An example

This data is from a 2-allelic esterase polymorphism in our old friend Zoarces viviparus, the eelpout. The observations are in roman type in the table below. The numbers in italics are those expected if hypotheses $H_1$-$H_6$ are accepted.

Mother	$A_{1}A_{1}$	$A_{1}A_{2}$	$A_{2}A_{2}$	$\sum$	``Sterile'' Females	Males
	41	70	--	111	8	54
$A_{1}A_{1}$	39.0	67.0	--	106.0	9.3	58.4
	65	173	119	357	32	200
$A_{1}A_{2}$	67.0	181.9	114.9	363.8	32.1	200.5
	--	127	187	314	29	177
$A_{2}A_{2}$	--	114.9	197.3	312.2	27.6	172.1
	106	370	306	782	69	431
Sum	106.0	363.8	312.2	--	--	--

The results of the series of hypothesis tests is as follows:

Hypothesis	Degrees of freedom	$\chi^2$	$P$	50% power point
$H_1$	1	0.34	$>$0.50	0.05
$H_2$	2	1.37	$>$0.50	$\leq$ 0.09
$H_3$	1	0.98	$>$0.30	$\leq$ 0.05
$H_4$	2	0.37	$>$0.50	$\leq$ 0.10
$H_5$	2	0.22	$>$0.80	$\leq$ 0.05
$H_6$	1	0.09	$>$0.70	0.03

We conclude from this analysis that there is no evidence of selection on the genetic variation at the esterase locus in Zoarces viviparus and that there is no evidence of non-random mating with respect to genotype at this locus. The power calculations increase our confidence that if there is selection happening, the differences among genotypes are on the order of just a few percent.