Abstract
A robust version of general procedure of sensitivity analysis is proposed for detecting influential subsets of observations in multivariate methods in which influence functions are available. A numerical investigation is carried out to illustrate the performance of the proposed procedure for detecting two types of perturbed observations in confirmatory factor analysis.
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References
Betsley, D. A., Kuh, E. and Welsch, R. E. (1980). Regression Diagnostics: Identifying Influential Data and Sources of Collinearity. John Wiley and Sons.
Campbell, N. A. (1980). Robust procedures in multivariate analysis I: Robust covariance estimation. Appl. Statist. 29. 231–237.
Cook, R. D. and Weisberg, S. (1982). Residuals and Influence in Regression. Chapman and Hall.
Critchley, F. (1985). Influence in principal component analysis. Biometrika, 72. 627–636.
Radhakrishnan. R. and Kshirsagar, A. NI. (1981). Influence functions for certain parameters in multivariate analysis. Comm. Statist., A10. 515–529.
Rousseeuw, P.J. and Leroy, A. M. (1987). Robust Regression and Outlier Detection. John Wiley and Sons.
Rousseeuw, P. J. and van Zomeren, B. C. (1990). Unmasking multivariate outliers and leverage point. JASA, 85, 633–639.
Tanaka. Y. (1992). Sensitivity analysis in multivariate methods: Principles, methods and software. Technical Report of Okayama Statistical Association. 52.
Tanaka, Y., Castano-Tostado, E. and Odaka, Y. (1990). Sensitivity analysis in factor analysis: Methods and software. COMPSTAT 1990 (K. Momirovic and V. Mildner, eds. ), Physica-Verlag, 205–210.
Tanaka, Y. and Odaka. Y. (1989a). Influential observations in principal factor analysis. Psychometrika. 54, 473–485.
Tanaka. Y. and Odaka. Y. (1989b). Sensitivity analysis in maximum likelihood factor analysis. Comm. Statist., A18, 4067–4084.
Tanaka, Y., Watadani, S. and Moon, S. H. (1991). Influence in covariance structure analysis: With an application to confirmatory factor analysis. Comm. Statist., A20, 3805–3821.
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© 1994 Springer-Verlag Berlin Heidelberg
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Tanaka, Y., Watadani, S. (1994). Unmasking Influential Observations in Multivariate Methods. In: Dutter, R., Grossmann, W. (eds) Compstat. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-52463-9_33
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DOI: https://doi.org/10.1007/978-3-642-52463-9_33
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0793-6
Online ISBN: 978-3-642-52463-9
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