Yang, Kai-Lin |
口試日期: | 2023/06/28 |
學位類別: |
碩士 Master |
系所名稱: |
數學系 Department of Mathematics |
論文出版年: | 2023 |
畢業學年度: | 111 |
語文別: | 中文 |
論文頁數: | 124 |
中文關鍵詞: | 假設檢定 、統計認知 |
研究方法: | 內容分析法 、 半結構式訪談法 |
DOI URL: | http://doi.org/10.6345/NTNU202300664 |
論文種類: | 學術論文 |
相關次數: | 點閱:101 下載:37 |
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本研究藉由文獻探討形成假設檢定概念之評量架構,並據以設計試題,探討大學生與研究生在假設檢定概念試題的表現概況。研究問題包括「假設檢定測驗試題的效度、信度為何?」、「大學生與研究生在假設檢定測驗試題的表現概況為何?」
為了回答以上的研究問題,本研究以主要文獻與統計學教科書為出發點,分析假設檢定的概念,再依分析結果與文獻探討形成測驗目標,並據以進行試題設計,形成預試試題。研究者先行邀請1名數學系大學生寫預試試題,並請受試者於作答時放聲思考,以利收集受試者對試題的各種想法。為檢驗試題效度,預試試題交由2名大學統計學專家教授審查試題內容與測驗目標,並邀請2名曾經教過合理性檢定單元的高中數學教師檢驗預試測驗試題之雙向細目表。研究者根據專家審查結果修正預試試題,修正完畢後形成本研究的正式試題,收集63名大學生或研究生的回應與分析結果。
本研究的結論指出,依據假設檢定概念評量架構發展出的測驗試題,其試題內容具有專家效度,其雙向細目表具有編碼一致性;具有3題以上測驗試題之層面,其Cronbach’s 係數在0.6以上,具有可接受的信度。本研究亦針對各項子概念之試題提出受試者的表現概況,並指出以平均通過率而言,對本研究受試者由易而難的子概念依序是「樣本統計量與p值」、「統計假設」、「抽樣與抽樣分布」、「型一與型二錯誤」、「顯著水準與顯著性」、「母體比例的假設檢定」,從統計認知面向來看,本研究之思考試題對受試者而言較為困難,而知識試題的平均通過率與推理試題相近。
本研究亦針對假設檢定測驗試題設計、假設檢定於大學及高中階段的教與學提供建議,供未來的研究者參考。
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