TABLE 2

Empirical (O), estimated (E), and predicted (P) standard errors of estimated genetic correlation coefficients

Least squaresREML
sanbEmbedded Image crg = rpdpLSeO(σ(rg))E(σ(rg))pPREMLfO(σ(rg))E(σ(rg))P(σ(rg))
10020.100.00362.625*200.897*2.84
0.100.50391.846*200.834*2.13
0.250.00532.124*310.823*1.14
0.250.50561.526*310.768*0.853
100.100.00850.8331.500740.6221.5120.509
0.100.50850.6321.144730.5501.2590.382
0.250.001000.2960.3001000.2960.3000.256
0.250.501000.2380.2361000.2380.2360.192
50020.100.00501.8129.411350.8387.8901.27
0.100.50531.2566.761350.7676.7830.950
0.250.00841.0383.821730.6283.5400.507
0.250.50850.7762.647730.5693.0860.380
100.100.001000.2590.2591000.2590.2590.227
0.100.501000.2070.2021000.2070.2020.170
0.250.001000.1160.1161000.1160.1160.114
0.250.501000.0880.0871000.0880.0870.086
100020.100.00611.4605.576460.7824.8230.895
0.100.50631.0384.060460.7094.1220.671
0.250.00950.6191.355900.4731.2550.359
0.250.50950.4990.997900.4181.0100.269
100.100.001000.1700.1680.001000.1700.168
0.100.501000.1300.1281000.1300.1280.120
0.250.001000.0820.0811000.0820.0810.081
0.250.501000.0610.0611000.0610.0610.061
  • Empirical and estimated standard errors of genetic correlations were estimated from 105 replicate populations. Predicted standard errors were calculated using equations from Tallis (1959) using the population values for the heritabilities and correlation coefficients. An asterisk (*) indicates that the estimate was >10.0.

  • a Number of sires.

  • b Number of progeny per sire.

  • c Heritability for both traits.

  • d Genetic and phenotypic correlation coefficient

  • e Proportion (×100) of replicates for which estimates of both sire variances were positive, and the geometric mean of the estimated heritabilities >0.01.

  • f Proportion (×100) of replicates for which the estimated genetic covariance matrix was positive-definite.