Table 2 Summary of parameter estimates obtained after multiple imputation of 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 1 |
|---|---|---|---|---|---|---|---|---|---|
MCAR | |||||||||
5% | 998 | -4.3 (0.32) | 0.046 | 0.62 (0.053) | 0.0095 | 0.49 (0.22) | 0.031 | 13.2 (5.3) | 1.0 |
10% | 998 | -4.3 (0.33) | 0.071 | 0.62 (0.055) | 0.015 | 0.49 (0.23) | 0.042 | 13.4 (5.5) | 1.4 |
15% | 998 | -4.3 (0.33) | 0.090 | 0.62 (0.057) | 0.019 | 0.48 (0.23) | 0.055 | 13.3 (5.8) | 1.6 |
25% | 997 | -4.3 (0.35) | 0.12 | 0.63 (0.060) | 0.025 | 0.46 (0.24) | 0.077 | 13.2 (6.0) | 2.1 |
50%5 | 924 | -4.3 (0.38) | 0.22 | 0.62 (0.066) | 0.042 | 0.40 (0.28) | 0.13 | 15.1 (9.2) | 3.6 |
75%5 | 571 | -4.2 (0.39) | 0.37 | 0.62 (0.069) | 0.069 | 0.44 (0.38) | 0.18 | 15.2 (15.0) | 4.2 |
MAR0 OR=1/3 | |||||||||
5% | 1000 | -4.3 (0.32) | 0.054 | 0.62 (0.053) | 0.012 | 0.49 (0.22) | 0.038 | 13.4 (5.4) | 1.3 |
10% | 1000 | -4.3 (0.33) | 0.091 | 0.64 (0.056) | 0.021 | 0.47 (0.22) | 0.047 | 13.1 (5.4) | 1.3 |
15% | 1000 | -4.3 (0.33) | 0.10 | 0.64 (0.057) | 0.022 | 0.46 (0.23) | 0.058 | 13.1 (5.6) | 1.5 |
25% | 1000 | -4.3 (0.35) | 0.13 | 0.64 (0.060) | 0.026 | 0.46 (0.24) | 0.064 | 13.9 (6.4) | 2.4 |
50%5 | 990 | -4.3 (0.37) | 0.20 | 0.65 (0.064) | 0.041 | 0.42 (0.25) | 0.10 | 14.1 (7.4) | 2.7 |
75%5 | 846 | -4.3 (0.39) | 0.31 | 0.65 (0.068) | 0.060 | 0.41 (0.30) | 0.14 | 15.0 (9.9) | 3.6 |
MAR0 OR=3 | |||||||||
5% | 1000 | -4.1 (0.33) | 0.17 | 0.58 (0.056) | 0.047 | 0.46 (0.24) | 0.067 | 14.7 (6.7) | 2.3 |
10% | 1000 | -4.2 (0.33) | 0.084 | 0.61 (0.056) | 0.018 | 0.47 (0.23) | 0.051 | 13.5 (5.9) | 1.6 |
15% | 1000 | -4.3 (0.33) | 0.10 | 0.62 (0.057) | 0.021 | 0.46 (0.25) | 0.076 | 13.4 (6.2) | 1.5 |
25% | 986 | -4.2 (0.34) | 0.13 | 0.61 (0.059) | 0.027 | 0.41 (0.27) | 0.11 | 14.5 (7.3) | 2.7 |
50%5 | 821 | -4.0 (0.35) | 0.25 | 0.58 (0.063) | 0.047 | 0.36 (0.29) | 0.15 | 14.9 (11.0) | 3.8 |
75%5 | 536 | -4.0 (0.37) | 0.32 | 0.58 (0.067) | 0.069 | 0.44 (0.52) | 0.19 | 16.1 (20.3) | 4.6 |
MAR1 OR=1/3 | |||||||||
5% | 1000 | -4.8 (0.34) | 0.48 | 0.72 (0.059) | 0.096 | 0.50 (0.23) | 0.033 | 12.6 (5.0) | 1.1 |
10% | 1000 | -4.9 (0.38) | 0.61 | 0.75 (0.065) | 0.12 | 0.51 (0.24) | 0.041 | 12.4 (5.1) | 1.2 |
