caa a22 4500 465750214 CHVBK 20180323111832.0 cr unu---uuuuu 170327e19900301xx s 000 0 eng 10.1007/BF01889705 doi (NATIONALLICENCE)springer-10.1007/BF01889705 Krzanowski W. Department of Applied Statistics, University of Reading, Whiteknights, P.O. Box 217, RG6 2AN, Reading, U.K. aut Between-group analysis with heterogeneous covariance matrices: The common principal component model [Elektronische Daten] [W. Krzanowski] Analysis of between-group differences using canonical variates assumes equality of population covariance matrices. Sometimes these matrices are sufficiently different for the null hypothesis of equality to be rejected, but there exist some common features which should be exploited in any analysis. The common principal component model is often suitable in such circumstances, and this model is shown to be appropriate in a practical example. Two methods for between-group analysis are proposed when this model replaces the equal dispersion matrix assumption. One method is by extension of the two-stage approach to canonical variate analysis using sequential principal component analyses as described by Campbell and Atchley (1981). The second method is by definition of a distance function between populations satisfying the common principal component model, followed by metric scaling of the resulting between-populations distance matrix. The two methods are compared with each other and with ordinary canonical variate analysis on the previously introduced data set. Springer-Verlag New York Inc, 1990 Between-group analysis nationallicence Canonical variate analysis nationallicence Common principal component model nationallicence Eigenvalues and eigenvectors nationallicence Matusita distance between populations nationallicence Metric scaling nationallicence Principal component analysis nationallicence Journal of Classification Springer-Verlag 7/1(1990-03-01), 81-98 0176-4268 7:1<81 1990 7 357 https://doi.org/10.1007/BF01889705 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01889705 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Krzanowski W. Department of Applied Statistics, University of Reading, Whiteknights, P.O. Box 217, RG6 2AN, Reading, U.K aut NATIONALLICENCE 773 0- Journal of Classification Springer-Verlag 7/1(1990-03-01), 81-98 0176-4268 7:1<81 1990 7 357 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer