. 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 6.

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	1.58 (0.10)	0	0.23 (0.02)	0	0.78 (0.12)
Ideal	1.00 (0.10)	94.6%	0.50 (0.03)	95.8%	1.00 (0.14)
General Misclassification^††	1.00 (0.20)	92.4%	0.50 (0.05)	93.0%	0.97 (0.29)	0.99 (0.26)	0.02 (0.18)
Independent Correlated Differential Misclassification^†††	1.00 (0.20)	95.2%	0.50 (0.05)	94.8%	0.98 (0.29)	1.01 (0.22)
Uncorrelated Differential Misclassification^††††	1.12 (0.21)	92.0%	0.51 (0.05)	93.4%	1.89 (0.36)
Nondifferential Misclassification^{†††††}	2.40 (0.18)	0.2%	0.48 (0.05)	91.6%	2.00 (0.33)
Selected Model	1.00 (0.20)	95.0%	0.50 (0.05)	94.8%	0.97 (0.29)	1.00 (0.24)

^†

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), (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 487 times.

^†††

Converged 500 times.

^††††

Converged 495 times.

^{†††††}

Converged 492 times.