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method = 1 / "G_VR1"

VanRaden Method 1: \(G = ZZ' / (2 \sum_j p_j(1 - p_j))\), with \(Z = M - 2p\).

method = 2 / "G_VR2"

VanRaden Method 2: \(G = ZDZ'\) with \(D\) diagonal, \(D_{jj} = 1/(m \cdot 2p_j(1-p_j))\); equivalently each column of \(Z\) scaled by \(\sqrt{2p_j(1-p_j)}\) and divided by \(m\).

method = 3 / "G_XX"

Uncentred \(G = MM'/m\). This is NOT one of VanRaden's three methods – it is the first method of the Montesinos chapter, which renumbers VanRaden's scheme. Named G_XX rather than G_VR* for that reason.

Usage

morie_grm_vanraden(markers, method = 1)

Arguments

markers

Numeric (n x m) genotype matrix coded 0/1/2. Must be a matrix or data frame: a bare vector is rejected rather than silently reshaped into an n x 1 matrix.

method

One of 1, 2, 3, "G_VR1", "G_VR2", "G_XX". Integer (2L) and double (2) forms are both accepted.

Value

Named list with estimate (G matrix), diag_mean, off_mean, p, n, m, method.

Details

VanRaden's own Method 3 regresses \(MM'\) on \(A\) and requires no allele frequencies; it is not implemented here, so there is deliberately no "G_VR3" alias.

References

VanRaden, P. M. (2008). Efficient methods to compute genomic predictions. J Dairy Sci 91(11):4414-4423, "Genomic Relationships and Inbreeding", p.4416. doi:10.3168/jds.2007-0980

Montesinos-Lopez et al., Multivariate Statistical Machine Learning Methods for Genomic Prediction, Sec. 2.4, pp.49-52 (secondary; renumbers the methods and contradicts its own worked example twice – see the morie fixture tests/fn/fixtures/gmatv.json).

