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. Author manuscript; available in PMC: 2025 Aug 25.
Published in final edited form as: Ann Appl Stat. 2023 May 1;17(2):1592–1614. doi: 10.1214/22-aoas1684

Table 4.

Simulation results under the SW-TND setting. For the log-contrast estimator (with equal or optimal weight), GLMM estimator, and GEE estimator, we report its average bias (Bias), standard error estimates (SE), average of the standard error estimators (ESE), probability of rejecting the null hypothesis (PoR), and coverage probability (CP). The bias, SE, and ESE are on the log scale

Estimators Bias SE ESE PoR CP
λ=1(logλ=0) Log-contrast (equal weight) 0.00 0.21 0.20 0.06 0.94
Log-contrast (optimal weight) 0.00 0.18 0.18 0.05 0.95
GLMM 0.01 0.10 0.08 0.10 0.90
GEE 0.06 0.06 0.07 0.11 0.89
λ=0.6(logλ=0.51) Log-contrast (equal weight) 0.00 0.21 0.20 0.70 0.94
Log-contrast (optimal weight) 0.00 0.18 0.18 0.80 0.95
GLMM 0.02 0.10 0.08 1.00 0.89
GEE 0.06 0.06 0.07 1.00 0.87
λ=0.2(logλ=1.61) Log-contrast (equal weight) 0.00 0.21 0.20 1.00 0.94
Log-contrast (optimal weight) 0.00 0.18 0.18 1.00 0.95
GLMM 0.03 0.11 0.10 1.00 0.91
GEE 0.07 0.06 0.08 1.00 0.89