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Table 3 Selection of the appropriate rank for protein yield under the direct PC approach.

From: Principal component approach in variance component estimation for international sire evaluation

  Rank 15 Rank 17 Rank 19 Rank 20 Full fit
-68 -19 0 -4 -19
log Lb -105 -36 -2 0 0
0.029 0.017 0.004 0 0.001
No of parameters 271 290 305 311 325
Sum of eigenvalues 1696 1695 1695 1695 1695
E1d 1326 1330 1331 1331 1331
E2 78.9 76.7 76.1 76.1 76.0
E3 69.8 65.0 60.3 60.1 60.1
E4 43.6 44.5 47.4 47.2 47.1
E5 36.6 35.2 33.2 33.0 33.1
E6 30.9 30.4 28.8 28.6 28.6
E7 22.3 21.3 21.4 21.3 21.3
E8 19.7 17.8 17.2 17.3 17.2
E9 15.0 15.4 16.2 15.9 16.0
E10 12.9 12.3 12.3 12.3 12.3
E11 10.6 10.5 10.6 10.6 10.6
E12 9.8 9.9 8.8 8.5 8.5
E13 9.2 8.6 8.4 8.3 8.3
E14 6.3 6.5 6.5 6.7 6.7
E15 4.3 5.2 5.2 5.2 5.2
E16   3.9 4.2 4.1 4.1
E17   2.7 3.2 3.3 3.3
E18    2.8 2.8 2.8
E19    1.1 1.3 1.3
E20     1.1 1.2
E21      0.0
E22      0.0
E23      0.0
E24      0.0
E25      0.0
  1. a Akaike's information criterion, expressed as deviation from highest value
  2. b Maximum Log Likelihood, expressed as deviation from highest value
  3. c A square root of the average squared deviation of the estimated genetic correlations. The estimates obtained under the direct PC rank 20 model were used as the estimates of comparison
  4. d Eigenvalues 1,...,25 of the G matrix