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Identifying Influential Observations for Loadings in Factor Analysis

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Summary

Influence measures based on the sample influence curves for the initial and rotated loadings are discussed and some scalar influence measures based on the Cook’s distance are proposed. Large values of influence measures may not necessarily imply a large influence on the factor loadings but a minor change of the variances explained leading to the change of the ordering of the factors. Therefore, the sample influence curves may, in fact, measure the difference between two different factors, instead of the change of one factor before and after an observation is omitted. The switching problem is studied by investigating the factor loadings pattern, variances explained and factor scores.

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H. Yanai A. Okada K. Shigemasu Y. Kano J. J. Meulman

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© 2003 Springer Japan

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Fung, W.K., Kwan, C.W. (2003). Identifying Influential Observations for Loadings in Factor Analysis. In: Yanai, H., Okada, A., Shigemasu, K., Kano, Y., Meulman, J.J. (eds) New Developments in Psychometrics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-66996-8_17

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  • DOI: https://doi.org/10.1007/978-4-431-66996-8_17

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-66998-2

  • Online ISBN: 978-4-431-66996-8

  • eBook Packages: Springer Book Archive

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