Examples

set.seed(1)
morie_grm_vanraden(markers = matrix(sample(0:2, 200, TRUE), 50, 4))
#> $estimate
#>              [,1]         [,2]         [,3]         [,4]        [,5]
#>  [1,]  1.35543500 -1.015471167  0.421137231  0.380952381 -0.15149689
#>  [2,] -1.01547117  1.134418324 -0.442837050 -0.483021901 -0.01084991
#>  [3,]  0.42113723 -0.442837050  0.993771348 -0.553345389 -0.08117340
#>  [4,]  0.38095238 -0.483021901 -0.553345389  0.913401648 -0.12135825
#>  [5,] -0.15149689 -0.010849910 -0.081173398 -0.121358248  1.35543500
#>  [6,] -0.51316054  0.129797067 -0.442837050  0.521599357 -1.01547117
#>  [7,] -0.56339160  0.581876633 -0.995378742  0.471368294 -0.06108097
#>  [8,]  0.42113723 -0.442837050 -0.010849910  0.451275869 -0.58348403
#>  [9,] -0.03094233  0.109704641  0.541691782 -0.503114326 -0.53325296
#> [10,] -0.52320675  0.622061483 -0.452883263  0.009242516 -0.52320675
#> [11,] -0.96524010  0.682338758  0.109704641 -0.432790838 -0.96524010
#> [12,]  0.33072132 -0.030942335 -0.101265823 -0.141450673  1.33534258
#> [13,]  1.31525015 -1.055656018 -0.121358248  0.843078160  0.31062889
#> [14,]  0.42113723 -0.442837050  0.993771348 -0.553345389 -0.08117340
#> [15,] -0.08117340  0.561784207 -0.010849910 -0.553345389  0.42113723
#> [16,] -0.04098855  0.601969058  0.531645570 -1.015471167 -0.04098855
#> [17,] -0.60357645  0.541691782 -0.533252964 -0.071127185  0.90335544
#> [18,] -0.08117340  0.561784207 -0.010849910 -0.553345389  0.42113723
#> [19,] -0.08117340  0.561784207 -1.015471167  0.451275869 -0.08117340
#> [20,] -0.63371509  0.009242516 -0.061080972 -0.101265823  1.37552743
#> [21,] -0.47297569  0.169981917  0.099658429  0.059473578 -1.47759695
#> [22,] -0.55334539  0.089612216  1.023909986 -1.025517380  0.45127587
#> [23,]  0.39099859 -0.975286317  0.461322082  0.421137231 -0.11131204
#> [24,]  0.86317058 -0.503114326  0.431183444 -0.111312035  0.36085996
#> [25,]  0.38095238 -0.483021901  0.451275869 -0.091219610  0.38095238
#> [26,]  0.45127587  0.089612216  0.521599357 -0.523206751 -0.55334539
#> [27,] -0.55334539  0.089612216  1.023909986 -1.025517380  0.45127587
#> [28,]  0.43118344 -0.935101467  1.003817561 -0.040988547 -0.57343781
#> [29,]  0.42113723 -0.442837050 -0.010849910  0.451275869 -0.58348403
#> [30,] -0.02089612 -0.382559775  0.551737995  0.009242516 -1.02551738
#> [31,] -1.08579466  0.561784207 -0.513160538 -0.051034760  0.92344786
#> [32,] -0.59353024  0.049427366  0.481414507 -0.563391601  0.91340165
#> [33,] -0.55334539  0.089612216 -0.985332530  0.983725136 -0.55334539
#> [34,]  1.31525015 -1.055656018 -0.121358248  0.843078160  0.31062889
#> [35,] -0.52320675  0.622061483 -0.452883263  0.009242516 -0.52320675
#> [36,] -0.59353024  0.049427366 -0.523206751  0.441229656  0.41109102
#> [37,] -0.59353024  0.049427366 -0.523206751  0.441229656  0.41109102
#> [38,] -0.04098855  0.601969058  0.531645570 -1.015471167 -0.04098855
#> [39,]  0.45127587  0.089612216  0.521599357 -0.523206751 -0.55334539
#> [40,]  0.45127587  0.089612216 -0.483021901  0.481414507 -1.05565602
#> [41,] -0.56339160  0.581876633  0.009242516 -0.533252964  0.44122966
#> [42,]  0.91340165 -0.955193892  0.983725136 -0.061080972 -0.59353024
#> [43,] -0.52320675  0.622061483 -0.452883263  0.009242516 -0.52320675
#> [44,]  0.86317058 -0.503114326 -0.573437814  0.893309222 -0.14145067
#> [45,] -0.15149689 -0.010849910 -0.081173398 -0.121358248  1.35543500
#> [46,]  0.83303195 -1.035563593 -0.101265823  0.863170585  0.33072132
#> [47,]  0.41109102  0.049427366 -1.025517380  0.943540285 -0.59353024
#> [48,] -0.12135825  0.521599357 -0.553345389 -0.091219610  0.88326301
#> [49,] -0.04098855  0.601969058  0.531645570 -1.015471167 -0.04098855
#> [50,] -0.55334539  0.089612216 -0.985332530  0.983725136 -0.55334539
#>               [,6]         [,7]         [,8]         [,9]        [,10]
#>  [1,] -0.513160538 -0.563391601  0.421137231 -0.030942335 -0.523206751
#>  [2,]  0.129797067  0.581876633 -0.442837050  0.109704641  0.622061483
#>  [3,] -0.442837050 -0.995378742 -0.010849910  0.541691782 -0.452883263
#>  [4,]  0.521599357  0.471368294  0.451275869 -0.503114326  0.009242516
#>  [5,] -1.015471167 -0.061080972 -0.583484027 -0.533252964 -0.523206751
#>  [6,]  1.636728953  0.581876633  0.561784207  0.109704641  0.622061483
#>  [7,]  0.581876633  1.033956199  0.009242516 -0.442837050  0.571830420
#>  [8,]  0.561784207  0.009242516  0.491460719  0.039381153  0.049427366
#>  [9,]  0.109704641 -0.442837050  0.039381153  0.591922845  0.099658429
#> [10,]  0.622061483  0.571830420  0.049427366  0.099658429  0.612015270