15% | 1000 | -5.1 (0.38) | 0.85 | 0.79 (0.066) | 0.17 | 0.52 (0.25) | 0.052 | 12.1 (5.0) | 1.5 |
25% | 1000 | -5.4 (0.40) | 1.08 | 0.84 (0.071) | 0.22 | 0.53 (0.26) | 0.060 | 11.2 (4.7) | 1.9 |
50%5 | 1000 | -5.6 (0.45) | 1.30 | 0.88 (0.080) | 0.26 | 0.54 (0.29) | 0.081 | 10.5 (4.6) | 2.5 |
75%5 | 995 | -5.8 (0.51) | 1.52 | 0.93 (0.090) | 0.30 | 0.52 (0.32) | 0.093 | 10.5 (5.2) | 2.8 |
MAR1 OR=3 | |||||||||
5% | 1000 | -4.1 (0.33) | 0.17 | 0.57 (0.055) | 0.051 | 0.46 (0.24) | 0.069 | 14.5 (6.7) | 2.4 |
10% | 990 | -4.0 (0.33) | 0.28 | 0.54 (0.057) | 0.079 | 0.43 (0.25) | 0.087 | 15.4 (8.0) | 2.9 |
15% | 934 | -3.9 (0.33) | 0.39 | 0.52 (0.058) | 0.10 | 0.42 (0.26) | 0.10 | 15.8 (8.7) | 3.4 |
25% | 880 | -3.7 (0.34) | 0.54 | 0.45 (0.058) | 0.17 | 0.44 (0.30) | 0.10 | 14.6 (8.0) | 2.8 |
50%5 | 644 | -3.4 (0.34) | 0.85 | 0.36 (0.059) | 0.26 | 0.46 (0.35) | 0.14 | 15.7 (11.2) | 3.7 |
75%5 | 566 | -3.1 (0.33) | 1.18 | 0.25 (0.062) | 0.37 | 0.57 (0.50) | 0.16 | 13.6 (12.6) | 3.6 |
MNAR OR=1/3 | |||||||||
5% | 1000 | -4.2 (0.31) | 0.064 | 0.62 (0.052) | 0.0087 | 0.49 (0.22) | 0.026 | 13.2 (5.3) | 0.9 |
10% | 1000 | -4.2 (0.32) | 0.092 | 0.62 (0.053) | 0.011 | 0.49 (0.22) | 0.038 | 13.3 (5.3) | 1.2 |
15% | 1000 | -4.1 (0.32) | 0.17 | 0.62 (0.054) | 0.015 | 0.48 (0.22) | 0.045 | 13.4 (5.6) | 1.4 |
25% | 1000 | -4.1 (0.33) | 0.22 | 0.62 (0.056) | 0.018 | 0.46 (0.23) | 0.064 | 13.7 (6.0) | 1.8 |
50%5 | 972 | -3.7 (0.33) | 0.62 | 0.60 (0.057) | 0.033 | 0.40 (0.23) | 0.12 | 14.7 (7.3) | 2.8 |
75%5 | 727 | -3.3 (0.34) | 0.98 | 0.59 (0.061) | 0.051 | 0.34 (0.24) | 0.18 | 15.4 (10.1) | 3.9 |
MNAR OR=3 | |||||||||
5% | 1000 | -4.4 (0.32) | 0.097 | 0.63 (0.055) | 0.014 | 0.47 (0.22) | 0.045 | 13.0 (5.3) | 1.3 |
10% | 1000 | -4.5 (0.34) | 0.18 | 0.63 (0.056) | 0.023 | 0.49 (0.24) | 0.057 | 13.6 (5.9) | 1.8 |
15% | 1000 | -4.5 (0.40) | 0.26 | 0.63 (0.061) | 0.028 | 0.47 (0.25) | 0.074 | 13.6 (6.3) | 2.3 |
25% | 983 | -4.7 (0.40) | 0.39 | 0.64 (0.067) | 0.040 | 0.45 (0.29) | 0.11 | 13.3 (7.0) | 3.0 |
50%5 | 727 | -5.0 (0.45) | 0.46 | 0.64 (0.080) | 0.046 | 0.50 (0.46) | 0.14 | 13.9 (11.8) | 3.6 |
75%5 | 485 | -5.3 (0.55) | 0.98 | 0.63 (0.096) | 0.10 | 1.16 (5.5) | 0.67 | 15.9 (27.3) | 4.5 |