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