共同因素分析與主成份分析之比較

Comparisons between Common Factor Analysis and Principal Component Analysis

黃財尉(Tsai-Wei Huang)

《彰化師大輔導學報》 25期 (2003/10) Pp. 63-86

https://doi.org/10.7040/GJ.200310.0063

摘要

本文主要藉文獻的考徵，探討共同因素分析與主成份分析在學理上與實徵上的差異，並且七個主題進行討論：(1)因素與成份的正名；(2)共同因素分析的原理；(3)主成份分析的原理；(4)共同因素分析與主成份分析的學理比較；(5)共同因素分析與主成份分析的實徵研究比較；(6)因素或成份的萃取程序比較；(7)應用與解釋上的差異比較。文末並提供兩方法相同、相異與相似之條件的歸納表格。

關鍵字

共同因素分析 ； 共同性 ； 成分 ； 主成份分析 ； 萃取程序 ； 縮減式相關矩陣

並列摘要

The main purpose of this article was to explore the differences between common factor analysis (CFA) and principal component analysis (PCA) through literature reviews. Seven topics were discussed: (1) Factor or Component? (2) Rationales of CFA; (3) Rationales of PCA; (4) Comparisons of rationales between CFA and PCA; (5) Comparisons of empiric evidence between CFA and CPA; (6) Comparisons of abstracting procedures between CFA and PCA; (7) Comparisons of applications and interpretations between CFA and PCA. At the end of this article, a final comparison table, including the sameness, the differences, and the conditions of similarity between CFA and PCA was exhibited.

並列關鍵字

Factor ； Common Factor Analysis ； Communality ； Component ； Principal Component Analysis ； Abstracting procedures ； Reduced Correlation Matrix

參考文獻

傅萃馨(2002)。主成份分析和共同因素分析相關議題之探究。教育與社會研究。1(3)，107-132。

Anastasi, A.(1988).Psychological testing.NY:Macmillian.

Bentler, P. M.,Kano, Y.(1990).On the equivalence of factors and components.Multivariate Behavior Research.25(1),67-74.

Browne, M. W.,Cudeck, R.(1992).Alternative ways of assessing model fit.Sociological Methods and Research.21,230-258.

Dunteman, G. H.,M. S. Lewis-Beck (Eds.)(1994).Factor analysis and related techniques.Sara Miller McCune, CA:Sage Publications, Inc.