Principal component and factor analytic models in international sire evaluation

Table 2 Characteristics for the analyses fitting from seven to 12 factors

	Fit 7	Fit 8	Fit 9	Fit 10	Fit 11	Fit 12
-1/2 AIC^a	-11	-17	0	-1	-8	-12
Log L^b	-79	-67	-33	-18	-10	0
No of parameters	180	198	215	231	246	260
Sum of eigenvalues^c	1541	1585	1602	1608	1619	1631
E1^d	85.9	83.1	82.6	82.3	82.0	81.3
E2	4.7	4.9	4.8	4.7	4.3	4.4
E3	3.4	4.5	3.8	3.8	3.9	3.8
E4	2.4	2.6	2.9	2.9	2.7	2.8
E5	1.5	1.7	1.9	1.9	1.9	1.9
E6	1.2	1.4	1.5	1.5	1.7	1.6
E7	0.9	1.1	1.1	1.1	1.1	1.2
E8		0.7	0.8	0.9	0.8	0.9
E9			0.7	0.7	0.7	0.7
E10				0.4	0.6	0.6
E11					0.3	0.4
E12						0.3
r_g, min^e	0.16	0.05	0.13	0.12	0.07	0.06
r_g, max^e	0.93	0.94	0.94	0.94	0.94	0.94
r_g, mean^e	0.69	0.69	0.69	0.69	0.69	0.68
${\sqrt{Δ r}}^{f}$	0.039	0.038	0.023	0.022	0.019	0.017

^a Akaike's information criterion, expressed as deviation from highest value
^b Maximum Log Likelihood, expressed as deviation from highest value
^c Derived from the variance due to common factors
^d Eigenvalues 1 to 12 of LL^T, expressed as proportion (in %) of total
^e Genetic correlations: minimum, maximum and mean values
^f Square root of the average squared deviation of the genetic correlations. The estimates obtained under the direct PC rank 19 model were used as the estimates of comparison.

ISSN: 1297-9686