. Author manuscript; available in PMC: 2008 Jun 26.

Published in final edited form as: J Am Stat Assoc. 2007;102(479):856–866. doi: 10.1198/016214506000000771

Table 3.

Analysis results from the PIN study making parametric assumptions about true folate and a common correlation parameter among contemporaneous instruments. The “naive” analysis refers to two independent, complete-case analyses which replace the true folate random variable with the serum folate biomarker. γ refers to systematic parameters in the measurement error model. Posterior means from 6000 Gibbs samples with the first 4500 treated as burn-in are reported with standard deviations reported in parentheses.

Parameter	Naive	Normal	MDP (ξ = 0.83)
Intercept (η₀)	−1.95 (0.08)	−1.99 (0.08)	−1.99 (0.08)
Folate (η_T )	−0.27 (0.11)	−0.46 (0.15)	−0.48 (0.14)
Height (ηZ₁)	−0.07 (0.03)	−0.08 (0.03)	−0.08 (0.03)
BMI (ηZ₂)	0.68 (0.30)	0.65 (0.31)	0.63 (0.31)
Energy (ηZ₃)	−0.01 (0.15)	−0.01 (0.16)	−0.01 (0.15)
$γ_{1}^{Q}$	5.90 (0.16)	5.97 (0.02)	5.97 (0.02)
$γ_{2}^{Q}$	0.18 (0.19)	0.11 (0.07)	0.10 (0.07)
$γ_{3}^{Q}$	0.20 (0.23)	−0.34 (0.08)	−0.35 (0.08)
$γ_{T}^{Q}$	−0.13 (0.13)	0.13 (0.03)	0.13 (0.03)
$γ_{1}^{F}$	5.27 (0.09)	5.31 (0.07)	5.34 (0.06)
$γ_{2}^{F}$	0.25 (0.12)	0.31 (0.09)	0.31 (0.09)
$γ_{3}^{F}$	0.59 (0.13)	0.56 (0.09)	0.55 (0.09)
$γ_{T}^{F}$	−0.01 (0.08)	−0.02 (0.05)	−0.02 (0.04)