Testing the significance of the successive components in redundancy analysis

Psychometrika

Volumn 67, Issue 3, 2002, Pages 411-419

  Lazraq, Aziz ^a   Cléroux, Robert ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

Canonical correlation; Multivariate linear regression; Redundancy analysis; Significant factors; Tests of significance

Indexed keywords

EID: 0036746615     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02294993     Document Type: Article

References (22)

1. Anderson, R.L., & Bancroft, T.A. (1952). Statistical theory in research. New York, NY: McGraw-Hill.
2. Bry, X. (1996). Analyses factorielles multiples [Multiple factorial analyses]. Paris, France: Economica.
3. Buzas, T.E., Fornell, C., & Byong-Duk Rhee. (1989). Conditions under which canonical correlation and redundancy maximization produce identical results. Biometrika, 76, 618-621.
4. Cramer, E.M. & Nicewander, W.A. (1979). Some symmetric, invariant measures of multivariate association. Psychometrika, 44, 43-54.
5. Dawson-Saunders, B.K., & Tatsuoka, M.M. (1983). The effect of affine transformation on redundancy analysis. Psychometrka, 48, 299-302.
6. DeSarbo, W.S. (1981). Canonical/Redundancy factoring analysis. Psychometrika, 46, 307-329.
7. Fornell, C. (1979). External single-set component analysis of multiple criterion/multiple predictor variables. Multivariate Behavioral Research, 14, 323-338.
8. Gleason, T. (1976). On redundancy in canonical analysis. Psychological Bulletin, 83, 1004-1006.
9. Imhof, P. (1961). Computing the distribution of quadratic forms in normal variates. Biometrika, 48, 419-426.
10. Israëls, A.Z. (1984). Redundancy analysis for qualitative variables. Psychometrika, 49, 331-346.
11. Johansson, J.K. (1981). An extension of Wollenberg's redundancy analysis. Psychometrika, 46, 93-103.
12. Koertz, J., & Abrahamse, A.P.J. (1969). On the theory and application of the general linear model. Rotterdam, Netherlands: Rotterdam University Press.
13. Lazraq, A., & Cléroux, R. (1988a). étude comparative de différentes mesures de liaison entre deux vecteurs alatoires [Comparative study of several association measures between two random vectors]. Statistique et Analyse des donnes, 13, 15-38.
14. Lazraq, A., & Cléroux, R. (1988b). Un algorithme pas à pas de sélection de variables en régression linéaire multivariée [A stepwise variable selection algorithm in multivariate linear regression]. Statistique et Analyse des donnes, 13, 39-58.
15. Mardia, K.V., Kent, J.T., & Bibby, J.M. (1979). Multivariate analysis. London, U.K.: Academic Press.
16. Muller, K.E. (1981). Relationships between redundancy analysis, canonical correlation and multivariate regression. Psychometrika, 46, 139-142.
17. Rao, C.R. (1964). The use and interpretation of principal component analysis in applied research. Sankhya, 26, 329-358.
18. Rao, C.R. (1973). Linear statistical inference and its applications (2nd ed.). New York, NY: John Wiley & Sons.
19. Stewart, D., & Love, W. (1968). A general canonical correlation index. Psychological Bulletin, 70, 160-163.
20. Tyler, D.E. (1982). On the optimality of the simultaneous redundancy transformations. Psychometrika, 47, 77-86.
21. van den Wollenberg, A.L. (1977). Redundancy analysis, an alternative for canonical correlation analysis. Psychometrika, 42, 207-219.
22. van de Geer, J.P. (1984). Linear relationships among K sets of variables. Psychometrika, 49, 79-94.