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Table 9 Expectation of the ratio of variances vs. the ratio of the variance expectations considering different reference population sizes and numbers of markers (ν 2 = 0.4, 50 simulations)

From: Approximated prediction of genomic selection accuracy when reference and candidate populations are related

n r

n M

\( {\text{E}}\left[ {{\text{v}}\left( {\hat{q}_{\text{c}} } \right)/{\text{v}}\left( {q_{\text{c}} } \right)} \right] \)

\( {\text{E}}\left[ {{\text{v}}\left( {\hat{q}_{\text{c}} } \right)} \right]/{\text{E}}\left[ {{\text{v}}\left( {q_{\text{c}} } \right)} \right] \)

500

1000

0.403

0.401

1000

1000

0.726

0.725

1500

1000

1.010

1.008

2000

1000

1.212

1.212

500

1500

0.270

0.269

1000

1500

0.535

0.534

1500

1500

0.753

0.753

2000

1500

0.944

0.944

500

2000

0.213

0.213

1000

2000

0.414

0.413

1500

2000

0.597

0.597

2000

2000

0.760

0.759

500

2500

0.175

0.175

1000

2500

0.349

0.348

1500

2500

0.515

0.514

2000

2500

0.670

0.669