. Author manuscript; available in PMC: 2020 Dec 1.

Published in final edited form as: Stat Methods Med Res. 2018 Oct 31;28(12):3516–3533. doi: 10.1177/0962280218807730

Table 2.

Mis-specified Case 1, unequal variance.

Non-zero %	True	Model BC2			Model BC0
		52%			52%
		Average		Average	Average		Average
		Estimates	SD	SE	Estimates	SD	SE
Logistic Part
β₁	1.000	1.045	0.233	0.220 (0.224)	1.066	0.244	0.235
β₂	0.500	0.518	0.152	0.153 (0.157)	0.530	0.187	0.188
β₃	0.000	−0.002	0.156	0.143 (0.148)	0.000	0.204	0.195
β₀₁	−0.500	−0.518	0.391	0.371 (0.375)	−0.523	0.480	0.481
β₀₂	0.500	0.533	0.377	0.351 (0.357)	0.520	0.500	0.474
Proportional constraints
b₁	0.600	0.601	0.256	0.241 (0.253)
b₂	1.000	1.006	0.312	0.290 (0.305)
Log-normal Part of Y₁
δ₁	0.600	0.600	0.223	0.216 (0.225)	0.590	0.256	0.252
δ₂	0.300	0.296	0.121	0.122 (0.123)	0.289	0.181	0.182
δ₃	0.000	0.000	0.095	0.086 (0.089)	−0.002	0.222	0.201
δ₀₁	−0.300	−0.296	0.251	0.242 (0.245)	−0.295	0.556	0.551
δ₀₂	0.300	0.308	0.236	0.225 (0.232)	0.316	0.477	0.473

Note: Results from the simulation study: average estimates, standard deviations (SD) of estimates, and average standard errors (SE), logistic part and log-normal part of Y₁. Sandwich estimator results for BC2 in parenthesis. ARI: acute respiratory infection.