Canonical Analysis Applied to Multivariate Analysis of Variance

Journal of Multivariate Analysis

Volumn 72, Issue 1, 2000, Pages 100-119

  Lejeune, Michel ^a   Caliński, Tadeusz ^b  

^a Bioinformatique et Chimie Moléculaire   (France)

^b POZNA UNIVERSITY OF LIFE SCIENCES   (Poland)

Author keywords

Biplot; Canonical variate analysis; Discriminant analysis; Lawley Hotelling statistic; Linear hypothesis; MANOVA; Simultaneous test; Singular value decomposition

Indexed keywords

EID: 0041408967     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1999.1852     Document Type: Article

References (24)

1. Anderson T. W. An Introduction to Multivariate Statistical Analysis. 1984;Wiley, New York.
2. Caliński T., Czajka S., Kaczmarek Z. A model for the analysis of a series of experiments repeated at several places over a period of years. Biuletyn Oceny Odmian Cultivar Testing Bull. 12:1987;7-71.
3. Caliński T., Czajka S., Kaczmarek Z. A model for the analysis of a series of variety trials repeated at places subject to grouping. Biuletyn Oceny Odmian Cultivar Testing Bull. 21-22:1989;27-64.
4. Caliński T., Lejeune M. Dimensionality in MANOVA tested by a closed testing procedure. J. Multivariate Anal. 65:1998;181-194.
5. Camussi A., Ottaviano E., Caliński T., Kaczmarek Z. Genetic distances based on quantitative traits. Genetics. 111:1985;945-962.
6. Ceranka B., Chudzik H., Czajka S., Kaczmarek Z. Multivariate analysis of variance for the incomplete block design. Roczniki Akad. Rolniczej Poznan. Algorytmy Biometr. Statyst. 5:1976;39-58.
7. Chatfield C., Collins A. J. Introduction to Multivariate Analysis. 1980;Chapman & Hall, London.
8. Eckart C., Young G. The approximation of one matrix by another of lower rank. Psychometrika. 1:1936;211-218.
9. Gabriel K. R. Simultaneous test procedures in multivariate analysis of variance. Biometrika. 55:1968;489-504.
10. Gabriel K. R. The biplot graphic display of matrices with application to principal component analysis. Biometrika. 58:1971;453-467.
11. Gabriel K. R. Analysis of meteorological data by means of canonical decomposition and biplots. J. Appl. Meteorol. 11:1972;1071-1077.
12. Gabriel K. R. Biplot display of multivariate matrices for inspection of data and diagnosis. Barnett V. Interpreting Multivariate Data. 1981;147-173 Wiley, London.
13. Gnanadesikan R. Methods for Statistical Data Analysis of Multivariate Observations. 1977;Wiley, New York.
14. Gower J. C., Hand D. J. Biplots. 1996;Chapman & Hall, London.
15. Kempton R. A. The use of biplots in interpreting variety by environment interactions. J. Agricultural Sci. Cambridge. 103:1984;123-135.
16. Lejeune M. A generic look at factor analysis. Caliński T., Kala R. Proceedings of the International Conference on Linear Statistical Inference LINSTAT'93. 1994;285-291 Kluwer Academic, Dordrecht.
17. Mardia K. V., Kent J. T., Bibby J. M. Multivariate Analysis. 1979;Academic Press, London.
18. 0. Biometrika. 61:1974;381-383.
19. Morrison D. F. Multivariate Statistical Methods. 1976;McGraw-Hill, New York.
20. Pearce S. C. The Agricultural Field Experiment. 1983;Wiley, Chichester/New York.
21. Rao C. R. Advanced Statistical Methods in Biometric Research. 1952;Wiley, New York.
22. Rao C. R. Linear Statistical Inference and Its Applications. 1973;Wiley, New York.
23. Seal H. L. Multivariate Statistical Analysis for Biologists. 1964;Methuen, London.
24. Seber G. A. F. Multivariate Observations. 1984;Wiley, New York.