Sensitivity analysis in multivariate methods: Decomposition of an arbitrary influence into a finite number of components

Bibliography

• Benasseni , J. 1988 . “ Sensitivity of principal component analysis to data perturbation ” . In Data Anal.ysis and Informatics , Edited by: Diday , E. Vol. V , 303 – 310 . Elsevier .
   Google Scholar
• Critchley , F. 1985 . Influence in principal component analysis . Biomeirika , 72 : 627 – 636 .
   Web of Science ®Google Scholar
• Dillon , W.R. and Goldstein , M. 1984 . Multivariate Anal.ysis: Methods and Applications , John Wiley .
   Google Scholar
• Hampel , F.R. 1974 . The influence curve and its role in robust estimation . J. Amer. Statist. Assoc , 69 : 383 – 93 .
   Web of Science ®Google Scholar
• Jollifle , I.T. 1986 . Principal Component Anal.ysis , Springer-Verlag .
   Google Scholar
• Kshirsagar , A.M. 1972 . Multivariate Anal.ysis , Marcel Dekker .
   Google Scholar
• Mardia , K.V. , Kent , J.T. and Bibby , J.M. 1979 . Multivariate Anal.ysis , Academic Press .
   Google Scholar
• Pack , P. , Jollifle , I.T. and Morgan , B.J.T. 1988 . Influential observations in principal component analysis : a case-study . J. Appl. Statist , 15 : 37 – 50 .
   Google Scholar
• Radhakrishnan , R. and Kshirsagar , A.M. 1981 . Influence functions for certain parameters in multivariate analysis . Gomm. Statist , A10 : 515 – 529 .
   Google Scholar
• Sibson , R. 1979 . Studies in the robustness of multidimensional scaling: perturbation analysis of classical scaling . R. Statist. Soc , A10 : 217 – 229 .
   Google Scholar
• Tanaka , Y. 1984 . Sensitivity analysis in Hayashi's third method of qualification . Behaviormetrika , 16 : 31 – 44 .
   Google Scholar
• Tanaka , Y. 1988 . Sensitivity analysis in principal component analysis : influence on the subspace spanned by principal components . Comm. Statist , A17 : 3157 – 3175 .
   Google Scholar
• Tanaka , Y. 1989 . Influence functions related to eigenvalue problems which appear in multivariate analysis . Comm. Statist , A 18 : 3991 – 4010 .
   Google Scholar
• Tanaka , Y. and Odaka , Y. 1989a . Influential observations in principal factor analysis . Psychometrika , 54 : 475 – 485 .
   Web of Science ®Google Scholar
• Tanaka , Y. and Odaka , Y. 1989b . Sensitivity analysis in maximum likelihood factor analysis . Comm.Statist , A 18 : 4067 – 4084 .
   Google Scholar
• Tanaka , Y. and Odaka , Y. 1989c . “ Sensitivity analysis in least squares factor analysis ” . In Data Anal.ysis, Learning Symbolic and Numeric Knowledge , Edited by: Diday , E. 141 – 148 . Nova Science Publisher .
   Google Scholar
• Tanaka Y. Tarumi T. Sensitivity analysis in canonical factor analysis Okayama Statisticians Group 1988 Technical Report No.25
   Google Scholar