Table 2 Percent absolute relative bias (RB) and mean squared error (MSE) for computer simulation study
\( {prev}_{Y_1}, \) \( {prev}_{Y_2} \) | \( {\overline{\rho}}_x \) | RB; prev T = 20% | |||||||||
\( {\boldsymbol{\rho}}_{{\boldsymbol{Y}}_{\mathbf{1}}{\boldsymbol{Y}}_{\mathbf{2}}} \) = 0.85 | \( {\boldsymbol{\rho}}_{{\boldsymbol{Y}}_{\mathbf{1}}{\boldsymbol{Y}}_{\mathbf{2}}} \) = 0.65 | ||||||||||
OR | AND | RSSA | PSSA (16) | PSSA (8) | OR | AND | RSSA | PSSA (16) | PSSA (8) | ||
18, 15% | 0.00 | 9.5 | 47.5 | 7.5 | 9.5 | 11.3 | 23.1 | 59.4 | 1.3 | 48.3 | 49.5 |
0.20 | 9.0 | 47.7 | 7.9 | 2.1 | 7.4 | 22.9 | 59.4 | 1.5 | 41.7 | 54.3 | |
0.50 | 10.1 | 47.2 | 7.0 | 24.3 | 21.1 | 23.7 | 59.1 | 0.9 | 99.0 | 78.6 | |
18, 10% | 0.00 | 0.3 | 58.6 | 18.2 | 1.1 | 3.0 | 10.8 | 67.1 | 12.8 | 28.9 | 37.5 |
0.20 | 0.9 | 58.9 | 18.7 | 5.9 | 5.9 | 10.5 | 67.2 | 13.0 | 31.1 | 54.3 | |
0.50 | 0.2 | 58.3 | 17.7 | 48.8 | 26.1 | 11.2 | 66.8 | 12.4 | 108.8 | 90.1 | |
15, 15% | 0.00 | 4.1 | 49.2 | 11.5 | 3.7 | 4.3 | 17.6 | 61.7 | 5.8 | 41.3 | 42.5 |
0.20 | 3.6 | 49.4 | 12.0 | 3.1 | 3.6 | 17.2 | 61.9 | 6.1 | 37.6 | 50.1 | |
0.50 | 4.8 | 48.7 | 10.9 | 20.5 | 12.5 | 18.1 | 61.5 | 5.3 | 102.0 | 70.7 | |
\( {prev}_{Y_1}, \) \( {prev}_{Y_2} \) | \( {\overline{\rho}}_x \) | MSE; prev T = 20% | |||||||||
\( {\boldsymbol{\rho}}_{{\boldsymbol{Y}}_{\mathbf{1}}{\boldsymbol{Y}}_{\mathbf{2}}} \) = 0.85 | \( {\boldsymbol{\rho}}_{{\boldsymbol{Y}}_{\mathbf{1}}{\boldsymbol{Y}}_{\mathbf{2}}} \) = 0.65 | ||||||||||
OR | AND | RSSA | PSSA (16) | PSSA (8) | OR | AND | RSSA | PSSA (16) | PSSA (8) | ||
18, 15% | 0.00 | 0.04 | 0.90 | 0.02 | 0.06 | 0.47 | 0.22 | 1.41 | < 0.01 | 0.99 | 1.76 |
0.20 | 0.03 | 0.91 | 0.03 | 0.02 | 0.52 | 0.21 | 1.41 | < 0.01 | 0.82 | 2.25 | |
0.50 | 0.04 | 0.89 | 0.02 | 1.06 | 1.47 | 0.23 | 1.40 | 0.00 | 4.68 | 4.46 | |
18, 10% | 0.00 | < 0.01 | 1.37 | 0.13 | 0.02 | 0.69 | 0.05 | 1.80 | 0.07 | 0.40 | 1.70 |
0.20 | < 0.01 | 1.39 | 0.14 | 0.06 | 1.16 | 0.05 | 1.80 | 0.07 | 0.70 | 3.48 | |
0.50 | < 0.01 | 1.36 | 0.13 | 2.28 | 2.32 | 0.05 | 1.79 | 0.06 | 5.36 | 6.16 | |
15, 15% | 0.00 | 0.01 | 0.97 | 0.05 | 0.03 | 0.46 | 0.13 | 1.53 | 0.01 | 0.74 | 1.62 |
0.20 | 0.01 | 0.98 | 0.06 | 0.02 | 0.72 | 0.12 | 1.53 | 0.02 | 0.74 | 2.20 | |
0.50 | 0.01 | 0.95 | 0.05 | 1.03 | 1.29 | 0.13 | 1.51 | 0.01 | 4.84 | 3.96 | |
