Table 1:

Posterior model estimates and DIC quantiies across 300 simulated datasets for each $N:n$ pair. $N$ indicates the total sample size and $n$ indicates the substudy sample size in which the gold standard $T$ was observed.

		Naïve model			Adjusted w/out selection			Adjusted with reduced set of covariates
$N$	$n$	$E({\varphi }^{\mathrm{*}})$	$\mathrm{S}\mathrm{D}({\varphi }^{\mathrm{*}})$	$E\left(\varphi \right)$	SD ($\varphi$)	95% CI width	DIC	$E\left(\varphi \right)$	SD ($\varphi$)	95% CI width	DIC
1200	300	0.529	0.131	0.997	0.198	0.775	4388	0.994	0.185	0.727	4322
	600	0.542	0.131	1.015	0.166	0.651	3854	1.015	0.159	0.623	3839
	900	0.539	0.131	1.015	0.148	0.579	3889	1.015	0.142	0.557	3885
1800	300	0.534	0.107	1.006	0.175	0.687	7616	1.006	0.162	0.638	7363
	600	0.529	0.107	1.006	0.150	0.589	6122	1.006	0.142	0.558	6051
	900	0.541	0.107	1.009	0.135	0.529	5794	1.007	0.129	0.507	5771
2400	300	0.524	0.092	0.991	0.159	0.625	11802	0.990	0.146	0.574	11225
	600	0.527	0.092	0.989	0.138	0.540	8860	0.998	0.130	0.509	8671
	900	0.535	0.092	1.012	0.126	0.495	7988	1.012	0.120	0.471	7918