#> [11,]  1.184649387  0.129797067  0.109704641  0.662246333  0.672292546
#> [12,] -1.537874221 -0.081173398 -0.603576452 -0.553345389 -0.543299176
#> [13,] -0.553345389 -0.101265823  0.380952381 -0.573437814 -0.563391601
#> [14,] -0.442837050 -0.995378742 -0.010849910  0.541691782 -0.452883263
#> [15,] -0.945147679  0.009242516 -0.513160538  0.039381153  0.049427366
#> [16,] -0.904962829 -0.452883263 -0.472975688  0.581876633  0.089612216
#> [17,] -0.462929476  0.491460719 -0.533252964 -0.483021901  0.029334941
#> [18,] -0.945147679  0.009242516 -0.513160538  0.039381153  0.049427366
#> [19,]  0.059473578  1.013863773 -0.010849910 -0.462929476  0.551737995
#> [20,] -0.493068113 -0.040988547 -0.563391601 -0.513160538 -0.503114326
#> [21,]  1.676913803  0.119750854  0.601969058  0.652200121  0.662246333
#> [22,] -0.412698413 -0.965240104 -0.483021901  0.571830420 -0.422744625
#> [23,]  0.531645570 -0.523206751  0.461322082  0.009242516 -0.483021901
#> [24,] -1.005424955 -0.553345389 -0.071127185 -0.020896122 -0.513160538
#> [25,] -0.483021901 -0.533252964 -0.051034760 -0.000803697 -0.493068113
#> [26,] -0.412698413 -0.462929476  0.019288728  0.571830420  0.079566004
#> [27,] -0.412698413 -0.965240104 -0.483021901  0.571830420 -0.422744625
#> [28,]  0.571830420 -0.985332530  0.501506932  0.551737995 -0.442837050
#> [29,]  0.561784207  0.009242516  0.491460719  0.039381153  0.049427366
#> [30,]  1.124372112 -0.432790838  0.551737995  0.601969058  0.109704641
#> [31,]  0.059473578  0.511553144 -0.513160538 -0.462929476  0.049427366
#> [32,] -0.452883263 -0.503114326 -0.523206751  0.029334941 -0.462929476
#> [33,]  1.596544103  1.044002411  0.521599357 -0.432790838  0.581876633
#> [34,] -0.553345389 -0.101265823  0.380952381 -0.573437814 -0.563391601
#> [35,]  0.622061483  0.571830420  0.049427366  0.099658429  0.612015270
#> [36,]  0.551737995  0.501506932 -0.020896122 -0.472975688  0.039381153
#> [37,]  0.551737995  0.501506932 -0.020896122 -0.472975688  0.039381153
#> [38,] -0.904962829 -0.452883263 -0.472975688  0.581876633  0.089612216
#> [39,] -0.412698413 -0.462929476  0.019288728  0.571830420  0.079566004
#> [40,]  0.591922845  0.541691782  0.521599357  0.069519791  0.581876633
#> [41,] -0.422744625  0.029334941 -0.493068113  0.059473578  0.069519791
#> [42,]  0.049427366 -1.005424955  0.481414507  0.531645570 -0.462929476
#> [43,]  0.622061483  0.571830420  0.049427366  0.099658429  0.612015270
#> [44,] -0.000803697  0.451275869  0.431183444 -0.523206751 -0.010849910
#> [45,] -1.015471167 -0.061080972 -0.583484027 -0.533252964 -0.523206751
#> [46,] -0.030942335 -0.081173398  0.401044806 -0.553345389 -0.543299176
#> [47,]  0.551737995  1.003817561  0.481414507 -0.472975688  0.541691782
#> [48,] -0.985332530  0.471368294 -0.553345389 -0.503114326  0.009242516
#> [49,] -0.904962829 -0.452883263 -0.472975688  0.581876633  0.089612216
#> [50,]  1.596544103  1.044002411  0.521599357 -0.432790838  0.581876633
#>             [,11]       [,12]       [,13]        [,14]        [,15]
#>  [1,] -0.96524010  0.33072132  1.31525015  0.421137231 -0.081173398
#>  [2,]  0.68233876 -0.03094233 -1.05565602 -0.442837050  0.561784207
#>  [3,]  0.10970464 -0.10126582 -0.12135825  0.993771348 -0.010849910
#>  [4,] -0.43279084 -0.14145067  0.84307816 -0.553345389 -0.553345389
#>  [5,] -0.96524010  1.33534258  0.31062889 -0.081173398  0.421137231
#>  [6,]  1.18464939 -1.53787422 -0.55334539 -0.442837050 -0.945147679
#>  [7,]  0.12979707 -0.08117340 -0.10126582 -0.995378742  0.009242516
#>  [8,]  0.10970464 -0.60357645  0.38095238 -0.010849910 -0.513160538
#>  [9,]  0.66224633 -0.55334539 -0.57343781  0.541691782  0.039381153
#> [10,]  0.67229255 -0.54329918 -0.56339160 -0.452883263  0.049427366
#> [11,]  1.73719108 -1.48764316 -1.50773558  0.109704641 -0.392605988
#> [12,] -1.48764316  1.81756078  0.79284710 -0.101265823  0.903355435
#> [13,] -1.50773558  0.79284710  1.77737593 -0.121358248 -0.121358248
#> [14,]  0.10970464 -0.10126582 -0.12135825  0.993771348 -0.010849910
#> [15,] -0.39260599  0.90335544 -0.12135825 -0.010849910  0.993771348
#> [16,]  0.14988949  0.44122966 -0.58348403  0.531645570  1.033956199
#> [17,] -0.41269841  0.88326301 -0.14145067 -0.533252964  0.471368294
#> [18,] -0.39260599  0.90335544 -0.12135825 -0.010849910  0.993771348
#> [19,] -0.39260599  0.40104481  0.38095238 -1.015471167  0.491460719
#> [20,] -0.44283705  0.85312437 -0.17158931 -0.061080972 -0.061080972
#> [21,]  1.72714487 -2.00000000 -1.01547117  0.099658429 -0.904962829
#> [22,]  0.64215391 -0.07112719 -1.09584087  1.023909986  0.019288728
