Table 1 Summary of parameter estimates obtained from complete and simulated missing data
From: Estimating range of influence in case of missing spatial data: a simulation study on binary data
Data 1 | N | Intercept (SD) | RMeSE 2 | Covariate 3(SD) | RMeSE 2 | σ 2 (SD) | RMeSE 2 | Range 4 (SD) | RMeSE 2 |
|---|---|---|---|---|---|---|---|---|---|
Complete | -4.3 (0.31) | - | 0.63 (0.052) | - | 0.49 (0.21) | - | 12.7 (4.4) | - | |
MCAR | |||||||||
5% | 1000 | -4.3 (0.32) | 0.047 | 0.62 (0.053) | 0.0094 | 0.49 (0.21) | 0.028 | 12.8 (4.7) | 0.8 |
10% | 1000 | -4.3 (0.32) | 0.066 | 0.62 (0.055) | 0.013 | 0.48 (0.22) | 0.039 | 12.9 (4.8) | 1.3 |
15% | 1000 | -4.3 (0.33) | 0.087 | 0.63 (0.056) | 0.018 | 0.49 (0.22) | 0.049 | 12.8 (4.9) | 1.4 |
25% | 1000 | -4.3 (0.35) | 0.12 | 0.63 (0.060) | 0.025 | 0.47 (0.24) | 0.069 | 13.1 (5.4) | 2.0 |
50% | 994 | -4.3 (0.42) | 0.21 | 0.63 (0.074) | 0.041 | 0.45 (0.30) | 0.13 | 13.1 (6.8) | 3.7 |
75%5 | 940 | -4.3 (0.56) | 0.35 | 0.63 (0.11) | 0.073 | 0.44 (0.48) | 0.22 | 12.9 (10.7) | 5.4 |
MAR0 OR=1/3 | |||||||||
5% | 1000 | -4.2 (0.32) | 0.055 | 0.61 (0.053) | 0.012 | 0.49 (0.21) | 0.033 | 13.0 (4.9) | 1.1 |
10% | 1000 | -4.3 (0.33) | 0.078 | 0.63 (0.056) | 0.017 | 0.48 (0.22) | 0.042 | 12.6 (4.7) | 1.4 |
15% | 1000 | -4.3 (0.34) | 0.097 | 0.64 (0.058) | 0.020 | 0.48 (0.22) | 0.046 | 12.6 (4.8) | 1.6 |
25% | 1000 | -4.3 (0.36) | 0.16 | 0.64 (0.062) | 0.028 | 0.50 (0.25) | 0.061 | 13.1 (5.6) | 2.1 |
50% | 1000 | -4.4 (0.44) | 0.21 | 0.66 (0.074) | 0.045 | 0.55 (0.32) | 0.11 | 13.8 (6.8) | 3.1 |
75%5 | 985 | -4.5 (0.58) | 0.33 | 0.67 (0.098) | 0.067 | 0.63 (0.48) | 0.20 | 13.4 (9.0) | 4.1 |
MAR0 OR=3 | |||||||||
5% | 1000 | -4.1 (0.33) | 0.17 | 0.57 (0.058) | 0.048 | 0.47 (0.23) | 0.059 | 13.8 (5.7) | 1.7 |
10% | 1000 | -4.3 (0.33) | 0.078 | 0.62 (0.056) | 0.017 | 0.47 (0.22) | 0.048 | 12.8 (5.0) | 1.4 |
15% | 1000 | -4.2 (0.33) | 0.10 | 0.62 (0.058) | 0.020 | 0.46 (0.23) | 0.062 | 13.1 (5.2) | 1.6 |
25% | 1000 | -4.2 (0.35) | 0.13 | 0.61 (0.062) | 0.028 | 0.44 (0.25) | 0.087 | 13.2 (5.8) | 2.3 |
50% | 987 | -4.2 (0.41) | 0.20 | 0.60 (0.074) | 0.041 | 0.41 (0.31) | 0.13 | 11.9 (7.1) | 3.9 |
75%5 | 976 | -4.2 (0.51) | 0.31 | 0.58 (0.10) | 0.066 | 0.35 (0.42) | 0.21 | 10.6 (9.2) | 5.3 |
MAR1 OR=1/3 | |||||||||
5% | 1000 | -4.7 (0.36) | 0.46 | 0.72 (0.061) | 0.093 | 0.50 (0.22) | 0.030 | 12.6 (4.6) | 1.0 |
