. 2020 Apr 8;27(4):599–612. doi: 10.1089/cmb.2019.0325

Table 4.

Simulations with Infinitesimal Model and Family Structure

Model	mean( $β_{g 0}$ )	se( $β_{g 0}$ )	mean( $χ_{N u l l}^{2}$ )	se( $χ_{N u l l}^{2}$ )	mean( $β_{g}$ )	se( $β_{g}$ )	mean( $χ^{2}$ )	se( $χ^{2}$ )
LR	−1.30E-03	1.60E-03	1.52	0.07	0.252	1.60E-03	48.81	0.77
LR + 4 PCs	−5.00E-04	1.50E-03	1.49	0.06	0.253	1.60E-03	48.93	0.75
LR + cvBLUP	4.00E-04	1.00E-03	0.81	0.03	0.183	9.00E-04	36.20	0.52
LMM	5.00E-04	1.40E-03	1.10	0.05	0.251	1.30E-03	48.57	0.68
BOLT-INF	5.00E-04	9.00E-04	0.77	0.03	0.166	9.00E-04	33.65	0.46
BOLT-LMM	5.00E-04	9.00E-04	0.84	0.04	0.166	9.00E-04	36.24	0.51
LR + true genetic effect	5.00E-04	1.00E-03	1.21	0.05	0.252	1.00E-03	98.24	1.31

Mean and standard error for effect estimates and test statistics of association tests at 1000 null SNPs with true $β_{g 0} = 0 : {\hat{β}}_{0}$ and $χ_{N u l l}^{2}$ ; and at 1000 causal SNPs with an alternative hypothesis of true $β_{g} = 0.25 : {\hat{β}}_{g}$ and $χ^{2}$ .