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Table 2 The effect of the order of country addition on the estimates of the bottom-up PC approach for protein yield.

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

   Differences
Countriesa Genetic correlations, direct PC 9 Direct PC 9 vs. Bottom-up PC rank 8 Bottom-up PC order1b vs. order2c
1 2    rank 8 rank 7 rank 6
FRA USA 0.87 0 0 0 0.04
FRA CZE 0.58 0 0 0 0.03
FRA LVA 0.24 -0.02 0 0 0.24
FRA POL 0.65 0 0 0 -0.02
FRA NZL 0.68 0 0 0 -0.07
FRA AUS 0.76 0 0 0 -0.01
FRA SVN 0.51 -0.01 0.02 -0.14 -0.17
FRA IRL 0.78 0 0 0.01 0
USA CZE 0.59 0 0 0 0
USA LVA 0.31 -0.01 0.01 0.02 -0.40
USA POL 0.56 0 0 0 0.02
USA NZL 0.54 0 0 0 -0.02
USA AUS 0.65 0 0 0 0.05
USA SVN 0.36 0.02 -0.03 -0.12 -0.08
USA IRL 0.63 0 0 0.02 0.08
CZE LVA 0.09 -0.04 0 0.03 -0.02
CZE POL 0.55 0 0 0 -0.05
CZE NZL 0.47 0 0.01 0.01 0
CZE AUS 0.53 0 0 0 -0.06
CZE SVN 0.44 0 0.04 0 -0.04
CZE IRL 0.51 0.01 0 -0.02 -0.04
LVA POL 0.62 -0.01 0 -0.01 -0.28
LVA NZL 0.15 -0.05 0.02 -0.01 0.13
LVA AUS 0.51 -0.03 0.01 -0.01 -0.08
LVA SVN 0.21 0.07 -0.01 -0.12 0.16
LVA IRL 0.33 0.02 0.02 -0.02 0.08
POL NZL 0.49 0 0 0 0.06
POL AUS 0.70 0 0 0 0.07
POL SVN 0.57 0.01 0 -0.04 0.06
POL IRL 0.68 0 0 0 0.04
NZL AUS 0.80 0 0 0 0.01
NZL SVN 0.34 -0.01 0.03 -0.14 -0.33
NZL IRL 0.81 -0.01 0 0.01 -0.05
AUS SVN 0.42 0.01 0.01 -0.14 -0.07
AUS IRL 0.84 0 0 0.01 0.07
SVN IRL 0.74 -0.03 0 -0.12 -0.13
Mean 0.54 -0.002 0.003 -0.021 -0.022
Mean_absd 0.54 0.010 0.006 0.028 0.085
Max 0.87 0.07 0.04 0.14 0.40
  1. For comparison, the estimates of the genetic correlations from the direct PC full rank model and the differences in the estimates of the genetic correlations from the direct PC full rank and the bottom-up PC rank 8 models are also presented. The mean and maximum (max) values of genetic correlations from the direct PC full fit and mean and max differences from above comparisons are shown at the bottom of the table.
  2. a Keys of the country codes are shown in Table 1
  3. b Order 1: FRA, USA, CZE, LVA, POL, NZL, AUS, SVN, IRL
  4. c Order 2 is reverse to order 1
  5. d Mean of the absolute differences