Estimation of prediction error variances via Monte Carlo sampling methods using different formulations of the prediction error variance

Table 2 Intercept, slope, R², and root mean squared error (RMSE) of regressions of exact prediction error variance on sampled prediction error variance approximated using one of 10 different formulations of the prediction error variance using 300 samples, for 18,855 non-inbred animals

	PEV_exact	PEV_GC1	PEV_GC2	PEV_GC3	PEV_FL	PEV_AF1	PEV_AF2	PEV_AF3	PEV_AF4	PEV_NF1	PEV_NF2
Intercept	0.00–0.33	0.09	0.01	0.01	0.09	0.05	0.02	0.01	0.02	0.01	0.01
	0.34–0.66	0.26	0.32	0.17	0.31	0.27	0.30	0.18	0.18	0.29	0.17
	0.67–1.00	0.09	0.29	0.06	0.05	0.09	0.06	0.02	0.02	0.04	0.04
Slope
	0.00–0.33	0.62	0.90	0.93	0.62	0.77	0.89	0.93	0.93	0.91	0.95
	0.34–0.66	0.57	0.43	0.71	0.47	0.54	0.48	0.68	0.69	0.49	0.71
	0.67–1.00	0.91	0.67	0.94	0.95	0.91	0.93	0.98	0.97	0.96	0.96
R ²	0.00–0.33	0.65	0.94	0.95	0.65	0.76	0.91	0.95	0.94	0.93	0.95
	0.34–0.66	0.59	0.43	0.68	0.49	0.54	0.48	0.67	0.69	0.49	0.70
	0.67–1.00	0.96	0.64	0.97	0.97	0.95	0.90	0.98	0.98	0.92	0.98
RMSE	0.00–0.33	0.05	0.02	0.02	0.05	0.04	0.03	0.02	0.02	0.02	0.02
	0.34–0.66	0.03	0.03	0.02	0.03	0.03	0.03	0.02	0.02	0.03	0.02
	0.67–1.00	0.02	0.06	0.02	0.02	0.02	0.03	0.01	0.02	0.03	0.01

ISSN: 1297-9686