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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
  1. 1Simulation scenarios described in the Methods section.
  2. 2Square root of the median of (est. incomplete data - est. complete data) 2.
  3. 3log(Herd size).
  4. 4Range of influence in km.
  5. 5Precision of prior distribution of hyperpar. changed from 0.001 to 0.1.
  6. All results are medians of N data sets.