#> [23,]  0.07956600 -0.63371509  0.35081374  0.461322082 -1.045609805
#> [24,] -0.95519389  0.84307816  0.82298573  0.431183444  0.431183444
#> [25,] -0.43279084  0.36085996  0.34076753  0.451275869 -0.051034760
#> [26,]  0.13984328 -0.07112719 -0.09121961  0.521599357  0.521599357
#> [27,]  0.64215391 -0.07112719 -1.09584087  1.023909986  0.019288728
#> [28,]  0.62206148 -1.09584087 -0.11131204  1.003817561 -1.005424955
#> [29,]  0.10970464 -0.60357645  0.38095238 -0.010849910 -0.513160538
#> [30,]  1.17460317 -1.54792043 -0.56339160  0.551737995 -0.955193892
#> [31,]  0.10970464  0.40104481 -0.62366888 -0.513160538 -0.010849910
#> [32,]  0.09965843  0.39099859 -0.63371509  0.481414507 -0.020896122
#> [33,]  0.64215391 -1.07574844 -0.09121961 -0.985332530 -0.985332530
#> [34,] -1.50773558  0.79284710  1.77737593 -0.121358248 -0.121358248
#> [35,]  0.67229255 -0.54329918 -0.56339160 -0.452883263  0.049427366
#> [36,]  0.09965843 -0.11131204 -0.13140446 -0.523206751 -0.523206751
#> [37,]  0.09965843 -0.11131204 -0.13140446 -0.523206751 -0.523206751
#> [38,]  0.14988949  0.44122966 -0.58348403  0.531645570  1.033956199
#> [39,]  0.13984328 -0.07112719 -0.09121961  0.521599357  0.521599357
#> [40,]  0.13984328 -0.57343781  0.41109102 -0.483021901  0.019288728
#> [41,]  0.12979707  0.42113723 -0.60357645  0.009242516  0.511553144
#> [42,]  0.09965843 -0.61362266  0.37090617  0.983725136 -0.523206751
#> [43,]  0.67229255 -0.54329918 -0.56339160 -0.452883263  0.049427366
#> [44,] -0.95519389  0.34076753  1.32529636 -0.573437814 -0.071127185
#> [45,] -0.96524010  1.33534258  0.31062889 -0.081173398  0.421137231
#> [46,] -0.98533253  0.31062889  1.29515773 -0.101265823 -0.603576452
#> [47,] -0.40265220 -0.11131204  0.87321680 -1.025517380 -0.020896122
#> [48,] -0.93510147  1.36548121  0.34076753 -0.553345389  0.953586498
#> [49,]  0.14988949  0.44122966 -0.58348403  0.531645570  1.033956199
#> [50,]  0.64215391 -1.07574844 -0.09121961 -0.985332530 -0.985332530
#>              [,16]        [,17]        [,18]        [,19]        [,20]
#>  [1,] -0.040988547 -0.603576452 -0.081173398 -0.081173398 -0.633715089
#>  [2,]  0.601969058  0.541691782  0.561784207  0.561784207  0.009242516
#>  [3,]  0.531645570 -0.533252964 -0.010849910 -1.015471167 -0.061080972
#>  [4,] -1.015471167 -0.071127185 -0.553345389  0.451275869 -0.101265823
#>  [5,] -0.040988547  0.903355435  0.421137231 -0.081173398  1.375527426
#>  [6,] -0.904962829 -0.462929476 -0.945147679  0.059473578 -0.493068113
#>  [7,] -0.452883263  0.491460719  0.009242516  1.013863773 -0.040988547
#>  [8,] -0.472975688 -0.533252964 -0.513160538 -0.010849910 -0.563391601
#>  [9,]  0.581876633 -0.483021901  0.039381153 -0.462929476 -0.513160538
#> [10,]  0.089612216  0.029334941  0.049427366  0.551737995 -0.503114326
#> [11,]  0.149889492 -0.412698413 -0.392605988 -0.392605988 -0.442837050
#> [12,]  0.441229656  0.883263010  0.903355435  0.401044806  0.853124372
#> [13,] -0.583484027 -0.141450673 -0.121358248  0.380952381 -0.171589311
#> [14,]  0.531645570 -0.533252964 -0.010849910 -1.015471167 -0.061080972
#> [15,]  1.033956199  0.471368294  0.993771348  0.491460719 -0.061080972
#> [16,]  1.576451678  0.009242516  1.033956199  0.029334941 -0.523206751
#> [17,]  0.009242516  0.953586498  0.471368294  0.471368294  0.923447860
#> [18,]  1.033956199  0.471368294  0.993771348  0.491460719 -0.061080972
#> [19,]  0.029334941  0.471368294  0.491460719  1.496081977 -0.563391601
#> [20,] -0.523206751  0.923447860 -0.061080972 -0.563391601  1.897930480
#> [21,] -0.362467350 -0.925055254 -0.904962829 -0.402652200 -0.955193892
#> [22,]  0.561784207 -0.000803697  0.019288728 -1.487643159  0.973678923
#> [23,] -1.005424955 -0.563391601 -1.045609805 -1.045609805  0.411091019
#> [24,]  0.471368294 -0.091219610  0.431183444 -0.071127185 -0.121358248
#> [25,] -0.010849910 -0.071127185 -0.051034760 -0.553345389  0.401044806
#> [26,]  1.064094836 -0.503114326  0.521599357  0.019288728 -1.035563593
#> [27,]  0.561784207 -0.000803697  0.019288728 -1.487643159  0.973678923
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#>             [,21]        [,22]        [,23]       [,24]        [,25]
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#>             [,31]       [,32]        [,33]       [,34]        [,35]
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#> [17,]  0.461322082  0.461322082  0.009242516 -0.503114326 -0.503114326
#> [18,] -0.523206751 -0.523206751  1.033956199  0.521599357  0.019288728
#> [19,] -0.020896122 -0.020896122  0.029334941  0.019288728  1.023909986
