Study of the optimum haplotype length to build genomic relationship matrices

Table 4 Minimum, maximum, mean and standard deviation of G and H _1,, and the correlation of the elements of G with the elements of H _1

	Min	Max	Mean	SD	\({\text{r}}_{\text{GU}}\)	\({\text{r}}_{\text{GH}}\)	\({\text{r}}_{\text{GD}}\)
\({\mathbf{G}}\)
Off-diagonal	−0.01	0.61	0.00	0.05	1	1	1
Diagonal	0.89	1.34	1.02	0.06	1	1	1
\({\mathbf{H}}_{1,1}\)
Off-diagonal	1.56	1.75	1.63	0.02	0.40	0.27	−0.34
Diagonal	1.77	1.88	1.82	0.01	0.40	0.27	−0.34
\({\mathbf{H}}_{1,8}\)
Off-diagonal	0.47	1.02	0.60	0.04	0.56	0.47	−0.09
Diagonal	1.23	1.51	1.31	0.03	0.56	0.47	−0.09
\({\mathbf{H}}_{1,17}\)
Off-diagonal	0.16	0.73	0.26	0.04	0.68	0.63	0.12
Diagonal	1.08	1.36	1.14	0.03	0.68	0.63	0.12
\({\mathbf{H}}_{1,100}\)
Off-diagonal	0.00	0.44	0.03	0.03	0.71	0.73	0.30
Diagonal	1.00	1.19	1.02	0.02	0.71	0.73	0.30

\({\text{r}}_{\text{GU}}\): correlation between the unrelated individuals (elements of \({\mathbf{G}}\) and \({\mathbf{H}}_{1, *}\)); \({\text{r}}_{\text{GH}}\): correlation between the half-sibs individuals (elements of \({\mathbf{G}}\) and \({\mathbf{H}}_{1, *}\)); \({\text{r}}_{\text{GD}}\): correlation between the diagonal elements of \({\mathbf{G}}\) and \({\mathbf{H}}_{1, *}\)

ISSN: 1297-9686