. 2010 Jul 8;26(17):2190–2191. doi: 10.1093/bioinformatics/btq340

Table 1.

Formulae for meta-analysis

	Analytical strategy
	Sample size based	Inverse variance based
Inputs	N_i - sample size for study i	β_i- effect size estimate for study i
	P_i−P-value for study i
	Δ_i - direction of effect for study i	se_i - standard error for study i
Intermediate Statistics	Z_i = Φ⁻¹(P_i/2) * sign(Δ_i)	w_i = 1/SE_i²


Overall Z-Score		Z=β/SE
Overall P-value	P=2Φ(\|−Z\|)