Table 1.

The mis-substitution bias: relative bias for π and absolute bias for λ = logit(π) due to misspecifying one or both of (Se = 0.95, Sp = 0.995), evaluated for the limiting case that n → ∞ (see Section 2 for details). “NA” indicates that the limit of π̂_sbt is undefined or out of range.

Prevalence (π)	Group Size (k)	Specified Values of (Se, Sp)
		(0.95, 1)	(0.95, 0.99)	(1, 0.995)	(0.9, 0.995)	(1, 1)	(0.9, 0.99)
relative bias for π
0.05	1	0.10	−0.10	−0.05	0.06	0.05	−0.05
	5	0.02	−0.02	−0.06	0.06	−0.04	0.04
	15	0.01	−0.01	−0.07	0.08	−0.07	0.08
	50	0.00	0.00	−0.18	0.42	−0.18	0.41
	150	0.00	0.00	−0.61	NA	−0.61	NA
0.005	1	1.05	NA	−0.05	0.06	0.95	NA
	5	0.21	−0.21	−0.05	0.06	0.15	−0.17
	15	0.07	−0.07	−0.05	0.06	0.01	−0.02
	50	0.02	−0.02	−0.06	0.06	−0.04	0.04
	150	0.01	−0.01	−0.07	0.09	−0.07	0.08
bias for λ = logit(π)
0.05	1	0.10	−0.11	−0.05	0.06	0.05	−0.05
	5	0.02	−0.02	−0.06	0.06	−0.04	0.04
	15	0.01	−0.01	−0.08	0.09	−0.07	0.08
	50	0.00	0.00	−0.21	0.37	−0.21	0.37
	150	0.00	0.00	−0.96	NA	−0.96	NA
0.005	1	0.72	NA	−0.05	0.05	0.67	NA
	5	0.19	−0.24	−0.05	0.06	0.14	−0.18
	15	0.07	−0.07	−0.05	0.06	0.01	−0.02
	50	0.02	−0.02	−0.06	0.06	−0.04	0.04
	150	0.01	−0.01	−0.08	0.08	−0.07	0.08