ISSN 0439-755X
CN 11-1911/B
主办：中国心理学会
　　　中国科学院心理研究所
出版：科学出版社

心理学报 ›› 2004, Vol. 36 ›› Issue (02): 186-194.

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结构方程模型检验：拟合指数与卡方准则

温忠麟,侯杰泰,马什赫伯特   

  1. （1香港中文大学教育学院，香港） （2华南师范大学教科院，广州 510631） （3西悉尼大学教育学院，悉尼, 澳大利亚）
  • 收稿日期:2003-02-22 修回日期:2003-02-22 发布日期:2004-03-30 出版日期:2004-03-30
  • 通讯作者: 温忠麟

STRUCTURAL EQUATION MODEL TESTING: CUTOFF CRITERIA FOR GOODNESS OF FIT INDICES AND CHI-SQUARE TEST

Wen Zhonglin,Hau Kit-Tai,Herbert W Marsh   

  1. （1 Faculty of Education, The Chinese University of Hong Kong, Hong Kong, China） （2 Faculty of Education, South China Normal University, Guangzhou, 510631, China） （3 Faculty of Education, University of Western Sydney, Australia, NSW2560）
  • Received:2003-02-22 Revised:2003-02-22 Online:2004-03-30 Published:2004-03-30

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摘要： 讨论了Hu和Bentler（1998，1999）推荐的检验结构方程模型的7个拟合指数准则，对这7个指数的历史、特点和表现做了比较详细的述评。指出了他们基于这7个指数的单指数准则和2-指数准则的不足之处。提出了超低显著性水平下的卡方准则，并部分重复他们的模拟例子，将卡方准则与这7个指数准则比较，结果说明新的卡方准则优于其中的6个，与另一个相当。最后简要说明了应当如何检视拟合指数进行模型检验和模型比较。

关键词: 结构方程, 模型检验, 拟合指数, 临界值, 卡方检验

Abstract: Recent cutoff criteria for goodness of fit indices in structural equation analysis proposed by Hu and Bentler (1998, 1999) were discussed. After reviewing their recommended 7 indexes, we demonstrated the inappropriateness of their single index or 2-index combinational rules. Subsequently we proposed that a new rule based on Chi-square test at a certain extremely low significant level was more useful for their purposes. Comparing with Hu and Bentler's rules, we showed that our proposed rule is better and more appropriate. Finally, we discussed guidelines on ways to evaluate a fitted model or to compare alternative models.

Key words: structural equation, model testing, fit index, cutoff value, Chi-square test

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