结构方程中因子载荷至少是多少

xxxspy 2023-05-25 16:07:47
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为了让结构方程模型(SEM)具有良好的拟合,我们往往对因子载荷有一个最低要求, 但是最低多少呢, 并没有严格的标准, 我搜索了全网,找到一些参考的值,大家可以看看,参考文献在最下面。

中文版

因子载荷是潜在变量和观察指标之间的相关性。因子载荷的“必要”强度取决于两者之间理论上假定的关系,这又取决于潜在变量的假定含义。

英文版:

Factor loading is a supposed correlation between a latent variable and an observed indicator. The “necessary” strength of the factor loadings depends on the theoretically assumed relationship between both - which in turn depends on the supposed meaning of the latent variable.

• Hair et al (2006) - standardized loading estimates should be 0.5 or higher, and ideally 0.7 or higher.

• On the other hand, Field (2005) suggests to regard a factor as reliable if it has four or more loadings of at least 0.6 regardless of sample size.

• Stevens (1992) suggests using a cut-off of 0.4, irrespective of sample size, for interpretative purposes.

• Comrey and Lee (1992) in suggesting using more stringent cut-offs going from 0.32 (poor), 0.45 (fair), 0.55 (good), 0.63 (very good), or 0.71 (excellent).

References:

  1. Hair, J. F. Jr., Black, W. C., Babin, B. J., Anderson R. E., & Tatham, R. L. (2006). Multivariate Data Analysis (6th ed.), Upper Saddle River, NJ: Prentice Education, Inc.

  2. FIELD, A.(2005). Discovering Statistics Using SPSS. London: SAGE Publications

  3. Stevens, J. (1992). Applied multivariate statistics for the social sciences. (2nd ed.). Hillsdale, New Jersey: Lawrence Erlbaum Associates.

  4. Comrey, A. L., & Lee, H. B. (1992). Interpretation and application of factor analytic results. Comrey AL, Lee HB. A first course in factor analysis, 2, 1992.