Skip to main content
. Author manuscript; available in PMC: 2024 Nov 20.
Published in final edited form as: Stat Med. 2023 Sep 3;42(26):4738–4762. doi: 10.1002/sim.9886

TABLE 3.

Simulation Posterior Summaries for Partially-Missing Within-Study Correlations: MCAR/MNAR Missingness

Missing Data Mechanism: MCAR
Missing, Non-Missing Average rj Discrepancy = 0
Mean Impute (d) Informative Uniform Prior (e) Conservative Hierarchical Beta Prior (g)
β Bias CVG* CVG σe Bias β Bias CVG* CVG σe Bias β Bias CVG* CVG σe Bias
Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3
PM=0.2 0.06 0.01 0.97 0.98 0.93 0.95 −0.02 0.00 0.05 0.01 0.98 0.99 0.94 0.95 −0.02 0.00 0.04 0.01 0.98 0.98 0.95 0.95 −0.02 0.00
PM=0.5 0.06 0.01 0.97 0.98 0.95 0.95 −0.02 0.00 0.06 0.01 0.98 0.99 0.95 0.96 −0.02 0.00 0.03 0.01 0.98 0.99 0.95 0.95 −0.02 0.00
PM=0.8 0.06 0.01 0.97 0.98 0.95 0.95 −0.02 0.00 0.06 0.02 0.98 0.98 0.95 0.95 −0.02 0.00 −0.13 0.01 0.98 0.98 0.94 0.95 −0.01 0.00
Missing Data Mechanism: MNAR
Missing, Non-Missing Average rj Discrepancy = 0.2
Mean Impute (d) Informative Uniform Prior (e) Conservative Hierarchical Beta Prior (g)
β Bias CVG* CVG σe Bias β Bias CVG* CVG σe Bias β Bias CVG* CVG σe Bias
Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3 Setup 2 Setup 3
PM=0.2 0.13 0.01 0.96 0.99 0.95 0.96 −0.02 0.00 0.13 0.02 0.96 0.99 0.95 0.96 −0.02 0.00 0.12 0.01 0.97 0.99 0.95 0.95 −0.02 0.00
PM=0.5 0.21 0.01 0.92 0.99 0.92 0.96 −0.03 0.00 0.21 0.02 0.93 0.98 0.93 0.95 −0.03 0.00 0.17 0.01 0.93 0.99 0.93 0.96 −0.03 0.00
PM=0.8 0.30 0.01 0.86 0.99 0.86 0.96 −0.05 0.00 0.29 0.02 0.87 0.99 0.87 0.96 −0.05 0.00 0.14 0.01 0.95 0.99 0.93 0.95 −0.03 0.00

PM: Proportion Missing; Setup 2: Average SEs equivalent to between-study SDs. Setup 3: Average SEs one-tenth the size of between-study SDs. Letters (e.g. (d)) displayed correspond to those used to define missing data handling strategies introduced in-text.