REML     correlation regression     Distribution h2 ρe Bias ASV EMP Bias SAN EMP Normal 0.4 0.4 0.4 0.3 0.6 0.9 -0.0003 -0.0003 -0.0004 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001 0.0100 0.0045 0.0018 0.0061 0.0020 0.0006 0.0062 0.0020 0.0006   0.6 0.6 0.6 0.3 0.6 0.9 0.0003 0.0004 0.0005 0.0000 0.0000 0.0001 0.0001 0.0001 0.0001 0.0087 0.0037 0.0691 0.0058 0.0018 0.0014 0.0059 0.0019 0.001   0.8 0.8 0.8 0.3 0.6 0.9 0.0010 0.0011 0.0012 0.0004 0.0004 0.0004 0.0008 0.0009 0.0010 0.0075 0.0037 0.0018 0.0054 0.0018 0.0006 0.0056 0.0019 0.0006   0.4 0.4 0.4 0.3 0.6 0.9 -0.0175 -0.0166 -0.0127 0.0001 0.0001 0.0001 0.0016 0.0013 0.0016 -0.0066 -0.0273 -0.0066 0.0161 0.0057 0.0018 0.0342 0.0098 0.0039   0.6 0.6 0.6 0.3 0.6 0.9 0.0202 0.0185 0.0225 0.0001 0.0001 0.0001 0.0010 0.0012 0.0014 0.0106 -0.0123 0.0610 0.0158 0.0055 0.0042 0.0295 0.0112 0.0078   0.8 0.8 0.8 0.3 0.6 0.9 0.0482 0.0446 0.0638 0.0005 0.0005 0.0006 0.0111 0.0121 0.0112 -0.0447 -0.0234 0.0016 0.0159 0.0049 0.0017 0.0015 Gamma 0.4 0.4 0.4 0.3 0.6 0.9 0.2012 0.1977 0.1921 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 -0.0066 -0.0030 -0.0043 0.0076 0.0025 0.0007 0.0077 0.0031 0.0008   0.6 0.6 0.6 0.3 0.6 0.9 0.2026 0.1993 0.1948 0.0001 0.0001 0.0001 0.0003 0.0003 0.0003 -0.0067 -0.0070 0.0643 0.0071 0.0023 0.0018 0.0080 0.0028 0.0018   0.8 0.8 0.8 0.3 0.6 0.9 0.1015 0.1022 0.1007 0.0002 0.0002 0.0003 0.0007 0.0007 0.0009 -0.0068 -0.0069 -0.003 0.0068 0.0022 7 0.0007 0.0087 0.0025 0.0008 SAN: Sandwich variance estimate; Others are same with the previous table.

Table 4: Simulation results for heritability estimation with non-zero environmental correlation parameter: Multivariate normal, T and Gamma distribution.