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研究生: 蘇旭琳
Su, Hsu-Lin
論文名稱: 在不同資料型態下使用混合模型進行分析之程序探討
Procedures for Analyzing Data with Multi-factor or Multi-dimension Latent Class Structure
指導教授: 陳柏熹
Chen, Po-Hsi
學位類別: 博士
Doctor
系所名稱: 教育心理與輔導學系
Department of Educational Psychology and Counseling
論文出版年: 2019
畢業學年度: 107
語文別: 中文
論文頁數: 148
中文關鍵詞: 多因素潛在類別多向度潛在類別因素混合模型試題反應理論混合模型
英文關鍵詞: multi-factor latent class, multi-dimension latent class, factor mixture model, item response theory mixture model
DOI URL: http://doi.org/10.6345/NTNU201900139
論文種類: 學術論文
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  • 本研究之目的為,探討在「多因素潛在類別」和「多向度潛在類別」情境下,分析連續和二元資料型態的正確程序。本研究以混合模型為基礎,提出不同分析程序,並在因素個數 / 向度個數、因素相關/向度相關、潛在類別個數、潛在類別分離程度各個自變項之下,檢視其對於模式選擇正確率、參數估計和分類結果正確性的影響,並將分析程序相互對照比較,選出最佳程序提供未來分析實徵資料之參考。結果發現,當各個潛在類別的因素不變性程度為強假設,並搭配訊息量指標作為模式判斷依據時,程序一:「先判斷因素結構 / 向度結構,再判斷潛在類別個數,逐步決定最佳結果」和程序三:「假設不同潛在類別個數和不同因素結構 / 向度結構的組合,再判斷最佳適配模型」的表現優於程序二:「先判斷潛在類別個數,再判斷因素結構 / 向度結構,逐步決定最佳結果」。此外,因素相關 / 向度相關和潛在類別分離程度是影響模式判斷正確率的重要變項。最後,作者針對未來研究和實務的應用提出相關建議。

    Multi-factor and multi-dimension structure exist in many test conditions along with continuous and binary responses respectively. And, population heterogeneity exits, too. Thus, in this study, we proposed three analysis procedures based on factor mixture model and item response theory mixture model to analyze data in context of the multi-factor / multi-dimension latent class. Simulations were also manipulated with different levels of factor numbers / dimension numbers, factor correlation / dimension correlation, numbers of latent class and class separation. The result showed that the procedures of “factor / dimension structure first then class number”(procedure 1) and “factor / dimension structure and class number considered simultaneously”(procedure 3) can mostly select the correct model using information criterion, and yielded precise parameter estimation and classification accuracy. It would be appropriate to choose procedure 1 and 3 when strong measurement invariance was assumed while using information criterion. Finally, study limitations and suggestions for future investigations were provided.

    第一章 緒論 1 第一節 研究動機與目的 1 第二節 研究假設 4 第二章 文獻探討 7 第一節 因素混合模型 8 第二節 試題反應理論混合模型 15 第三節 綜合討論 23 第三章 研究方法 27 第一節 研究架構 27 第二節 研究設計 29 第三節 研究程序 34 第四節 資料處理 39 第四章 結果與討論 41 第一節 訊息量指標結果 41 第二節 研究一之研究結果 47 第三節 研究二之研究結果 108 第四節 綜合討論 130 第五章 結論與建議 137 第一節 研究結論與建議 137 第二節 研究限制與未來研究方向 139 參考文獻 141 中文部分 141 西文部分 142 附錄 147 附錄一 因素/向度平均數一覽表 147 附錄二 模擬產生資料與模擬設定真值之所有參數平均差異 148

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