Kineziologija, Vol. 16. No. 1., 1984.
Izvorni znanstveni članak
The Algorithm for Discriminative Anlysis in Mahalanobis' Space
Ksenija Bosnar
; Institut za kineziologiju Fakulteta za fizičku kulturu Sveučilišta u Zagrebu
Konstantin Momirović
; Institut za kineziologiju Fakulteta za fizičku kulturu Sveučilišta u Zagrebu
Franjo Prot
; Institut za kineziologiju Fakulteta za fizičku kulturu Sveučilišta u Zagrebu
Sažetak
The algorithm was proposed and the program was written for the canonic discriminative analysis of a group of variables with non-singular matrix of co-variance, transformed into the Mahalanobis' form.
The algorithm was proposed and the program for standard algorithms for discriminative analysis in that it determines the discriminative coefficients and discriminative factors in both the metrics of standardized and in the metrics of variables transformed into the Mahalanobis' form: in that it rotates the significant discriminative factors into a position which maximizes the normalized quantimax criterion in which the number of retained factors is determined according to the informational contribution of factors to the explanation of the entire inter-group variance; in that it determines the group centroids for both the unrotated and the rotated discriminative variables in the co-oridnate systems with the starting point in the centroid of the entire sample; in that is statistically cheks the significance of discriminative functions retained by the informational criterion by means of the X2 test (Rao, 1951); in that it cheks the results of the X2 test by means of the single-factor, univariant analysis of variance for each retained rotated and unrotated discriminative variable.
Ključne riječi
discriminative analysis; Mahalanobis, space
Hrčak ID:
250060
URI
Datum izdavanja:
1.10.1984.
Posjeta: 949 *