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 |