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. 2018 Aug 30;13(8):e0201892. doi: 10.1371/journal.pone.0201892

Table 2. Summary of simulation under normal errors for naïve, LMEM, SMEMN, SMEM models, respectively.

Naïve σyee σyes γ1,ee γ2,ee γ3,ee γ1,es γ2,es γ3,es
Replicates 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4
Mean Est 477.65 473.42 347.49 354.85 254.67 248.66 14.88 14.03 -4.14 -5.29 -200.53 -199.39 7.91 8.31 -4.94 -5.13
Std Err 17.82 19.24 9.43 6.80 43.65 36.10 4.33 3.62 3.37 3.06 28.19 22.83 2.90 2.13 2.35 1.73
Bias 72.15 67.92 13.49 20.85 -45.33 -51.34 0.88 0.03 2.86 1.71 -0.53 0.61 -0.09 0.31 0.06 -0.13
Truth 405.50 405.50 334.00 334.00 300.00 300.00 14.00 14.00 -7.00 -7.00 -200.00 -200.00 8.00 8.00 -5.00 -5.00
LMEM σyee σyes σwee σwes γ1,ee γ2,ee γ3,ee γ1,es γ2,es γ3,es
Replicates 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4
Mean Est 444.34 446.63 320.41 338.26 255.70 255.85 69.18 71.81 249.50 240.63 14.30 13.67 -4.50 -5.28 -199.27 -198.49 7.91 8.29 -4.91 -5.15
Std Err 16.84 14.22 10.76 7.53 10.74 6.33 2.27 1.56 43.44 37.02 4.25 3.60 3.38 3.04 28.31 22.96 2.91 2.12 2.30 1.71
Bias 38.84 41.13 -13.59 4.26 5.70 5.85 -3.68 -1.05 -50.50 -59.37 0.30 -0.33 2.50 1.72 0.73 1.51 -0.09 0.29 0.09 -0.15
Truth 405.50 405.50 334.00 334.00 250.00 250.00 72.86 72.86 300.00 300.00 14.00 14.00 -7.00 -7.00 -200.00 -200.00 8.00 8.00 -5.00 -5.00
SMEMN σyee σyes σwee σwes γ1,ee γ2,ee γ3,ee γ1,es γ2,es γ3,es
Replicates 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4 2 4
Mean Est 393.69 400.55 313.47 331.79 246.81 248.93 67.61 71.04 293.16 294.61 14.17 14.11 -6.86 -6.78 -200.07 -200.86 8.00 8.04 -4.95 -5.26
Std Err 11.52 8.29 12.00 8.27 8.78 5.79 2.32 1.66 36.16 26.19 3.50 2.42 2.86 2.16 26.86 19.44 2.49 2.06 2.11 1.45
Bias -11.81 -4.95 -20.53 -2.21 -3.19 -1.07 -5.25 -1.82 -6.84 -5.39 0.17 0.11 0.14 0.22 -0.07 -0.86 0.00 0.04 0.05 -0.26
Truth 405.50 405.50 334.00 334.00 250.00 250.00 72.86 72.86 300.00 300.00 14.00 14.00 -7.00 -7.00 -200.00 -200.00 8.00 8.00 -5.00 -5.00
SMEM σyee σyes σwee σwes γ1,ee γ2,ee γ3,ee γ1,es γ2,es γ3,es
Replicates 4 4 4 4 4 4 4 4 4 4
Mean Est 400.13 331.38 248.94 70.85 297.62 14.16 -7.11 -198.04 8.12 -4.94
Std Err 8.25 8.43 6.05 1.62 26.53 2.72 2.08 18.11 1.85 1.64
Bias -5.37 -2.62 -1.06 -2.01 -2.38 0.16 -0.11 1.96 0.12 0.06
Truth 405.50 334.00 250.00 72.86 300.00 14.00 -7.00 -200.00 8.00 -5.00