Table 1 Evaluation of ordinary kriging and ordinary cokriging with various combinatorial approaches (evaluation results of top 10 best methods for each class of PTB prevalence)
Variable | Covariable | Type of detrending | Anisotropy | Model | Prediction errors | Rank | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Mean | RMS | Meanstan | RMSStan | ASE | RMS | AbsMeanStan | RMSStan | RMSASE | Total | |||||
Smear positive PTB prevalence | HDI + Elevation | Global | TRUE | K-Bessel | 0.07657 | 94.16 | 0.0006996 | 1.031 | 91.36 | 44.5 | 14.0 | 14.5 | 15.5 | 88.5 |
HDI + Elevation | Neighborhood | TRUE | K-Bessel | −0.02200 | 94.12 | −0.0002937 | 1.037 | 90.83 | 40.0 | 6.0 | 46.5 | 43.5 | 136.0 | |
HDI + Elevation | Local | TRUE | Stable | −0.08795 | 93.82 | −0.0009434 | 1.038 | 90.47 | 15.5 | 21.0 | 53.0 | 49.5 | 139.0 | |
HDI + Elevation | Local | TRUE | Gaussian | −0.12560 | 93.95 | −0.0013150 | 1.037 | 90.63 | 29.0 | 36.0 | 46.5 | 48.0 | 159.5 | |
HDI | Local | TRUE | Pentaspherical | 0.05834 | 93.54 | 0.0006271 | 1.044 | 89.66 | 1.0 | 12.0 | 79.0 | 76.0 | 168.0 | |
HDI | Global | TRUE | Stable | 0.27480 | 94.02 | 0.0027300 | 1.028 | 91.52 | 34.0 | 122.0 | 10.0 | 9.0 | 175.0 | |
HDI | Neighborhood | TRUE | Stable | 0.24590 | 93.87 | 0.0025130 | 1.033 | 90.94 | 22.5 | 110.0 | 22.5 | 23.0 | 178.0 | |
HDI + Elevation | Neighborhood | TRUE | Gaussian | 0.05429 | 94.30 | 0.0005347 | 1.038 | 90.88 | 68.0 | 10.0 | 53.0 | 55.0 | 186.0 | |
HDI + Elevation | Local | TRUE | Pentaspherical | 0.19470 | 93.57 | 0.0021250 | 1.039 | 90.08 | 2.5 | 78.0 | 56.5 | 59.0 | 196.0 | |
HDI + Elevation | Global | TRUE | Stable | 0.28060 | 94.13 | 0.0028940 | 1.031 | 91.33 | 41.5 | 131.0 | 14.5 | 15.5 | 202.5 | |
Mycobacterium positive PTB prevalence | HDI + Elevation | Global | TRUE | J-Bessel | 0.87820 | 151.0 | 0.00587800 | 1.089 | 138.2 | 8.0 | 105.0 | 1.0 | 1.0 | 115.0 |
Global | TRUE | Stable | 0.24530 | 152.7 | 0.00135700 | 1.100 | 138.5 | 139.0 | 16.0 | 12.5 | 11.0 | 178.5 | ||
HDI | Global | TRUE | J-Bessel | 0.25230 | 152.6 | 0.00124300 | 1.107 | 137.4 | 127.5 | 13.0 | 28.0 | 28.0 | 196.5 | |
Elevation | Global | TRUE | Hole Effect | 0.84340 | 152.3 | 0.00561100 | 1.094 | 138.8 | 103.0 | 95.0 | 2.0 | 2.0 | 202.0 | |
HDI | Global | TRUE | Hole Effect | 0.07334 | 152.8 | −0.00008275 | 1.106 | 137.7 | 149.0 | 1.0 | 27.0 | 27.0 | 204.0 | |
Elevation | Global | TRUE | J-Bessel | 0.85340 | 152.5 | 0.00544800 | 1.099 | 138.4 | 117.5 | 83.0 | 9.5 | 8.5 | 218.5 | |
Elevation | Global | TRUE | K-Bessel | 0.46630 | 153.0 | 0.00294700 | 1.101 | 138.5 | 184.5 | 31.0 | 15.5 | 16.5 | 247.5 | |
Neighborhood | TRUE | Stable | 0.32670 | 152.7 | 0.00200600 | 1.117 | 136.3 | 139.0 | 20.0 | 48.5 | 49.0 | 256.5 | ||
HDI | Neighborhood | TRUE | J-Bessel | 0.50320 | 152.3 | 0.00318000 | 1.121 | 135.4 | 103.0 | 37.0 | 64.0 | 63.5 | 267.5 | |
HDI + Elevation | Neighborhood | TRUE | J-Bessel | 1.27800 | 151.5 | 0.00886400 | 1.110 | 136.1 | 21.0 | 197.0 | 32.5 | 30.0 | 280.5 | |
Active PTB prevalence | HDI + Elevation | Global | FALSE | Pentaspherical | 0.5921 | 426.5 | 0.003456 | 1.255 | 333.5 | 28.5 | 55.0 | 44.0 | 54.5 | 182.0 |
HDI | Global | TRUE | Gaussian | 0.9281 | 432.5 | 0.002311 | 1.235 | 348.0 | 156.5 | 27.0 | 7.0 | 6.0 | 196.5 | |
HDI + Elevation | Global | FALSE | Tetraspherical | 0.8312 | 426.8 | 0.004003 | 1.251 | 335.2 | 39.0 | 76.0 | 38.5 | 46.5 | 200.0 | |
HDI | Global | TRUE | K-Bessel | 1.1140 | 432.0 | 0.002998 | 1.236 | 347.3 | 144.5 | 42.0 | 9.0 | 7.5 | 203.0 | |
HDI | Global | TRUE | Hole Effect | 0.4762 | 433.4 | 0.001026 | 1.240 | 347.2 | 171.5 | 7.0 | 14.5 | 13.5 | 206.5 | |
Global | FALSE | Tetraspherical | 0.5214 | 426.5 | 0.003206 | 1.261 | 331.9 | 28.5 | 49.0 | 55.5 | 73.5 | 206.5 | ||
HDI | Global | FALSE | Tetraspherical | 0.5249 | 426.5 | 0.003222 | 1.261 | 331.9 | 28.5 | 50.0 | 55.5 | 73.5 | 207.5 | |
HDI + Elevation | Global | FALSE | Spherical | 1.1160 | 427.2 | 0.004647 | 1.247 | 336.8 | 48.5 | 90.0 | 30.0 | 39.0 | 207.5 | |
Global | FALSE | Pentaspherical | 0.2991 | 426.2 | 0.002701 | 1.265 | 330.4 | 23.0 | 32.0 | 70.5 | 83.0 | 208.5 | ||
Global | FALSE | Spherical | 0.7560 | 426.8 | 0.003742 | 1.257 | 333.4 | 39.0 | 65.0 | 46.0 | 59.5 | 209.5 | ||