#> [20,]  0.933494073  0.933494073 -0.523206751 -1.035563593 -1.537874221
#> [21,]  0.089612216  0.089612216 -0.362467350  0.129797067  0.632107695
#> [22,]  0.009242516  0.009242516  0.561784207  0.049427366 -1.457504521
#> [23,]  0.451275869  0.451275869 -1.005424955 -0.513160538 -0.513160538
#> [24,] -0.583484027 -0.583484027  0.471368294  0.461322082 -0.040988547
#> [25,] -0.061080972 -0.061080972 -0.010849910 -0.020896122 -0.523206751
#> [26,] -0.995378742 -0.995378742  1.064094836  1.054048624  0.551737995
#> [27,]  0.009242516  0.009242516  0.561784207  0.049427366 -1.457504521
#> [28,] -0.010849910 -0.010849910 -0.462929476  0.029334941 -0.472975688
#> [29,] -0.020896122 -0.020896122 -0.472975688  0.019288728  0.521599357
#> [30,]  0.039381153  0.039381153 -0.412698413  0.079566004  0.079566004
#> [31,]  0.983725136  0.983725136 -0.472975688 -0.985332530 -0.985332530
#> [32,]  0.471368294  0.471368294  0.019288728 -0.493068113 -1.497689371
#> [33,]  1.013863773  1.013863773 -1.447458308 -0.955193892  0.551737995
#> [34,] -0.131404461 -0.131404461 -0.583484027 -0.091219610  0.411091019
#> [35,]  0.039381153  0.039381153  0.089612216  0.079566004  0.581876633
#> [36,]  0.973678923  0.973678923 -0.985332530 -0.995378742 -0.493068113
#> [37,]  0.973678923  0.973678923 -0.985332530 -0.995378742 -0.493068113
#> [38,] -0.985332530 -0.985332530  1.576451678  1.064094836  0.059473578
#> [39,] -0.995378742 -0.995378742  1.064094836  1.054048624  0.551737995
#> [40,] -0.493068113 -0.493068113  0.059473578  0.551737995  1.556359253
#> [41,] -0.000803697 -0.000803697  0.551737995  0.039381153 -0.462929476
#> [42,] -0.533252964 -0.533252964  0.019288728  0.511553144  0.009242516
#> [43,]  0.039381153  0.039381153  0.089612216  0.079566004  0.581876633
#> [44,] -0.081173398 -0.081173398 -0.533252964 -0.040988547  0.963632710
#> [45,]  0.411091019  0.411091019 -0.040988547 -0.553345389 -1.055656018
#> [46,]  0.390998594  0.390998594 -1.065702230 -0.573437814 -0.071127185
#> [47,] -0.030942335 -0.030942335 -0.483021901  0.009242516  1.516174402
#> [48,] -0.061080972 -0.061080972  0.491460719 -0.020896122 -0.020896122
#> [49,] -0.985332530 -0.985332530  1.576451678  1.064094836  0.059473578
#> [50,]  1.013863773  1.013863773 -1.447458308 -0.955193892  0.551737995
#>              [,41]        [,42]        [,43]        [,44]       [,45]
#>  [1,] -0.563391601  0.913401648 -0.523206751  0.863170585 -0.15149689
#>  [2,]  0.581876633 -0.955193892  0.622061483 -0.503114326 -0.01084991
#>  [3,]  0.009242516  0.983725136 -0.452883263 -0.573437814 -0.08117340
#>  [4,] -0.533252964 -0.061080972  0.009242516  0.893309222 -0.12135825
#>  [5,]  0.441229656 -0.593530239 -0.523206751 -0.141450673  1.35543500
#>  [6,] -0.422744625  0.049427366  0.622061483 -0.000803697 -1.01547117
#>  [7,]  0.029334941 -1.005424955  0.571830420  0.451275869 -0.06108097
#>  [8,] -0.493068113  0.481414507  0.049427366  0.431183444 -0.58348403
#>  [9,]  0.059473578  0.531645570  0.099658429 -0.523206751 -0.53325296
#> [10,]  0.069519791 -0.462929476  0.612015270 -0.010849910 -0.52320675
#> [11,]  0.129797067  0.099658429  0.672292546 -0.955193892 -0.96524010
#> [12,]  0.421137231 -0.613622664 -0.543299176  0.340767531  1.33534258
#> [13,] -0.603576452  0.370906168 -0.563391601  1.325296363  0.31062889
#> [14,]  0.009242516  0.983725136 -0.452883263 -0.573437814 -0.08117340
#> [15,]  0.511553144 -0.523206751  0.049427366 -0.071127185  0.42113723
#> [16,]  0.551737995  0.019288728  0.089612216 -0.533252964 -0.04098855
#> [17,]  0.491460719 -1.045609805  0.029334941 -0.091219610  0.90335544
#> [18,]  0.511553144 -0.523206751  0.049427366 -0.071127185  0.42113723
#> [19,]  0.009242516 -1.025517380  0.551737995  0.933494073 -0.08117340
#> [20,]  0.461322082 -0.573437814 -0.503114326 -0.623668877  1.37552743
#> [21,] -0.382559775  0.591922845  0.662246333 -0.462929476 -1.47759695
#> [22,]  0.541691782  0.511553144 -0.422744625 -1.547920434  0.45127587
#> [23,] -0.523206751  0.953586498 -0.483021901 -0.101265823 -0.11131204
#> [24,] -0.051034760  0.421137231 -0.513160538  0.370906168  0.36085996
#> [25,] -0.030942335  0.441229656 -0.493068113 -0.111312035  0.38095238
#> [26,]  0.039381153  0.511553144  0.079566004 -0.040988547 -0.55334539
#> [27,]  0.541691782  0.511553144 -0.422744625 -1.547920434  0.45127587
#> [28,] -0.483021901  1.496081977 -0.442837050 -0.563391601 -0.57343781
#> [29,] -0.493068113  0.481414507  0.049427366  0.431183444 -0.58348403
#> [30,] -0.432790838  1.044002411  0.109704641 -0.513160538 -1.02551738
#> [31,]  0.511553144 -1.025517380  0.049427366 -0.573437814  0.92344786
