Table 1.

Simulation results when X|C is generated under a gamma distribution. Relative bias, empirical standard deviation (SD), and average estimated standard error ( $\widehat{\text{SE}}$) are multiplied by 100 to facilitate comparison between methods.

Pool Size	Method	β1 = −0.1				γ1 = −0.015				γ2 = −0.01
		Bias x 100	SD x 100	$\widehat{\text{SE}}$ x100	95% CI Coverage	Bias x 100	SD x 100	$\widehat{\text{SE}}$ x 100	95% CI Coverage	Bias x 100	SD x 100	$\widehat{\text{SE}}$ x 100	95% CI Coverage
2	Full	−0.05	4.83	5.01	96.0	−0.02	0.74	0.75	95.5	0.03	7.75	7.85	95.5
	Naive	4.71	5.19	5.37	85.8	0.12	0.73	0.74	95.3	−8.83	5.92	5.99	69.1
	Linear RC	5.19	3.83	4.00	75.9	0.05	0.77	0.78	95.7	−5.07	7.05	7.08	89.1
	Gamma RC	−0.37	5.55	5.59	95.3	−0.02	0.74	0.75	95.4	0.10	8.23	8.24	95.2
	Log-Linear RC	−0.37	5.55	5.59	95.3	−0.02	0.74	0.75	95.5	0.11	8.23	8.24	95.2
4	Full	−0.05	4.83	5.01	96.0	−0.02	0.74	0.75	95.5	0.03	7.75	7.85	95.5
	Naive	5.61	6.75	6.83	86.8	0.15	0.73	0.74	95.1	−10.6	5.45	5.47	50.8
	Linear RC	5.44	3.92	4.13	75.7	0.06	0.78	0.79	95.4	−5.48	7.01	7.03	88.0
	Gamma RC	−0.43	5.78	5.80	95.0	−0.02	0.74	0.75	95.4	0.12	8.43	8.40	95.5
	Log-Linear RC	−0.44	5.78	5.80	94.9	−0.02	0.74	0.75	95.3	0.14	8.43	8.41	95.4
8	Full	−0.05	4.83	5.01	96.0	−0.02	0.74	0.75	95.5	0.03	7.75	7.85	95.5
	Naive	5.94	9.17	9.22	90.6	0.16	0.73	0.74	95.1	−11.3	5.27	5.29	42.6
	Linear RC	5.45	4.02	4.24	77.7	0.06	0.78	0.79	95.6	−5.54	6.98	7.05	87.7
	Gamma RC	−0.44	5.87	5.88	95.1	−0.02	0.74	0.75	95.3	0.14	8.52	8.48	95.1
	Log-Linear RC	−0.45	5.87	5.88	95.1	−0.02	0.74	0.75	95.2	0.14	8.52	8.49	95.1