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Table 2 Global Moran’s I statistic for each of the perturbation methods

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

Perturbation method Global Moran’s I Proportion of unperturbed I Variance in I
Original data 0.49 1 0.49302
Random perturbation 50 m 0.54 0.91 0.54023
Random perturbation 250 m 0.82 0.6 0.82067
Random perturbation 500 m 0.89 0.55 0.88739
Random weighted perturbation 5 NN 0.57 0.86 0.56697
Random weighted perturbation 50 NN 0.58 0.84 0.57983
Donut between 5 and 50 m 0.55 0.89 0.54593
Donut between 50 and 250 m 0.8 0.61 0.80124
Affine shear 0.54 0.91 0.53597
Voronoi masked 0.48 1.02 0.48222
Grid center w/100 m cells 0.36 1.36 0.35639
Grid center w/250 m cells 0.3 1.63 0.30335
Grid line w/100 m cells 0.47 1.04 0.47285
Grid line w/250 m cells 0.44 1.11 0.43534