
doi: 10.2307/2347068
SUMMARY Robust M-estimation for canonical variate analysis is developed, based on a functional relationship model; the associated weights depend on the distance of an observation from the canonical variate mean for the group. For uncontaminated data, the robust Mestimation procedure performs similarly to the usual canonical variate analysis. A typical data set is examined; the usual canonical vectors are little affected by the presence of atypical observations, though the canonical roots are considerably influenced.
canonical variate analysis, functional relationship model, Classification and discrimination; cluster analysis (statistical aspects), Estimation in multivariate analysis, Robustness and adaptive procedures (parametric inference), robust estimation, M-estimator, outlier detection, discriminant analysis
canonical variate analysis, functional relationship model, Classification and discrimination; cluster analysis (statistical aspects), Estimation in multivariate analysis, Robustness and adaptive procedures (parametric inference), robust estimation, M-estimator, outlier detection, discriminant analysis
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