ROBUST ESTIMATES, RESIDUALS, AND OUTLIER DETECTION WITH MULTIRESPONSE DATA

作者: R. Gnanadesikan , J. R. Kettenring

DOI: 10.2307/2528963

关键词:

摘要: SUMMARY The paper gives an overview of concepts and techniques pertaining to (i) the robust estimation multivariate location dispersion; (ii) analysis two types multidimensional residuals-namely those that occur in context principal components as well more familiar residuals associated with least squares fitting; (iii) detection multiresponse outliers. emphasis is on methods for informal exploratory coverage both a survey existing attempt propose, tentatively, some new methodology which needs further investigation development. Some examples use are included.

参考文章(34)
C. Radhakrishhna Rao, The use and interpretation of principal component analysis in applied research Indian Statistical Institute. ,(1964)
D. R. Cox, E. J. Snell, A General Definition of Residuals Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 30, pp. 248- 265 ,(1968) , 10.1111/J.2517-6161.1968.TB00724.X
D.F. ANDREWS, R. GNANADESIKAN, J.L. WARNER, Methods for Assessing Multivariate Normality Multivariate Analysis–III#R##N#Proceedings of the Third International Symposium on Multivariate Analysis Held at Wright State University, Dayton, Ohio, June 19–24, 1972. pp. 95- 116 ,(1973) , 10.1016/B978-0-12-426653-7.50012-0
Francis John Anscombe, Examination of Residuals Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume 1: Contributions to the Theory of Statistics. pp. 1- 36 ,(1961)
Minoru Siotani, The extreme value of the generalized distances of the individual points in the multivariate normal sample Annals of the Institute of Statistical Mathematics. ,vol. 10, pp. 183- 208 ,(1959) , 10.1007/BF02883941
F. J. Anscombe, Rejection of Outliers Technometrics. ,vol. 2, pp. 123- 146 ,(1960) , 10.1080/00401706.1960.10489888
J. R. KETTENRING, Canonical analysis of several sets of variables Biometrika. ,vol. 58, pp. 433- 451 ,(1971) , 10.1093/BIOMET/58.3.433
A. M. Mood, On the Joint Distribution of the Medians in Samples from a Multivariate Population Annals of Mathematical Statistics. ,vol. 12, pp. 268- 278 ,(1941) , 10.1214/AOMS/1177731709