#> [32,]  0.501506932 -0.030942335 -0.462929476 -1.085794655  0.91340165
#> [33,] -0.462929476 -0.493068113  0.581876633  0.461322082 -0.55334539
#> [34,] -0.603576452  0.370906168 -0.563391601  1.325296363  0.31062889
#> [35,]  0.069519791 -0.462929476  0.612015270 -0.010849910 -0.52320675
#> [36,] -0.000803697 -0.533252964  0.039381153 -0.081173398  0.41109102
#> [37,] -0.000803697 -0.533252964  0.039381153 -0.081173398  0.41109102
#> [38,]  0.551737995  0.019288728  0.089612216 -0.533252964 -0.04098855
#> [39,]  0.039381153  0.511553144  0.079566004 -0.040988547 -0.55334539
#> [40,] -0.462929476  0.009242516  0.581876633  0.963632710 -1.05565602
#> [41,]  0.531645570 -0.503114326  0.069519791 -0.553345389  0.44122966
#> [42,] -0.503114326  1.475989552 -0.462929476 -0.081173398 -0.59353024
#> [43,]  0.069519791 -0.462929476  0.612015270 -0.010849910 -0.52320675
#> [44,] -0.553345389 -0.081173398 -0.010849910  1.375527426 -0.14145067
#> [45,]  0.441229656 -0.593530239 -0.523206751 -0.141450673  1.35543500
#> [46,] -0.583484027  0.390998594 -0.543299176  0.843078160  0.33072132
#> [47,] -0.503114326 -0.533252964  0.541691782  1.425758489 -0.59353024
#> [48,]  0.471368294 -1.065702230  0.009242516  0.390998594  0.88326301
#> [49,]  0.551737995  0.019288728  0.089612216 -0.533252964 -0.04098855
#> [50,] -0.462929476 -0.493068113  0.581876633  0.461322082 -0.55334539
#>             [,46]        [,47]        [,48]        [,49]        [,50]
#>  [1,]  0.83303195  0.411091019 -0.121358248 -0.040988547 -0.553345389
#>  [2,] -1.03556359  0.049427366  0.521599357  0.601969058  0.089612216
#>  [3,] -0.10126582 -1.025517380 -0.553345389  0.531645570 -0.985332530
#>  [4,]  0.86317058  0.943540285 -0.091219610 -1.015471167  0.983725136
#>  [5,]  0.33072132 -0.593530239  0.883263010 -0.040988547 -0.553345389
#>  [6,] -0.03094233  0.551737995 -0.985332530 -0.904962829  1.596544103
#>  [7,] -0.08117340  1.003817561  0.471368294 -0.452883263  1.044002411
#>  [8,]  0.40104481  0.481414507 -0.553345389 -0.472975688  0.521599357
#>  [9,] -0.55334539 -0.472975688 -0.503114326  0.581876633 -0.432790838
#> [10,] -0.54329918  0.541691782  0.009242516  0.089612216  0.581876633
#> [11,] -0.98533253 -0.402652200 -0.935101467  0.149889492  0.642153908
#> [12,]  0.31062889 -0.111312035  1.365481214  0.441229656 -1.075748443
#> [13,]  1.29515773  0.873216797  0.340767531 -0.583484027 -0.091219610
#> [14,] -0.10126582 -1.025517380 -0.553345389  0.531645570 -0.985332530
#> [15,] -0.60357645 -0.020896122  0.953586498  1.033956199 -0.985332530
#> [16,] -1.06570223 -0.483021901  0.491460719  1.576451678 -1.447458308
#> [17,] -0.12135825 -0.040988547  0.933494073  0.009242516 -0.000803697
#> [18,] -0.60357645 -0.020896122  0.953586498  1.033956199 -0.985332530
#> [19,] -0.10126582  1.486035765  0.953586498  0.029334941  0.521599357
#> [20,]  0.35081374 -1.075748443  0.401044806 -0.523206751 -0.030942335
#> [21,] -0.49306811  0.089612216 -1.447458308 -0.362467350  1.134418324
#> [22,] -0.57343781 -2.000000000 -0.523206751  0.561784207 -0.955193892
#> [23,]  0.87321680 -0.553345389 -1.085794655 -1.005424955  0.491460719
#> [24,]  0.34076753 -0.081173398  0.390998594  0.471368294 -1.045609805
#> [25,]  0.36085996 -0.563391601 -0.091219610 -0.010849910 -0.523206751
#> [26,] -0.57343781  0.009242516 -0.020896122  1.064094836 -0.955193892
#> [27,] -0.57343781 -2.000000000 -0.523206751  0.561784207 -0.955193892
#> [28,]  0.41109102 -1.015471167 -1.547920434 -0.462929476  0.029334941
#> [29,]  0.40104481  0.481414507 -0.553345389 -0.472975688  0.521599357
#> [30,] -0.04098855 -0.462929476 -1.497689371 -0.412698413  0.581876633
#> [31,] -0.10126582 -0.523206751  0.451275869 -0.472975688  0.521599357
#> [32,] -0.11131204 -1.537874221 -0.061080972  0.019288728 -0.493068113
#> [33,]  0.43118344  1.013863773 -0.523206751 -1.447458308  2.058669881
#> [34,]  1.29515773  0.873216797  0.340767531 -0.583484027 -0.091219610
#> [35,] -0.54329918  0.541691782  0.009242516  0.089612216  0.581876633
#> [36,]  0.39099859 -0.030942335 -0.061080972 -0.985332530  1.013863773
#> [37,]  0.39099859 -0.030942335 -0.061080972 -0.985332530  1.013863773
#> [38,] -1.06570223 -0.483021901  0.491460719  1.576451678 -1.447458308
#> [39,] -0.57343781  0.009242516 -0.020896122  1.064094836 -0.955193892
#> [40,] -0.07112719  1.516174402 -0.020896122  0.059473578  0.551737995
#> [41,] -0.58348403 -0.503114326  0.471368294  0.551737995 -0.462929476
#> [42,]  0.39099859 -0.533252964 -1.065702230  0.019288728 -0.493068113
#> [43,] -0.54329918  0.541691782  0.009242516  0.089612216  0.581876633
