. Author manuscript; available in PMC: 2016 Apr 1.

Published in final edited form as: J R Stat Soc Ser C Appl Stat. 2014 Oct 14;64(3):433–449. doi: 10.1111/rssc.12081

Table 5.

Simulations comparing MLEs under internal validation design for logistic-mixed regression with general outcome misclassification and two covariates (J=4) ^†

Model	${\hat{β}}_{1}$		${\hat{β}}_{2}$		${\hat{σ_{u}}}^{2}$	${\hat{σ_{u^{*}}}}^{2}$	ψ
Model	Mean (SD)	95% Coverage	Mean (SD)	95% Coverage	Mean (SD)	Mean (SD)	Mean (SD)
Naive	0.90 (0.10)	82.8%	0.21 (0.03)	0	1.15 (0.15)
Ideal	1.00 (0.11)	92.6%	0.50 (0.03)	96.6%	1.00 (0.14)
General Misclassification^††	0.99 (0.20)	93.6%	0.50 (0.05)	94.4%	1.00 (0.30)	1.01 (0.23)	0.52 (0.16)
Independent CorrelatedDifferential Misclassification^†††	1.00 (0.20)	95.8%	0.49 (0.05)	93.6%	1.11 (0.31)	1.38 (0.26)
Uncorrelated Differential Misclassification^††††	1.07 (0.22)	90.2%	0.49 (0.05)	89.6%	2.41 (0.22)
Nondifferential Misclassification^{†††††}	1.53 (0.19)	16.4%	0.48 (0.05)	89.8%	2.39 (0.22)
Selected Model	1.00 (0.20)	93.2%	0.50 (0.05)	93.2%	1.02 (0.36)	1.02 (0.23)	0.54 (0.16)

^†

ML based on (11) and (12); 500 simulations under each set of conditions with (β₀, β₁, β₂, σ²_u, σ²_u*, ψ)= (0, 1, 0.5, 1, 1, 0.5), (γ₀, γ₁, γ₂, γ₃, γ₄, γ₅)= (−3, 0.05, 0.2, 0.4, 1.5, 3). X₁ ~Bernoulli(0.5) and X₂ ~ N(0,4). n_m=800, n_v=200.

^††

Converged 499 times.

^†††

Converged 500 times.

^††††

Converged 468 times.

^{†††††}

Converged 476 times.