Two new goodness‐of‐fit indices for covariance matrices with linear structures
作者:
Sadhan Samar Maiti,
Bishwa Nath Mukherjee,
期刊:
British Journal of Mathematical and Statistical Psychology
(WILEY Available online 1991)
卷期:
Volume 44,
issue 1
页码: 153-180
ISSN:0007-1102
年代: 1991
DOI:10.1111/j.2044-8317.1991.tb00953.x
出版商: Blackwell Publishing Ltd
数据来源: WILEY
摘要:
Two new indices each based on two different methods of estimating the population covariance matrix Σ are derived. Certain algebraic results on these indices are also reported. A case study has been presented to show how the proposed indices in comparison to Jöreskog‐Sörbom's GFI are more efficient in detecting the ‘best’ structure out of 13 competing structures hypothesized for the Graduate Record Examination data. Algebraically it has also been shown that the limiting value of GFI fails to reach the desired value of zero under model misspecification. A Monte Carlo study also shows that with increasing sample size the proposed indices as compared to others show more and more sensitivity to model misspecification. Other advantages of the indices as measures of structural closeness ofZto S are d
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