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Table 5 Variance components estimated at generation \({\varvec{t}}\) = 3 using social (SGM) and classical genetic (CGM) models for group members composed at random or families

From: Statistical model and testing designs to increase response to selection with constrained inbreeding in genomic breeding programs for pigs affected by social genetic effects

Parameter Simulated values Estimatesa from SGM (SD) Estimatesb from CGM (SD) SGM-CGMc
Random group and \(r_{{u_{DS} }}\) = − 0.5
 DGE variance 1 0.975* 0.145 1.023 0.142 − 0.051***
 Covariance of DGE and SGE − 0.05 − 0.049 0.018    
 SGE variance 0.01 0.010 0.004    
 Litter variance 0.25 0.251 0.045 0.245 0.047 0.006
 Pen variance 0.25 0.249 0.050 0.287*** 0.035 − 0.037***
 Residual variance 2.50 2.500 0.094 2.543*** 0.086 − 0.044***
Random group and \(r_{{u_{DS} }}\) = 0
 DGE variance 1 1 0.141 0.961** 0.143 0.039*
 Covariance of DGE and SGE 0 − 0.001 0.021    
 SGE variance 0.01 0.010 0.005    
 Litter variance 0.25 0.245 0.044 0.256 0.043 − 0.011*
 Pen variance 0.25 0.250 0.058 0.350*** 0.038 − 0.1***
 Residual variance 2.50 2.492 0.089 2.516 0.099 − 0.024*
Random group an \(r_{{u_{DS} }}\) = 0.5
 DGE variance 1 0.980* 0.142 0.929*** 0.137 0.050**
 Covariance of DGE and SGE 0.05 0.048 0.021    
 SGE variance 0.01 0.009 0.005    
 Litter variance 0.25 0.247 0.045 0.248 0.045 0.000
 Pen variance 0.25 0.252 0.064 0.412*** 0.041 − 0.160***
 Residual variance 2.50 2.501 0.088 2.478** 0.083 0.023*
Family group and \(r_{{u_{DS} }}\) = 0
 DGE variance 1 0.987 0.154 0.989 0.154 − 0.002
 Covariance of DGE and SGE 0 0 0.016    
 SGE variance 0.01 0.010 0.003    
 Litter variance 0.25 0.250 0.054 0.251 0.052 − 0.001
 Pen variance 0.25 0.251 0.065 0.433*** 0.049 − 0.181***
 Residual variance 2.50 2.492 0.093 2.506 0.086 − 0.014
  1. aValue was the mean (standard deviation) over 400 replicates for variance components estimated from SGM
  2. bValue was the mean (standard deviation) over 200 replicates for variance components estimated from CGM. One sample t-test was carried out to compare the estimates from SGM and CGM with the simulated values
  3. cTwo sample t-test was carried out to compare the estimates from SGM with those from CGM
  4. P-value indicates the significance: *** < 0.0001, ** < 0.001, and * < 0.01
  5. The trait was simulated with an SGE variance of 0.01 and correlations of -0.5, 0 and 0.5 between SGE and DGE