Appendix 6—table 1. Unadjusted association between gSG6 IgG seropositivity log entomological inoculation rate (EIR).

Variable	log odds ratio (SE)	95% CI	p-Value	RE
Fixed part
log EIR	0.15 (0.04)	0.07–0.23	<0.001
Random part
${\psi }_1$ ‡				1.02
${\psi }_2$				2.15
${\psi }_3$				0.01
${\rho }_1$ §				0.16
${\rho }_2$ ¶				0.49
ℓ				–530.7
Model fit indices
Akaike’s information criterion				1071.3
Bayesian information criterion				1079.5

Entomological inoculation rate (EIR) association: log odds ratio and standard error (SE), 95% confidence interval (95% CI), p-value, random-effect components (RE): variances (ψ), conditional intraclass correlation coefficient (ICC) (ρ)* and model log likelihood (ℓ) from generalised linear multilevel modelling (mixed effects, logistic).^† This analysis is based upon n = 38 study-specific observations from eight studies.

^* ρ = $\frac{{\psi }_k+...+{\psi }_{nk}}{{\psi }_k+...+{\psi }_{nk}+{\pi }^2/3}$ , where ${\psi }_k$ through ${\psi }_{nk}$ are random-effect variance estimates pertaining to each of the respective variance components (see table notes ^‡–¶) from the generalised linear multilevel (mixed effects, logistic) modelling for a specific ICC estimate.

^† Generalised linear multilevel modelling (mixed effects, logistic) estimating the association between log transformed EIR and anti-gSG6 IgG seropositivity with random effects for country-specific and study-specific heterogeneity in gSG6 IgG seroprevalence and study-specific heterogeneity in effect of EIR.

^‡ ${\psi }_1$ , ${\psi }_2$, and ${\psi }_3$ represent variances of the random effects for country, study, and effect of EIR, respectively.

^§ ${\rho }_1$ represents the conditional ICC for salivary antibody observations from the same country but different study.

^¶ ${\rho }_2$ represents the conditional ICC for salivary antibody observations from the same country and study with the median EIR.