Table 1

Post hoc power calculations for m independent experiments with Bonferroni correction k

Figure	Panel	Data structure	Type of test	Power
2	C	Normality not assumed	Mann-Whitney	55.9
	D	Normality not assumed	Mann-Whitney	53.2
	F	Normality not assumed	Mann-Whitney	61.7
	G	Normality not assumed	Mann-Whitney	10.7
	H	Normality not assumed	Mann-Whitney	12.3
	I	Normality not assumed	Mann-Whitney	2.6
	J	Normality not assumed	Mann-Whitney	12.6
3	B	Normality not assumed	Mann-Whitney	21.5
	C	Normality not assumed	Mann-Whitney	63.3
	D	Normality not assumed	Mann-Whitney	36.4
4	B	Normality not assumed	Mann-Whitney	100
	D	Normality not assumed	Mann-Whitney	100100
7	A	Normality not assumed	Mann-Whitney	37.1
	B	Normality not assumed	Mann-Whitney	90
	J	Normality not assumed	Mann-Whitney	100100
	K	Normality not assumed	Mann-Whitney	99.9100

From Fisher's χ² test for combined probabilities, we have that χ² (df = 2m) ∼ –2ln(p1p2…pm), where pi is the p value for the ith independent experiment. The post hoc expected value of χ² is just the df + the noncentrality parameter (λ). Thus, for three independent experiments, say λ is given by –2ln(p1p2p3) – 6. The power can then be obtained directly using G*Power 3 software with α = 0.05/k.