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研究生:劉心筠
研究生(外文):Liu Hsin Yun
論文名稱:潛藏成長模式檢定力研究
指導教授:楊志堅楊志堅引用關係
學位類別:碩士
校院名稱:臺中師範學院
系所名稱:數學教育學系
學門:教育學門
學類:普通科目教育學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
中文關鍵詞:潛藏成長模式檢定力潛藏變數樣本數平均成長率
外文關鍵詞:latent growth modelpowerlatent variablessample sizethe average growth rate
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  • 被引用被引用:3
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本文主要探討潛藏成長模式(Latent growth model, LGM)的檢定力,作為模式修正的參考。潛藏成長模式是近年廣泛被利用於縱貫研究分析的模式之一,潛藏成長模式是從結構化方程式模型(Structural equation models, SEM)的理論架構推導而來。因此本文以Satorra和Saris(1985)所提出的檢定力求算方法,針對潛藏成長模式中平均成長率的因子,進行檢定力研究。了解潛藏變數的變異數、平均成長率、樣本數等影響檢定力的因素對檢定力所造成的影響,並列舉綜合檢定力表供實徵研究參考。

The paper is mainly focus on the discovery of the power of Latent growth model (LGM hereafter) to be used for the reference of model modification .The latent growth models to be studied are much popularized in recent years especially at longitudinal study. Latent growth model was derived from theories of the structural equation models (SEM). This paper is based on the method proposed by Satorra, & Saris in 1985 to make a research for the power of LGM. The power of LGM is varied by three variables, the average growth rate, the variance of latent variables and sample sizes. This paper is to check the impact of these three variables to the power of LGM and tabulate the list of the powers for reference of the further researches.

第一章 緒論………………………………… 1
第一節 問題背景……………………………………… 1
第二節 研究動機……………………………………… 2
第三節 研究目的……………………………………… 4
第二章 文獻回顧………………………….. 5
第一節 潛藏成長模式……………………………….. 5
第二節 模式的假設檢定…………………………….. 7
第三節 檢定力估計的相關研究……………………… 10
第三章 研究方法…………………………… 16
第一節 研究流程……………………………………… 16
第二節 研究模式的設定……………………………… 16
第三節 檢定力的求算………………………………… 19
第四節 檢定力表的說明……………………………… 20
第四章 研究結果分析……………………… 21
第一節 潛藏變數的共變異數矩陣對檢定力的影響… 21
第二節 影響規模對檢定力的影響…………………… 30
第三節 綜合檢定力表…..…………………………… 32
第四節 實證研究.………………………………….… 34
第五章 結論與建議..……………………… 36
第一節 結論.…………………………………………. 36
第二節建議.………………………………………….. 37
參考文獻……………………………………….. 38
附錄一………………………………………….. 41
附錄二………………………………………….. 68

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