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Table 1 Some measures of dispersion of four illustrative distributions of psychiatric services

From: Measuring inequality: tools and an illustration

Absolute and Relative Consumption of Psychiatric Services in Each Time Period Total Psych. Services Measures of Location Measures of Dispersion
  (1) MN (a) (2) MD (a) (3) RNG (a) (4) SD (a) (5) CoV (a) (6) RMD (a) (7) Gini (a) (8) Theil (a) (9) Atkinson (a) (10)
            A0.25 A0.75
PS 1 TIME PERIOD 1 (11 persons) Absolute Consumption of Psych. Services: 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6 21 units 1.91 1.00 0–6 2.256 1.18 - - - - -
  Relative Consumption of Psych. Services (%): 4.8, 0, 9.5, 0, 14.3, 0, 19.0, 0, 23.8, 0, 28.6 100% - - - - - -0.005 0.64 0.319 0.2106 0.8538
PS 2 TIME PERIOD 2 (11 persons) Absolute Consumption of Psych. Services: 2, 0, 4, 0, 6, 0, 8, 0, 10, 0, 12 42 units 1.91 2.00 0 – 12 4.513 1.18 - - - - -
  Relative Consumption of Psych. Services (%): 4.8, 0, 9.5, 0, 14.3, 0, 19.0, 0, 23.8, 0, 28.6 100% - - - - - -0.005 0.64 0.319 0.2106 0.8550
PS 3 TIME PERIOD 3 (11 persons) Absolute Consumption of Psych. Services: 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3 42 units 3.82 4.00 3 – 4 0.405 0.11 - - - - -
  Relative Consumption of Psych. Services (%): 7.1, 9.5, 9.5, 9.5, 9.5, 9.5, 9.5, 9.5, 9.5, 9.5, 7.1 100% - - - - - -0.005 0.03 0.002 0.0019 0.0047
PS 4 TIME PERIOD 4 (12 persons) Absolute Consumption of Psych. Services: 2, 0, 4, 0, 6, 0, 8, 0, 10, 0, 12, 3 45 units 3.75 2.50 0 – 12 4.309 1.15 - - - - -
  Relative Consumption of Psych. Services (%): 4.4, 0, 8.9, 0, 13.3, 0, 17.8, 0, 22.2, 0, 26.7, 6.7 100% - - - - - 0.000 0.38 0.286 0.2109 0.9942
  1. Notes: (a) MN – mean; MD – median; RNG – range; SD – standard deviation; CoV – coefficient of variation; RMD – relative mean deviation; Gini – Gini coefficient; Theil – Theil index of entropy; Atkinson – Atkinson measure of inequality.