An example from Isotoma petraea

To make the differences in implementation and calculation clear, I'm going to use data from 12 populations of Isotoma petraea in southwestern Australia surveyed for genotype at GOT-1 [2] as an example throughout these discussions (Table ).

Table 1: Genotype counts at the $GOT-1$ locus in Isotoma petraea (from [2]).

	Genotype
Population	$A_{1}A_{1}$	$A_{1}A_{2}$	$A_{2}A_{2}$	$\hat p$
Yackeyackine Soak	29	0	0	1.0000
Gnarlbine Rock	14	3	3	0.7750
Boorabbin	15	2	3	0.8000
Bullabulling	9	0	0	1.0000
Mt. Caudan	9	0	0	1.0000
Victoria Rock	23	5	2	0.8500
Yellowdine	23	3	4	0.8167
Wargangering	29	3	1	0.9242
Wagga Rock	5	0	0	1.0000
``Iron Knob Major''	1	0	0	1.0000
Rainy Rocks	0	1	0	0.5000
``Rainy Rocks Major''	1	0	0	1.0000

Let's ignore the sampling problem for a moment and calculate the $F$-statistics as if we had observed the population allele frequencies without error. They'll serve as our baseline for comparison.

$$\begin{eqnarray*} \bar p &=& 0.8888 \\ \hbox{Var}(p) &=& 0.02118 \\ F_{st} &=&... ...st}} \\ &=& \frac{0.3221 - 0.2143}{1 - 0.2143} \\ &=& 0.1372 \end{eqnarray*}$$