10% | 1000 | -4.9 (0.38) | 0.65 | 0.75 (0.066) | 0.13 | 0.51 (0.23) | 0.038 | 12.2 (4.5) | 1.1 |
15% | 1000 | -5.1 (0.40) | 0.80 | 0.78 (0.071) | 0.16 | 0.52 (0.24) | 0.047 | 11.8 (4.4) | 1.4 |
25% | 1000 | -5.3 (0.44) | 1.03 | 0.83 (0.079) | 0.21 | 0.53 (0.25) | 0.055 | 11.1 (4.1) | 1.9 |
50% | 1000 | -5.6 (0.55) | 1.36 | 0.89 (0.098) | 0.27 | 0.58 (0.29) | 0.10 | 9.5 (3.5) | 3.3 |
75%5 | 1000 | -5.9 (0.73) | 1.57 | 0.94 (0.13) | 0.31 | 0.61 (0.35) | 0.14 | 9.4 (4.0) | 3.5 |
MAR1 OR=3 | |||||||||
5% | 1000 | -4.1 (0.33) | 0.17 | 0.57 (0.058) | 0.048 | 0.47 (0.23) | 0.059 | 13.8 (5.7) | 1.7 |
10% | 1000 | -4.0 (0.33) | 0.28 | 0.54 (0.062) | 0.082 | 0.46 (0.25) | 0.074 | 13.8 (6.1) | 2.0 |
15% | 998 | -3.9 (0.34) | 0.38 | 0.51 (0.065) | 0.11 | 0.46 (0.26) | 0.091 | 13.9 (6.5) | 2.5 |
25% | 985 | -3.7 (0.36) | 0.54 | 0.46 (0.072) | 0.16 | 0.47 (0.31) | 0.10 | 13.7 (6.7) | 2.7 |
50% | 942 | -3.4 (0.40) | 0.84 | 0.35 (0.089) | 0.27 | 0.53 (0.43) | 0.14 | 11.9 (7.5) | 4.1 |
75%5 | 932 | -3.2 (0.46) | 1.10 | 0.25 (0.12) | 0.38 | 0.55 (0.61) | 0.22 | 10.3 (7.9) | 4.9 |
MNAR OR=1/3 | |||||||||
5% | 1000 | -4.2 (0.31) | 0.051 | 0.62 (0.052) | 0.0072 | 0.49 (0.21) | 0.019 | 12.8 (4.6) | 0.6 |
10% | 1000 | -4.2 (0.32) | 0.091 | 0.62 (0.053) | 0.012 | 0.49 (0.21) | 0.033 | 12.8 (4.7) | 1.0 |
15% | 1000 | -4.1 (0.32) | 0.14 | 0.62 (0.054) | 0.014 | 0.49 (0.22) | 0.037 | 12.9 (4.8) | 1.2 |
25% | 1000 | -4.0 (0.33) | 0.24 | 0.62 (0.056) | 0.017 | 0.49 (0.23) | 0.056 | 13.0 (5.1) | 1.6 |
50% | 997 | -3.8 (0.37) | 0.52 | 0.61 (0.065) | 0.032 | 0.47 (0.27) | 0.099 | 13.4 (6.1) | 2.6 |
75%5 | 977 | -3.4 (0.47) | 0.87 | 0.61 (0.085) | 0.047 | 0.45 (0.38) | 0.18 | 12.7 (8.4) | 4.2 |
MNAR OR=3 | |||||||||
5% | 1000 | -4.4 (0.32) | 0.092 | 0.62 (0.055) | 0.013 | 0.48 (0.22) | 0.040 | 12.6 (4.7) | 1.3 |
10% | 1000 | -4.5 (0.34) | 0.17 | 0.63 (0.058) | 0.023 | 0.48 (0.23) | 0.058 | 12.9 (5.0) | 1.7 |
15% | 1000 | -4.5 (0.35) | 0.26 | 0.63 (0.061) | 0.026 | 0.48 (0.24) | 0.071 | 13.0 (5.4) | 2.2 |
25% | 999 | -4.7 (0.40) | 0.42 | 0.64 (0.068) | 0.039 | 0.46 (0.27) | 0.10 | 12.6 (5.7) | 3.1 |
50%5 | 983 | -5.0 (0.53) | 0.69 | 0.64 (0.093) | 0.068 | 0.44 (0.38) | 0.19 | 12.2 (8.2) | 4.9 |
75%5 | 905 | -5.3 (0.83) | 1.00 | 0.65 (0.15) | 0.18 | 0.34 (0.62) | 0.44 | 14.8 (19.3) | 6.7 |