. Author manuscript; available in PMC: 2021 Feb 12.

Published in final edited form as: Bayesian Anal. 2019 Jun 11;14(3):829–855. doi: 10.1214/18-ba1132

Table 1:

Parameter estimates and 95% intervals for fixed effects ZINB model in simulation study 1.

Model Component	Parameter	Simulated Value	Estimate (95% Interval)
Model Component	Parameter	Simulated Value	Proposed Model^†	MLE^‡
Binary	β₁₀	0.50	0.51 (−0.00, 1.18)	0.39 ( 0.12, 0.90)
	β₁₁	0.50	0.47 ( 0.18, 0.85)	0.41 ( 0.12, 0.70)
	β₁₂	−0.25	−0.03 (−0.46, 0.38)	−0.01 (−0.41, 0.38)
	β₁₃	0.25	0.09 (−0.15, 0.35)	0.09 (−0.15, 0.32)
Count	β₂₀	0.50	0.37 ( 0.04, 0.72)	0.33 (−0.01, 0.67)
	β₂₁	−1.00	−0.95 (−1.09, −0.82)	−0.95 (−1.08, −0.81)
	β₂₂	0.75	0.62 ( 0.40, 0.84)	0.62 ( 0.40, 0.83)
	β₂₃	−0.25	−0.11 (−0.24, 0.02)	−0.11 (−0.24, 0.02)
	r	1.00	1.18 ( 0.77, 1.68)	1.25 ( 0.78, 1.73)

^†

Posterior means and 95% credible intervals for proposed Bayesian ZINB model.

^‡

MLEs and 95% confidence intervals obtained using SAS Proc NLMIXED.