#> [44,]  0.84307816  1.425758489  0.390998594 -0.533252964  0.461322082
#> [45,]  0.33072132 -0.593530239  0.883263010 -0.040988547 -0.553345389
#> [46,]  1.31525015  0.390998594 -0.141450673 -1.065702230  0.431183444
#> [47,]  0.39099859  1.978300181  0.441229656 -0.483021901  1.013863773
#> [48,] -0.14145067  0.441229656  1.415712276  0.491460719 -0.523206751
#> [49,] -1.06570223 -0.483021901  0.491460719  1.576451678 -1.447458308
#> [50,]  0.43118344  1.013863773 -0.523206751 -1.447458308  2.058669881
#> 
#> $diag_mean
#> [1] 1.316858
#> 
#> $off_mean
#> [1] -0.02687464
#> 
#> $p
#> [1] 0.45 0.52 0.54 0.49
#> 
#> $n
#> [1] 50
#> 
#> $m
#> [1] 4
#> 
#> $method
#> [1] "VanRaden Method 1 / G_VR1 (ZZ'/2sum-pq)"
#> 
morie_grm_vanraden(matrix(sample(0:2, 200, TRUE), 50, 4), method = "G_VR2")
#> $estimate
#>              [,1]        [,2]        [,3]        [,4]        [,5]        [,6]
#>  [1,]  1.65112522 -0.30965909 -0.27400847  0.67073307  0.67073307 -1.21875000
#>  [2,] -0.30965909  1.73115724  0.76640770  0.71074907  0.71074907  0.82206633
#>  [3,] -0.27400847  0.76640770  0.80690875  0.74639970  0.24619962  0.86741780
#>  [4,]  0.67073307  0.71074907  0.74639970  1.69114123  0.69074107 -0.19834184
#>  [5,]  0.67073307  0.71074907  0.24619962  0.69074107  0.69074107 -0.19834184
#>  [6,] -1.21875000  0.82206633  0.86741780 -0.19834184 -0.19834184  1.93317744
#>  [7,]  0.31575869 -0.64462546 -0.10392433  0.33576669 -0.16443339 -0.54361536
#>  [8,] -0.13878676 -1.09917092 -0.55361936 -1.11917892 -0.61897884  0.01194019
#>  [9,] -0.21008801  0.83032815  0.36577870  0.81032015  0.31012007 -0.07876276
#> [10,]  0.25183824 -0.70854592 -0.16299436 -0.72855392 -0.22835384  0.40256519
#> [11,]  0.67073307  0.71074907  0.74639970  1.69114123  0.69074107 -0.19834184
#> [12,] -0.23835784 -0.19834184  0.84740980  0.78205032 -0.21834984  0.91276927
#> [13,]  0.35140931 -1.60937500 -0.56362337 -0.62898284 -0.62898284 -0.49826389
#> [14,] -0.17443739 -0.13442138  0.40627975  0.84597077 -0.15442939 -0.03341128
#> [15,]  0.77030414 -0.19008001 -0.65462947 -0.21008801  0.29011207 -1.09917092
#> [16,]  0.80595477 -1.15482955 -0.61412842 -0.17443739 -0.17443739 -1.05381944
#> [17,]  1.26050022 -0.70028409 -0.66463347  0.28010807  0.28010807 -1.60937500
#> [18,]  0.18053699  1.22095315  0.25620362  0.20054499  0.70074507  0.31186224
#> [19,] -1.11917892 -0.07876276  0.46678880 -0.09877076 -0.59897084  1.03234836
#> [20,] -1.15482955  0.88598678  0.42628775 -0.13442138 -0.13442138  0.98699688
#> [21,]  0.31575869 -0.64462546 -0.10392433  0.33576669 -0.16443339 -0.54361536
#> [22,] -0.62898284 -0.58896684 -0.54361536 -1.60937500 -0.60897484  0.52214427
#> [23,]  1.16092914  0.20054499 -0.26400447  0.18053699  0.68073707 -0.70854592
#> [24,]  1.16092914  0.20054499  0.23619561  1.18093715  0.68073707 -0.70854592
#> [25,] -0.03921569 -2.00000000 -0.95424837 -1.01960784 -1.01960784 -0.88888889
#> [26,] -0.27400847  0.76640770  0.80690875  0.74639970  0.24619962  0.86741780
#> [27,]  0.28010807  0.32012407 -0.64462546 -0.70028409  0.30011607 -0.58896684
#> [28,] -0.23835784 -0.19834184 -0.15299036 -1.21875000 -0.21834984  0.91276927
#> [29,] -0.23835784 -0.19834184 -0.15299036 -1.21875000 -0.21834984  0.91276927
#> [30,] -0.11051693 -0.07050093 -1.03525046 -1.09090909 -0.09050893 -0.97959184
#> [31,] -0.72855392  0.31186224  0.85741380  0.29185424 -0.20834584  1.42297336
#> [32,] -0.56506239 -0.52504638  0.01565475  0.45534577 -0.54505439 -0.42403628
#> [33,]  1.16092914  0.20054499 -0.26400447  0.18053699  0.68073707 -0.70854592
#> [34,]  0.80595477 -1.15482955 -0.61412842 -0.17443739 -0.17443739 -1.05381944
#> [35,] -0.17443739 -0.13442138  0.40627975  0.84597077 -0.15442939 -0.03341128
#> [36,] -1.15482955  0.88598678  0.42628775 -0.13442138 -0.13442138  0.98699688
#> [37,] -0.60071301  0.43970315 -0.02484630  0.41969515 -0.08050493 -0.46938776
#> [38,] -0.76420455  1.27661178  0.81691275  0.25620362  0.25620362  1.37762188
#> [39,] -1.09090909  0.94990724 -0.01484230 -0.07050093 -0.07050093  0.04081633
#> [40,]  0.67073307  0.71074907 -0.25400046 -0.30965909  0.69074107 -0.19834184
#> [41,]  1.16092914  0.20054499 -0.26400447  0.18053699  0.68073707 -0.70854592
#> [42,] -0.27400847  0.76640770  0.80690875  0.74639970  0.24619962  0.86741780
#> [43,] -0.07486631 -1.03525046 -0.49454933 -0.05485831 -0.55505839 -0.93424036
#> [44,]  0.67073307  0.71074907 -0.25400046 -0.30965909  0.69074107 -0.19834184
#> [45,] -1.01960784 -0.97959184 -0.93424036 -2.00000000 -0.99959984  0.13151927
#> [46,]  0.80595477 -1.15482955 -0.61412842 -0.17443739 -0.17443739 -1.05381944
