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Table 1 Percent of length reduction for 95% CI for rate ratios, from non-spatial method to spatial method with varying spatial autocorrelation scale (measured by range in semivariogram) and strength (measured by partial sill to sill proportion in semivariogram)

From: Confidence intervals for rate ratios between geographic units

  Scale of spatial autocorrelation measured by range (km)
500 (local) 1700 (regional) 4000 (global)
Strength of spatial autocorrelation
 0.1 (weak) (0, 0.004, 0.095) 0.48 (0.005, 0.039, 0.098) 1.7 (0.029, 0.067, 0.099) 2.7
 0.5 (moderate) (0, 0.02, 0.47) 2.4 (0.027, 0.19, 0.49) 9.2 (0.14, 0.33, 0.50) 14.6
 0.9 (strong) (0, 0.036, 0.85) 4.5 (0.048, 0.35, 0.89) 17.7 (0.26, 0.60, 0.89) 29.3
  1. Numbers in parentheses are the minimum (between Maine and Hawaii), median (between Florida and Oklahoma), and maximum (between Maryland and District of Columbia) pairwise correlation coefficients between regions