Naslov
A Correlation Rank Determinator for Principal Components

Autori
Pavković, Damir ; Tomišić, Vladislav ; Nuss, Revik ; Simeon, Vladimir

Izvornik
Croatica Chemica Acta (0011-1643) 69 (1996), 3; 1175-1188

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Effective rank; Factor analysis; Principal components analysis; Rank determinator

Sažetak
A new statistic - R_0(k) - is proposed for assessing the significance of individual components in principal-components analysis (PCA). R_0 is the correlation coefficient of the prediction from the k-th principal component to the original data. Common significance test on R_0 was applied as a semi-empirical determinator of the effective rank (pseudorank) of data matrices. By examining the performance of this simple test on R_0 on a number of data matrices of known effective ranks (UV/Vis 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.

Izvorni jezik
Engleski

Znanstvena područja
Kemija

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