caa a22 4500 475826841 CHVBK 20180406123830.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1023/A:1017533528342 doi (NATIONALLICENCE)springer-10.1023/A:1017533528342 Influence Diagnostics in the Common Canonical Variates Model [Elektronische Daten] [Hong Gu, Wing Fung] As a generalization of the canonical correlation analysis to k random vectors, the common canonical variates model was recently proposed based on the assumption that the canonical variates have the same coefficients in all k sets of variables, and is applicable to many cases. In this article, we apply the local influence method in this model to study the impact of minor perturbations of data. The method is non-standard because of the restrictions imposed on the coefficients. Besides investigating the joint local influence of the observations, we also obtain the elliptical norm of the empirical influence function as a special case of local influence diagnostics. Based on the proposed diagnostics, we find that the results of common canonical variates analysis for the female water striders data set is largely affected by omitting just one single observation. The Institute of Statistical Mathematics, 2000 Common canonical variates nationallicence influence function nationallicence local influence nationallicence perturbation nationallicence restricted likelihood nationallicence statistical diagnostic nationallicence Gu Hong Department of Statistics and Actuarial Science, University of Hong Kong, Pokfulam Road, Hong Kong, China aut Fung Wing Department of Statistics and Actuarial Science, University of Hong Kong, Pokfulam Road, Hong Kong, China aut Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/4(2000-12-01), 753-766 0020-3157 52:4<753 2000 52 10463 https://doi.org/10.1023/A:1017533528342 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1017533528342 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gu Hong Department of Statistics and Actuarial Science, University of Hong Kong, Pokfulam Road, Hong Kong, China aut NATIONALLICENCE 700 1- Fung Wing Department of Statistics and Actuarial Science, University of Hong Kong, Pokfulam Road, Hong Kong, China aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 52/4(2000-12-01), 753-766 0020-3157 52:4<753 2000 52 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer