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Please use this identifier to cite or link to this item:
https://nccur.lib.nccu.edu.tw/handle/140.119/97638
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| Title: | 階層線性模式之理論與應用:以「影響自然科成績之因素的研究」為分析實例 |
| Other Titles: | The Theory and Application of Hierarchical Linear Model |
| Authors: | 劉子鍵 ; 林原宏 |
| Keywords: | 階層線性模式 ; 共變數成分模式 ; 自然科成就
Hierarchical linear model ; Covariance components model ; Nature science achievement |
| Date: | 1997-06 |
| Issue Date: | 2016-06-04 14:44:29 (UTC+8) |
| Abstract: | 本文旨在介紹階層線性模式(hierarchical linear model,簡稱HLM)的發展、基本 理論，並藉由實例的分析及結果的解釋來說明ＨＬＭ的應用。 文中首先概要說明ＨＬＭ目前的發展、介紹各領域中所使用的名稱，以及目前發展成熟的電腦 統計軟體等。其次，以二階層ＨＬＭ為例，說明ＨＬＭ的基本原理，介紹完整模式（以階層一 方程式的截距及斜率做為階層二方程式之結果變項的迴歸(intercepts-and slopes-as-outcomes)，並就一般常用的五種次模式(submodel)分別說明其基本假設、特色及 使用時機。所提出之次模式計有隨機效果單因子變異數分析(one-way ANOVA with random effects)、以階層一方程式中的各組平均數做為階層二方程式之結果變項的迴歸模式 (means-as-outcomes regression)、隨機效果單因子共變數分析(one-way ANCOVA with random effects)、隨機係數的迴歸模式(random coefficients regression model)、帶有非 隨機變化之斜率的模式(a model with nonrandomly varying slopes)等五種模式。 最後，本文以陳素琴、蘇育任和林原宏（民８４）就中部地區國小五、六年級學生所進行之「 影響自然科成績之相關因素研究」為實例進行統計分析及結果解釋，並對今後有關研究提出建 議。
The purpose of this paper was to introduce the theory of "Hierarchical Linear Model" (HLM). The authors also gave a analysis of real data. By this way, the reader will realize the application of HLM. First, in this paper, we introduced the different names of HLM in other research area. Besides this, the software of HLM was be introduced. Second, we explain the theory of HLM. In addition to the "full model",of HLM, we also raised five submodels of HLM, which were "one-way ANOVA with random effects", "means-as-outcomes regression", "one-way ANCOVA with random effects", "random coefficients regression model", and "a model with nonrandomly varying slopes". In this paper, the assumption, characteristics, and application of the above five submodels were be discussed. Finally, we analyzed the data, which was from the plan of NSC, and explained the results. From the analysis we gave some suggestions for further research. |
| Relation: | 教育與心理研究, 20(上),1-21
Journal of Education & Psychology |
| Data Type: | article |
| Appears in Collections: | [教育與心理研究 TSSCI] 期刊論文
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