\( {prev}_{Y_1}, \) \( {prev}_{Y_2} \) | \( {\overline{\rho}}_x \) | RB; prev T = 10% | |||||||||
\( {\boldsymbol{\rho}}_{{\boldsymbol{Y}}_{\mathbf{1}}{\boldsymbol{Y}}_{\mathbf{2}}} \) = 0.85 | \( {\boldsymbol{\rho}}_{{\boldsymbol{Y}}_{\mathbf{1}}{\boldsymbol{Y}}_{\mathbf{2}}} \) = 0.65 | ||||||||||
OR | AND | RSSA | PSSA (16) | PSSA (8) | OR | AND | RSSA | PSSA (16) | PSSA (8) | ||
8, 7% | 0.00 | 11.5 | 55.8 | 8.4 | 9.7 | 35.0 | 29.6 | 67.1 | 1.1 | 76.2 | 154.9 |
0.20 | 10.5 | 56.1 | 9.2 | 42.6 | 37.8 | 28.7 | 67.4 | 0.3 | 196.7 | 217.1 | |
0.50 | 13.1 | 54.9 | 7.1 | 216.1 | 43.3 | 30.7 | 66.6 | 2.0 | 307.6 | 286.5 | |
8, 5% | 0.00 | 2.9 | 59.7 | 16.0 | 1.1 | 50.5 | 12.2 | 73.4 | 13.5 | 45.3 | 114.9 |
0.20 | 3.2 | 59.7 | 15.8 | 10.7 | 85.1 | 12.0 | 73.9 | 13.8 | 235.2 | 273.4 | |
0.50 | 3.8 | 59.2 | 15.3 | 230.5 | 198.2 | 14.2 | 73.3 | 12.1 | 322.2 | 334.8 | |
5, 5% | 0.00 | 14.7 | 70.0 | 30.9 | 6.3 | 92.1 | 7.4 | 78.7 | 28.4 | 61.0 | 193.0 |
0.20 | 15.4 | 70.2 | 31.5 | 134.4 | 149.1 | 8.0 | 78.7 | 28.8 | 271.0 | 217.9 | |
0.50 | 13.6 | 69.5 | 30.0 | 275.7 | 222.1 | 6.3 | 78.2 | 27.4 | 333.8 | 375.0 | |
\( {prev}_{Y_1}, \) \( {prev}_{Y_2} \) | \( {\overline{\rho}}_x \) | MSE; prev T = 10% | |||||||||
\( {\boldsymbol{\rho}}_{{\boldsymbol{Y}}_{\mathbf{1}}{\boldsymbol{Y}}_{\mathbf{2}}} \) = 0.85 | \( {\boldsymbol{\rho}}_{{\boldsymbol{Y}}_{\mathbf{1}}{\boldsymbol{Y}}_{\mathbf{2}}} \) = 0.65 | ||||||||||
OR | AND | RSSA | PSSA (16) | PSSA (8) | OR | AND | RSSA | PSSA (16) | PSSA (8) | ||
8, 7% | 0.00 | 0.01 | 0.31 | 0.01 | 0.28 | 2.01 | 0.09 | 0.45 | < 0.01 | 0.87 | 6.33 |
0.20 | 0.01 | 0.31 | 0.01 | 1.29 | 1.31 | 0.08 | 0.45 | < 0.01 | 5.19 | 8.53 | |
0.50 | 0.02 | 0.30 | 0.01 | 5.60 | 6.72 | 0.10 | 0.44 | < 0.01 | 9.97 | 12.77 | |
8, 5% | 0.00 | < 0.01 | 0.36 | 0.03 | 0.12 | 2.78 | 0.02 | 0.54 | 0.02 | 0.28 | 4.31 |
0.20 | < 0.01 | 0.36 | 0.03 | 0.59 | 3.59 | 0.02 | 0.55 | 0.02 | 7.28 | 12.63 | |
0.50 | < 0.01 | 0.35 | 0.02 | 6.39 | 8.45 | 0.02 | 0.54 | 0.02 | 10.91 | 16.73 | |
5, 5% | 0.00 | 0.02 | 0.49 | 0.10 | 0.57 | 6.96 | 0.01 | 0.62 | 0.08 | 1.92 | 9.37 |
0.20 | 0.02 | 0.49 | 0.10 | 4.82 | 8.11 | 0.01 | 0.62 | 0.08 | 9.11 | 9.70 | |
0.50 | 0.02 | 0.48 | 0.09 | 8.71 | 10.08 | < 0.01 | 0.61 | 0.08 | 11.79 | 18.41 | |