Croatica Chemica Acta, Vol. 69 No. 3, 1996.
Izvorni znanstveni članak
A Correlation Rank Determinator for Principal Components
Damir Pavković
; Laboratory of Physical Chemistry, Faculty of Science, University of Zagreb, 10000 Zagreb, P.O. Box 163, Croatia
Vladislav Tomišić
; Laboratory of Physical Chemistry, Faculty of Science, University of Zagreb, 10000 Zagreb, P.O. Box 163, Croatia
Revik Nuss
; Laboratory of Physical Chemistry, Faculty of Science, University of Zagreb, 10000 Zagreb, P.O. Box 163, Croatia
Vladimir Simeon
; Laboratory of Physical Chemistry, Faculty of Science, University of Zagreb, 10000 Zagreb, P.O. Box 163, Croatia
Sažetak
A new statistic, defined as Ro(k) = s(k)/ -.Jsr+ ... + sE {s(k) denoting
the k-th singular value of data matrix}, is proposed for assessing
the significance of individual components in principal-components
analysis (PCA). Ro was shown to be the correlation coefficient of
the prediction from the k-th principal component to the original
data. The common significance test on Ro was applied as a semiempirical determinator of the effective rank (»pseudorank«) of data matrices. By examining the performance of this simple test on Ro on a number of data matrices ofknown effective ranks (UVNis and
Raman spectra of aqueous solutions of various inorganic salts), it
was shown to be a serious competitor to the rank determinators
commonly used in PCA.
Ključne riječi
Hrčak ID:
177137
URI
Datum izdavanja:
1.11.1996.
Posjeta: 696 *