#> [47,] -0.23835784 -0.19834184  0.34720972 -0.21834984 -0.21834984  0.91276927
#> [48,] -0.52941176 -1.48979592 -0.44404428 -0.50940376 -1.00960384 -0.37868481
#> [49,] -2.00000000  0.04081633  0.08616780 -0.97959184 -0.97959184  1.15192744
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#>               [,7]         [,8]         [,9]        [,10]       [,11]
#>  [1,]  0.315758690 -0.138786765 -0.210088012  0.251838235  0.67073307
#>  [2,] -0.644625464 -1.099170918  0.830328154 -0.708545918  0.71074907
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#>             [,12]       [,13]       [,14]       [,15]       [,16]       [,17]
#>  [1,] -0.23835784  0.35140931 -0.17443739  0.77030414  0.80595477  1.26050022
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#>             [,18]        [,19]       [,20]        [,21]       [,22]      [,23]
#>  [1,]  0.18053699 -1.119178922 -1.15482955  0.315758690 -0.62898284  1.1609291
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#>             [,24]       [,25]       [,26]       [,27]         [,28]
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#> [12,] -0.8888888889 -0.07342729  0.89276127  0.60170735  0.13151927 -1.09917092
#> [13,]  0.7859477124  1.05887459  0.48212827  1.27614379 -0.19444444 -0.96726920
#> [14,] -0.7500000000  0.02797738 -0.05341928  0.74059624  0.27040816 -0.49271574
#> [15,]  0.1850406829  0.46766841 -0.61897884 -0.32516340 -0.79535147  0.45202579
#> [16,]  0.2303921569  1.00836954 -0.07342729  0.72058824 -0.75000000 -0.51272374
#> [17,] -0.3251633987  0.95786449 -0.62898284  0.16503268 -1.30555556 -0.05817829
#> [18,] -0.4893957583 -0.66463347 -0.20834584 -1.49979992 -0.46938776  0.82032415
#> [19,]  0.3157596372 -0.41171364  0.51214027  0.80595572  1.33616780 -0.43705711
#> [20,]  0.2704081633 -0.95241477 -0.03341128 -0.23979592  1.29081633  0.52769242
#> [21,] -0.2598039216  0.51817346 -0.06342329  0.73059224 -0.23979592 -0.50271974
#> [22,]  1.8063558757  0.07848243  0.50213627  0.29575163  0.82596372  0.05313896
#> [23,] -0.5094037615  0.31575869 -0.22835384 -1.01960784 -1.48979592  0.30011607
#> [24,] -1.5098039216  0.31575869 -0.22835384 -0.51940776 -1.48979592 -0.20008401
#> [25,]  1.4803921569  1.21078431  0.09150327  1.97058824  0.50000000 -0.81535948
#> [26,] -0.9342403628 -0.61412842  0.34720972 -0.44404428  0.08616780 -0.13442138
#> [27,]  0.6952447646 -0.02252767 -0.60897484 -0.81535948 -0.28514739  0.96222987
#> [28,]  1.1119114312 -0.07342729  0.89276127 -0.39869281  0.13151927 -0.09877076
#> [29,]  1.1119114312 -0.07342729  0.89276127 -0.39869281  0.13151927 -0.09877076
#> [30,]  1.3896892090  0.12938206 -0.99959984 -0.12091503  0.40929705  1.11413960
#> [31,] -0.3786848073 -0.56362337  0.90276527  0.11151127  0.64172336 -0.58896684
#> [32,] -0.0555555556  0.17988711 -0.44404428  1.43504068  0.96485261 -0.34080602
#> [33,] -0.5094037615  0.31575869 -0.22835384 -1.01960784 -1.48979592  0.30011607
#> [34,]  0.2303921569  1.00836954 -0.07342729  0.72058824 -0.75000000 -0.51272374
#> [35,] -0.7500000000  0.02797738 -0.05341928  0.74059624  0.27040816 -0.49271574
#> [36,]  0.2704081633 -0.95241477 -0.03341128 -0.23979592  1.29081633  0.52769242
#> [37,] -0.1009070295 -0.36081402 -0.98959584  0.38928905  0.91950113  0.62394352
#> [38,] -0.4240362812 -1.10432449  0.35721372 -0.93424036  0.59637188  0.37578270
#> [39,]  0.4092970522 -0.85101010 -0.97959184 -0.10090703  1.42970522  1.13414760
#> [40,]  0.0008003201 -0.17443739 -0.21834984 -1.50980392 -0.97959184  0.81032015
#> [41,] -0.5094037615  0.31575869 -0.22835384 -1.01960784 -1.48979592  0.30011607
#> [42,] -0.9342403628 -0.61412842  0.34720972 -0.44404428  0.08616780 -0.13442138
#> [43,]  0.4346405229  0.67008318 -0.45404829  1.42503668  0.45464853 -0.35081002
#> [44,]  0.0008003201 -0.17443739 -0.21834984 -1.50980392 -0.97959184  0.81032015
#> [45,]  2.5008003201  0.23039216  0.11151127  0.99019608  1.52040816  0.20504869
#> [46,]  0.2303921569  1.00836954 -0.07342729  0.72058824 -0.75000000 -0.51272374
#> [47,]  0.1115112712 -0.07342729  0.89276127  0.10150727  0.13151927 -0.59897084
#> [48,]  0.9901960784  0.72058824  0.10150727  1.98059224  1.01020408 -0.80535548
#> [49,]  1.5204081633 -0.75000000  0.13151927  1.01020408  2.54081633  0.22505669
#> [50,]  0.2050486861 -0.51272374 -0.59897084 -0.80535548  0.22505669  0.97223387
#> 
#> $diag_mean
#> [1] 1.413076
#> 
#> $off_mean
#> [1] -0.02883829
#> 
#> $p
#> [1] 0.36 0.49 0.45 0.51
#> 
#> $n
#> [1] 50
#> 
#> $m
#> [1] 4
#> 
#> $method
#> [1] "VanRaden Method 2 / G_VR2 (ZDZ', per-locus scaled)"
#>