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Table 4 K-anonymity for each perturbation and with different amounts of data release

From: Measuring the impact of spatial perturbations on the relationship between data privacy and validity of descriptive statistics

Perturbation method 100% of data 75% of data 50% of data
Points per km2 K < 10 K < 5 Min K Mean K Points per km2 K < 10 K < 5 Min K Mean K Points per km2 K < 10 K < 5 Min K Mean K
Original data 211.27 1 0.9938 1 1.3699 158.48 1 1 1 1.2745 105.63 1 1 1 1.1798
Random perturbation 50 m 211.27 0.7509 0.5395 1 6.9993 158.48 0.8183 0.6093 1 5.4984 105.63 0.9042 0.7057 1 3.9531
Random perturbation 250 m 211.27 0.1309 0.0644 1 77.2057 158.48 0.1669 0.0839 1 58.9595 105.63 0.2267 0.1146 1 38.7753
Random perturbation 500 m 211.27 0.0415 0.0173 1 219.025 158.48 0.0523 0.0263 1 166.9783 105.63 0.078 0.0365 1 110.491
Random weighted perturbation 5 NN 211.27 0.9672 0.7738 1 3.3728 158.48 0.9839 0.8515 1 2.7956 105.63 0.9921 0.9328 1 2.1738
Random weighted perturbation 50 NN 211.27 0.2326 0.0928 1 26.1316 158.48 0.3041 0.132 1 19.9167 105.63 0.4385 0.1951 1 14.0489
Donut between 5 and 50 m 211.27 0.7565 0.5323 1 6.9296 158.48 0.8209 0.6017 1 5.4299 105.63 0.9111 0.7195 1 3.9086
Donut between 50 and 250 m 211.27 0.1015 0.042 1 78.3049 158.48 0.1389 0.0579 1 60.0471 105.63 0.2084 0.0928 1 39.7427
Affine shear 211.27 0.0654 0.0331 1 537.758 158.48 0.0787 0.0395 1 407.0853 105.63 0.1012 0.0553 1 272.196
Voronoi masked 211.27 1 0.9911 1 1.902 158.48 1 0.999 1 1.681 105.63 1 1 1 1.4538
Grid center w/100 m cells 211.27 0.4852 0.2309 1 16.3402 158.48 0.5329 0.2956 1 12.7643 105.63 0.6405 0.4227 1 8.5289
Grid center w/250 m cells 211.27 0.0881 0.0393 1 66.0889 158.48 0.1172 0.055 1 50.1178 105.63 0.1936 0.0894 1 33.7496
Grid line w/100 m cells 211.27 0.8333 0.636 1 5.3649 158.48 0.8756 0.7143 1 4.2074 105.63 0.9467 0.7975 1 3.1274
Grid line w/250 m cells 211.27 0.4743 0.2859 1 19.6706 158.48 0.5467 0.3377 1 15.1968 105.63 0.6563 0.4163 1 10.1891
Perturbation method 25% of data 10% of data
Points per km2 K < 10 K < 5 Min K Mean K Points per km2 K < 10 K < 5 Min K Mean K
Original data 52.79 1 1 1 1.081 21.13 1 1 1 1.0346
Random perturbation 50 m 52.79 0.9901 0.8913 1 2.3241 21.13 1 0.963 1 1.6296
Random perturbation 250 m 52.79 0.3893 0.2243 1 19.2826 21.13 0.6321 0.3877 1 9.3901
Random perturbation 500 m 52.79 0.1492 0.0731 1 56.6166 21.13 0.2988 0.1728 1 22.8
Random weighted perturbation 5 NN 52.79 0.999 0.9832 1 1.6136 21.13 1 0.9951 1 1.2864
Random weighted perturbation 50 NN 52.79 0.7658 0.4071 1 7.1897 21.13 0.958 0.7432 1 3.5259
Donut between 5 and 50 m 52.79 0.9881 0.8498 1 2.4496 21.13 1 0.9704 1 1.6074
Donut between 50 and 250 m 52.79 0.3607 0.167 1 19.3142 21.13 0.6222 0.3506 1 9.6173
Affine shear 52.79 0.1542 0.0939 1 136.2579 21.13 0.2049 0.1432 1 53.4469
Voronoi masked 52.79 1 1 1 1.2036 21.13 1 1 1 1.1111
Grid center w/100 m cells 52.79 0.8794 0.6077 1 4.6285 21.13 0.9753 0.8272 1 2.7086
Grid center w/250 m cells 52.79 0.3745 0.1611 1 16.5237 21.13 0.7062 0.3679 1 7.9877
Grid line w/100 m cells 52.79 0.999 0.9328 1 1.9713 21.13 1 0.9827 1 1.4889
Grid line w/250 m cells 52.79 0.83 0.6047 1 5.4229 21.13 0.9506 0.7975 1 3.0469
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International Journal of Health Geographics

ISSN: 1476-072X

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