TABLE 1.

Results for estimation and inference from simulation study described in Section 4.1 (only β₁). We show results from 2000 replicates with varying sample size and effect size of predictor, as well as two different data-generating models/analysis strategies

Sample size	Data-generating model	Analysis strategy	True value	AE	ESE	AESE	CP
n = 100	Poisson GLM	Poisson GLM	0.2	0.206	0.120	0.117	0.950
		SPGLM		0.208	0.125	0.121	0.953
	Zero-inflated, truncated Poisson	Poisson GLM	0.2	0.166	0.132	0.122	0.922
		SPGLM		0.204	0.164	0.163	0.956
n = 500	Poisson GLM	Poisson GLM	0.2	0.199	0.0518	0.0516	0.952
		SPGLM		0.200	0.0531	0.0528	0.955
	Zero-inflated, truncated Poisson	Poisson GLM	0.2	0.161	0.0589	0.0537	0.854
		SPGLM		0.198	0.0730	0.0720	0.946
n = 1000	Poisson GLM	Poisson GLM	0.2	0.200	0.0368	0.0364	0.947
		SPGLM		0.200	0.0378	0.0372	0.944
	Zero-inflated, truncated Poisson	Poisson GLM	0.2	0.161	0.0420	0.0379	0.794
		SPGLM		0.199	0.0520	0.0508	0.941
n = 100	Poisson GLM	Poisson GLM	0.7	0.712	0.139	0.141	0.959
		SPGLM		0.713	0.156	0.156	0.951
	Zero-inflated, truncated Poisson	Poisson GLM	0.7	0.592	0.148	0.135	0.847
		SPGLM		0.711	0.185	0.183	0.954
n = 500	Poisson GLM	Poisson GLM	0.7	0.701	0.0629	0.0618	0.952
		SPGLM		0.701	0.0702	0.0688	0.942
	Zero-inflated, truncated Poisson	Poisson GLM	0.7	0.581	0.0669	0.0597	0.491
		SPGLM		0.700	0.0821	0.0808	0.947
n = 1000	Poisson GLM	Poisson GLM	0.7	0.700	0.0448	0.0436	0.954
		SPGLM		0.700	0.0500	0.0485	0.940
	Zero-inflated, truncated Poisson	Poisson GLM	0.7	0.581	0.0465	0.0421	0.223
		SPGLM		0.701	0.0576	0.0571	0.949

Abbreviations: AE, average estimate; ESE, empirical standard error; AESE, average estimated standard error; CP, coverage probability, 95% confidence intervals.