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. Author manuscript; available in PMC: 2021 Dec 9.
Published in final edited form as: Stat Med. 2021 Apr 26;40(17):3937–3952. doi: 10.1002/sim.9007

Table 3:

The mean MSDE and MSE values from all eight simulation settings with varying measurement error variance σ2, number of regions, and range of the number of facilities per region. Results are based on 200 Monte Carlo runs.

Number of regions: n = 423 regions n = 49 regions
Number of facilities: 4–20 10–30 4–20 10–30
Noise level, σ2: 0.02 0.2 0.02 0.2 0.02 0.2 0.02 0.2
MSDE
μ^(t) 0.002 0.002 0.002 0.002 0.016 0.018 0.015 0.020
ψ^1(1)(t) 0.002 0.002 0.003 0.003 0.027 0.026 0.021 0.031
ψ^2(1)(t) 0.003 0.004 0.004 0.004 0.035 0.036 0.026 0.038
ψ^1(2)(t) 0.001 0.001 < .001 < .001 0.010 0.010 0.003 0.005
ψ^2(2)(t) 0.001 0.001 0.001 0.001 0.012 0.013 0.004 0.006
MSE
α^1 0.007 0.008 0.006 0.006 0.104 0.110 0.112 0.112
α^2 0.001 0.001 0.001 < .001 0.025 0.028 0.023 0.028
ν^ 0.001 0.001 0.001 < .001 0.001 0.001 0.001 0.001
σ^2 < .001 < .001 < .001 < .001 < .001 < .001 < .001 < .001
ξ^i1 0.006 0.007 0.005 0.006 0.044 0.052 0.041 0.056
ξ^i2 0.003 0.008 0.002 0.005 0.018 0.024 0.016 0.024
ζ^ij1 0.001 0.008 0.001 0.008 0.004 0.011 0.002 0.009
ζ^ij2 0.002 0.010 0.001 0.009 0.004 0.012 0.002 0.010
λ^i1 0.008 0.008 0.003 0.004 0.007 0.008 0.003 0.004
Small 0.013 0.014 0.004 0.005 0.010 0.013 0.004 0.005
Medium 0.008 0.007 0.003 0.004 0.007 0.007 0.003 0.004
Large 0.004 0.004 0.002 0.002 0.004 0.004 0.003 0.002
λ^i2 0.002 0.002 0.001 0.001 0.002 0.002 0.001 0.001
Small 0.003 0.003 0.001 0.001 0.002 0.003 0.001 0.001
Medium 0.002 0.002 0.001 0.001 0.002 0.002 0.001 0.001
Large 0.001 0.001 < .001 < .001 0.001 0.001 0.001 < .001