Table 2.

Summary of beta regression models.

	Full model	Reduced model 1	Reduced model 2
Formula	anti-S (U/mL) ~ anti-N serostatus + Age + Gender	anti-S (U/mL) ~ anti-N serostatus + Age	anti-S (U/mL) ~ Age + Gender
Intercept Estimate	− 8.15	− 8.17	− 7.90
Intercept Std. Error	0.06	0.06	0.07
Intercept Wald test statistics	127.00	− 129.09	− 116.17
Intercept p value	< 0.001	< 0.001	< 0.001
Anti-N serostatus + Estimate	0.98	0.97
Anti-N serostatus + Std. Error	0.05	0.05
Anti-N serostatus + Wald test statistics	19.47	19.28
Anti-N serostatus + p value	< 0.001	< 0.001
Age Estimate	− 0.02	− 0.02	− 0.02
Age Std. Error	0.001	0.001	0.001
Age Wald test statistics	− 15.06	− 15.09	− 15.74
Age p value	< 0.001	< 0.001	< 0.001
Gender M Estimate	− 0.09		− 0.04
Gender M Error	0.04		0.04
Gender M Wald test statistics	− 2.18		− 0.89
Gender M p-value	0.029		0.373
Log-likelihood	8726 on 5 Df	8723 on 4 Df	8617 on 4 Df
AIC	− 17,441.72	− 17,438.80	− 17,225.38
Pseudo R-squared	0.340	0.337	0.255