Table 4.

Selected microbial genera by the three candidate shrinkage priors using 95% Credible Intervals for BMI and Gender (reference level set to male). The mean column refers to the estimated posterior mean ${\widehat{\beta }}_{\mathit{ij}}$

Bayes-Lasso		HS+		HS
BMI		BMI		BMI
Gemella	0.069933	Neisseria	$-$0.094633034	Prevotella	0.052712
Neisseria	$-$0.16766	Prevotella	0.089436593	Streptococcus	$-$0.02665
Prevotella	0.073241	Streptococcus	$-$0.040095512
Streptococcus	$-$0.05538
Gender.Female		Gender.Female		Gender.Female
Neisseria	$-$0.0823	Porphyromonas	$-$0.233645618	Granulicatella	1.773207
Porphyromonas	$-$0.251	Rothia	0.093621631	Porphyromonas	$-$0.22347
Veillonella	0.071075			Rothia	0.119202