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. Author manuscript; available in PMC: 2023 May 30.
Published in final edited form as: Stat Med. 2022 Feb 22;41(12):2276–2290. doi: 10.1002/sim.9354

TABLE 6.

Simulation result

Size Parameter True Value Posterior Mean MC SE Relative Bias 95% Coverage Rate

5 × 100 β 0 −2 −1.80 0.68 0.10 0.97
β 10 2.5 2.47 0.45 0.01 0.99
β 11 −1.4 −1.33 0.52 0.05 0.99
logQ0 2.5 2.39 0.91 0.04 0.98
α 0 4 4.01 0.74 0.00 0.97
δ 2.8 2.80 0.01 0.00 0.95
10 × 100 β 0 −2 −1.94 0.38 0.03 0.97
β 10 2.5 2.52 0.25 0.01 0.97
β 11 −1.4 −1.38 0.29 0.01 0.96
logQ0 2.5 2.46 0.43 0.02 0.97
α 0 4 4.00 0.38 0.00 0.96
δ 2.8 2.81 0.01 0.00 0.94
5 × 200 β 0 −2 −1.77 0.68 0.12 0.97
β 10 2.5 2.46 0.40 0.02 0.98
β 11 −1.4 −1.36 0.44 0.03 0.99
logQ0 2.5 2.47 0.84 0.01 0.98
α 0 4 4.00 0.73 0.00 0.98
δ 2.8 2.81 0.01 0.00 0.94
10 × 200 β 0 −2 −1.92 0.38 0.04 0.96
β 10 2.5 2.52 0.22 0.01 0.97
β 11 −1.4 −1.39 0.24 0.01 0.97
logQ0 2.5 2.49 0.42 0.00 0.96
α 0 4 3.99 0.38 0.01 0.96
δ 2.8 2.81 0.00 0.00 0.92

Note. Size: number of studies × number of subjects per study; MC SE: Monte Carlo standard error; Relative Bias = (estimate − true)∕true.