New Multivariate Tests for Data with an Inherent Structure

Biometrical Journal

Volumn 38, Issue 1, 1996, Pages 5-23

  Läuter, Jürgen ^a   Glimm, Ekkehard ^a   Kropf, Siegfried ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

Confirmatory data analysis; Exploratory data analysis; F test; Factor structure; Multiple endpoints; Multivariate stability; One factor model; Principal components; Spherical distribution; Sum statistics; t test

Indexed keywords

INFORMATION ANALYSIS; MULTIVARIANT ANALYSIS; PRINCIPAL COMPONENT ANALYSIS; STATISTICAL TESTS;

CONFIRMATORY DATA ANALYSE; EXPLORATORY DATA ANALYSIS; F TEST; FACTOR MODEL; FACTOR STRUCTURE; MULTIPLE ENDPOINT; MULTIVARIATE STABILITY; ONE-FACTOR; ONE-FACTOR MODEL; PRINCIPAL COMPONENTS; SPHERICAL DISTRIBUTION; SUM STATISTICS; T-TESTS;

DATA HANDLING;

EID: 0042688770     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. ANDERSON, T. W., 1984: An introduction to multivariate statistical analysis. 2nd edition. Wiley, New York.
2. COX, N. R., 1976: The linear structural relation for several groups of data. Biometrika 63, 2, 231-237.
3. DAWID, A. P., 1977: Spherical matrix distributions and a multivariate model. J. R. Statist. Soc. 39, 254-261.
4. DAWID, A. P., 1978: Extendability of spherical matrix distributions. J. Mult. Anal. 8, 559-566.
5. FANG, K. T. and ZHANG, Y., 1990: Generalized multivariate analysis. Springer, Berlin.
6. JÖRESKOG, K. G. and SÖRBOM, D., 1989: LISREL 7 - A guide to the program and applications. 2nd edition. SPSS Inc., Chicago.
7. LÄUTER, J., 1986: Discriminant analysis in special models - Theoretical and practical results. Proc. Conf. DIANA II, Liblice (Czechoslovakia), 17-38.
8. LÄUTER, J., 1992: Stabile multivariate Verfahren. Akademie Verlag, Berlin.
9. LÄUTER, J., 1996: Exact t and F tests for analyzing studies with multiple endpoints. Accepted by Biometrics.
10. LÄUTER, J., KROPF, S., and GLIMM, E., 1995: Stabilisierte Tests zur multivariaten Auswertung medizinischer Studien. In: KUNATH, H. et al. (eds.), Medizin und Information, 39. Jahrestagung der GMDS, 1994, MMV Medizin Verlag, München, 381-387.
11. LEHMANN, E. L., 1986: Testing statistical hypotheses. 2nd edition. Wiley, New York.
12. O'BRIEN, P. C., 1984: Procedures for comparing samples with multiple endpoints. Biometrics 40, 1079-1087.
13. REYMENT, R. A. and JÖRESKOG, K. G., 1993: Applied factor analysis in the natural sciences. 2nd edition. Cambridge University Press, Cambridge.
14. SEBER, G. A. F., 1984: Multivariate observations. Wiley, New York.
15. SÖRBOM, D., 1974: A general method for studying differences in factor means and factor structure between groups. Br. J. Math. Statist. Psychol. 27, 229-239.
16. TANG, D. I., GELLER, N. L., and POCOCK, S. J., 1993: On the design and analysis of randomized clinical trials with multiple endpoints. Biometrics 49, 23-30.