# Biometrics by vz9r6i

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```									Optimal number of test sites and plants                                                  Dag Lindgren Last edit 2001-04-10
This worksheet heads at finding optimal number of sites and plants for breeding
Color codes are Input        Results Cost estimates              Q estimates
Entry & other units Example 1 Example 2 Litterature General about EXCEL sheets on Dag Lindgrens web sites
Acknowledgements

V(ge)=           5 Variance component for entry*site interaction
V(w)=           100 Variance component between untits within entry and site ("within")
Q=V(w)/V(ge)=             20
V (w )
A=             6 Marginal cost for an additional experimental site             Q =
K=sqrt(QA)=           11.0 Optimal number of plants per site and entry                             V ( ge )
Choose option!              0 Option: Number of plants given
K =           QA
M=           37 plants should be planted
nopt=M/sqrt(QA)=       3.4 Optimal number of test sites                                      M
V(g)=          10 Variance component for among entries           n opt =
ropt=       0.840 Test efficiency                                                  QA
n=number of sites

1                                                   C
n opt =
ropt =
1+
V ( ge ) + V ( w) / K                                (
A 1 + QA            )
V ( g ) * nopt
Dag Lindgren Last edit 2001-04-10

V (w )
Q =
V ( ge )
K =           QA

M
opt   =
QA

```
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