On stability of compositional canonical variate vector components

Geological Society Special Publication

Volumn 264, Issue , 2006, Pages 59-66

  Reyment, Richard A ^a  

^a SWEDISH MUSEUM OF NATURAL HISTORY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

CANONICAL ANALYSIS; TRANSFORM; VECTOR;

EID: 33750999072     PISSN: 03058719     EISSN: None     Source Type: Book Series    
DOI: 10.1144/GSL.SP.2006.264.01.05     Document Type: Article

References (20)

1. Aitchison, J. 1983. Principal component analysis of compositional data. Biometrika, 70, 57-65.
2. Aitchison, J. 1986. The statistical analysis of compositional data. Chapman & Hall, London.
3. Aitchison, J. 1997. The one-hour course in compositional data analysis or compositional data analysis is easy. In: Pawlowsky-Glahn, V. (ed.) Proceedings of the Mathematical Geology third Annual Conference, Barcelona (September, 1997), 3-35. Vera.
4. Campbell, N. A. 1979. Canonical variate analysis: some practical aspects. PhD thesis, University of London.
5. Campbell, N. A. 1980a. Shrunken estimators in discriminant and canonical variate analysis. Applied Statistics, 29, 5-14.
6. Campbell, N. A. 1980b. Robust procedures in multivariate analysis. 1: robust covariance estimation. Applied Statistics, 29, 231-237.
7. Campbell, N. A. & Atchley, W. R. 1981. The geometry of canonical variate analysis. Systematic Zoology, 30, 268-280.
8. Campbell, N. A. & Furby, S. L. 1994. Variable selection along canonical vectors. Australian Journal of Statistics, 36, 177-183.
9. Campbell, N. A. & Reyment, R. A. 1978. Discriminant analysis of a Cretaceous foraminifer using shrunken estimators. Cretaceous Research, 1, 207-211.
10. Egozcue, J. J., Pawlowsky-Glahn, V., Mateu-Figueras, G. & Barceló-Vidal, C. 2003. Isometric log-ratio transformations for compositional data-analysis. Mathematical Geology, 35, 279-300.
11. Endo, K., Walton, D., Reyment, R. A. & Curry, G. B. 1995. Fossil intra-crystalline biomolecules of brachiopod shells: diagenesis and preserved geo-biological information. Organic Geochemistry, 23, 661-673.
12. Goldstein, M. & Smith, A. F. M. 1974. Ridge type estimators for regression analysis. Journal of the Royal Statistical Society, B36, 284-291.
13. Gui, Q. 1999. Generalized shrunken-type robust estimation. Journal of Surveying Engineering, 125, 177-184.
14. Kaminskas, D. & Malmgren, B. A. 2003. Comparison of pattern-recognition techniques for classification of Silurian sedimentary rocks from Lithuania based on geochemical data. Norwegian Journal of Geology, 84, 117-124.
15. Paskevicius, J. 1997. Geology of the Baltic Republics. Vilnius University and The Geological Survey of Lithuania.
16. Reyment, R. A. 1991. Multidimensional palaeobiology. Pergamon Press, Oxford (Appendix by L. F. Marcus).
17. Reyment, R. A. & Savazzi, E. 1999. Aspects of multivariate statistical analysis in geology. Elsevier, Amsterdam.
18. Reyment, R. A., Blackith, R. E. & Campbell, N. A. 1984. Multivariate morphometrics (2nd edn). Academic Press, London.
19. Seber, G. A. F. 1984. Multivariate observations. Wiley and Sons, New York.
20. Weihs, C. 1995. Canonical discriminant analysis: comparison of resampling methods and convex bull approximations. In: Krzanowski, W. J. (ed.) Recent advances in descriptive multivariate analysis. Oxford Science Publishing, Oxford, 35-50.