Table 2.

Simulation results when X|C is generated under a log-normal 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	−0.01	4.74	4.84	95.5	0.00	0.69	0.70	95.2	0.04	7.30	7.36	95.3
	Naive	4.73	4.86	4.96	84.2	0.13	0.68	0.70	94.8	−8.46	5.60	5.59	67.6
	Linear RC	5.52	3.45	3.67	68.8	0.08	0.72	0.73	95.3	−5.16	6.43	6.59	88.4
	Gamma RC	0.26	5.09	5.14	95.2	0.00	0.69	0.70	95.2	−0.41	7.56	7.57	95.4
	Log-linear RC	0.32	5.06	5.11	95.1	0.00	0.69	0.70	95.3	−0.33	7.59	7.60	95.4
4	Full	−0.01	4.74	4.84	95.5	0.00	0.69	0.70	95.2	0.04	7.30	7.36	95.3
	Naive	5.68	6.11	6.22	85.1	0.15	0.68	0.70	94.8	−10.3	5.18	5.13	48.5
	Linear RC	5.74	3.62	3.84	69.5	0.08	0.73	0.74	95.4	−5.50	6.45	6.58	87.0
	Gamma RC	0.21	5.31	5.35	95.2	0.00	0.69	0.71	95.0	−0.32	7.77	7.76	94.9
	Log-linear RC	0.28	5.27	5.31	95.2	0.00	0.69	0.71	95.0	−0.28	7.78	7.78	95.0
8	Full	−0.01	4.74	4.84	95.5	0.00	0.69	0.70	95.2	0.04	7.30	7.36	95.3
	Naive	5.95	8.30	8.34	88.8	0.16	0.68	0.70	94.6	−10.9	5.00	4.97	40.9
	Linear RC	5.71	3.76	3.96	71.8	0.08	0.73	0.75	95.1	−5.50	6.50	6.62	87.5
	Gamma RC	0.21	5.46	5.42	94.4	0.00	0.69	0.71	94.9	0.10	8.95	8.07	94.8
	Log-linear RC	0.17	5.38	5.44	95.3	0.00	0.69	0.71	95.0	−0.14	7.94	7.90	94.9