Dimensionality in Manova Tested by a Closed Testing Procedure

Journal of Multivariate Analysis

Volumn 65, Issue 2, 1998, Pages 181-194

  Caliński, Tadeusz ^a   Lejeune, Michel ^b  

^a POZNA UNIVERSITY OF LIFE SCIENCES   (Poland)

^b Bioinformatique et Chimie Moléculaire   (France)

Author keywords

Canonical analysis; Closed testing procedure; Lawley Hotelling trace; MANOVA model; Multivariate linear hypothesis; Testing dimensionality hypotheses

Indexed keywords

EID: 0040088696     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1997.1722     Document Type: Article

References (17)

1. Backhouse A. R., McKay R. J. Tests of dimensionality in multivariate analysis of variance. Comm. Statist. Theory Methods. 11:1982;1003-1027.
2. Caliński T., Czajka S., Kaczmarek Z., Lejeune M. The application of factor analysis in interpreting results of a series of variety trials. I. Theory. Biuletyn Oceny Odmian - Cultivar Testing Bull. 26-27:1995;7-22.
3. Caliński T., Czajka S., Kaczmarek Z., Lejeune M. The application of factor analysis in interpreting results of a series of variety trials. II. Example. Biuletyn Oceny Odmian - Cultivar Testing Bull. 26-27:1995;23-38.
4. Caliński T., Lejeune M. Choix du nombre de fonctions linéaires discriminantes. Rev. Statist. Appl. 46:1998;25-40.
5. Ceranka B., Chudzik H., Czajka S., Kaczmarek Z. Multivariate analysis of variance for the incomplete block design. Roczniki Akad. Rolniczej w Poznaniu, Algorytmy Biometryczne i Statystyczne. 5:1976;39-58.
6. Fujikoshi Y. The likelihood ratio tests for the dimensionality of regression coefficients. J. Multivariate Anal. 4:1974;327-340.
7. Fujikoshi Y., Veitch L. G. Estimation of dimensionality in canonical correlation analysis. Biometrika. 66:1979;345-351.
8. Gabriel K. R. Simultaneous test procedures - Some theory of multiple comparisons. Ann. Math. Statist. 40:1969;224-250.
9. Hochberg Y., Tamhane A. C. Multiple Comparison Procedures. 1987;Wiley, New York.
10. Marcus R., Peritz E., Gabriel K. R. On closed testing procedures with special reference to ordered analysis of variance. Biometrika. 63:1976;655-660.
11. Mardia K. V., Kent J. T., Bibby J. M. Multivariate Analysis. 1979;Academic Press, London.
12. 0. Biometrika. 61:1974;381-383.
13. Rao C. R. Linear Statistical Inference and Its Applications. 1973;Wiley, New York.
14. Rao C. R., Mitra S. K. Generalized Inverse of Matrices and its Applications. 1971;Wiley, New York.
15. Schott J. R. Optimal bounds for the distributions of some test criteria for tests of dimensionality. Biometrika. 71:1984;561-567.
16. Seber G. A. F. Multivariate Observations. 1984;Wiley, New York.
17. Seo T., Kanda T., Fujikoshi Y. The effects of nonnormality on tests for dimensionality in canonical correlation and MANOVA models. J. Multivariate Anal. 52:1995;325-337.