BMC Genomics

Table 5 Descriptive statistics for the estimated true heritability for all the datasets out of a possible total of 1000 for which an estimate of heritability was available for all the five methods in each scenario

From: Evaluation of approaches for estimating the accuracy of genomic prediction in plant breeding

			Methods
		M0	*M1(15)	M2(16)	M3(17)	M4(21)	M5(24)
Scenario	^†Statistic	$H_{true}^{2}$	${\hat{H}}_{m 1}^{2}$	${\hat{H}}_{m 2}^{2}$	${\hat{H}}_{m 3}^{2}$	${\hat{H}}_{m 4}^{2}$	${\hat{H}}_{m 5}^{2}$
1	${\hat{H}}^{2} = 0$	0	0	0	0	0	0
	MIN	0.56	0.09	0.16	0.16	0.16	0.50
	MAX	0.82	0.50	0.66	0.66	0.55	0.80
	MEAN	0.71	0.32	0.48	0.48	0.34	0.67
	STD	0.04	0.06	0.08	0.08	0.06	0.05
	MSD	0.000	0.160	0.061	0.061	0.143	0.004
2	${\hat{H}}^{2} = 0$	0	152	152	0	0	0
	MIN	0.09	0.00	0.00	0.00	0.00	0.00
	MAX	0.73	0.30	0.46	0.46	0.28	0.63
	MEAN	0.42	0.09	0.15	0.18	0.08	0.33
	STD	0.11	0.07	0.11	0.10	0.05	0.11
	^†MSD	0.000	0.128	0.094	0.083	0.128	0.025
3	${\hat{H}}^{2} = 0$	0	0	0	0	0	0
	MIN	0.66	0.35	0.33	0.34	0.28	0.64
	MAX	0.79	0.62	0.61	0.61	0.53	0.78
	MEAN	0.73	0.51	0.49	0.50	0.40	0.72
	STD	0.02	0.04	0.04	0.04	0.03	0.02
	MSD	0.000	0.051	0.057	0.055	0.110	0.001
4	${\hat{H}}^{2} = 0$	0	0	0	0	0	0
	MIN	0.36	0.00	0.00	-0.55	0.02	0.23
	MAX	0.63	0.32	0.31	0.31	0.15	0.52
	MEAN	0.52	0.14	0.13	0.13	0.07	0.39
	STD	0.04	0.07	0.06	0.07	0.02	0.05
	MSD	0.000	0.151	0.155	0.152	0.202	0.020

Methods 1 to 4 but not 5 use cross-validation. M0 is the square of the true correlation between the predicted and the true simulated breeding values used as the benchmark for assessing the estimated heritability.
^†MSD=Mean squared deviation and H² = 0 is the number of datasets for which the estimated heritability was zero. *The number of the equation used in the text is in parenthesis.

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