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Table 3 Health care cost of those with insomnia versus non-insomniacs

From: Insomnia - treatment pathways, costs and quality of life

Item Base Case Year of data Notes
Per capita health care resource cost ($) of all ages New Zealand population (TP$) 3,568 2008 (1)
Personal medical services ($M) 15,313 2008 (2)
Population all ages (M) 4.292 2008 (3)
Proportion of New Zealand population suffering from insomnia (Ip) 0.13   (4)
% Increase in cost per capita of those with insomnia versus non-insomniacs 18.0%   (5)
Ratio of health resource cost of those with insomnia to non-insomniacs (R) 1.18   (5)
Mean health care resource cost ($) of non-insomniacs (Y) 3,486   (6)
Mean health care resource cost ($) of those with insomnia (X) 4,114   (6)
Increase in cost per capita those with insomnia versus non-insomniacs 628   (6)
  1. Notes:
  2. Data sources
  3. (1) = (2) ÷ (3)
  4. (2) Personal medical services: excludes expenditure on prevention and public health, administration and insurance premiums [41].
  5. (3) Population: Total resident population[31]
  6. (4) [8]
  7. (5) [14, 1720]
  8. (6) Derivation of "Y" and "X" from "Ip" "R" and TP$
  9. Unknown
  10. X = Mean health care resource cost ($) of those with insomnia
  11. Y = Mean health care resource cost ($) of non-insomniacs
  12. Known (Statements S1, S2, S3)
  13. (S1): Ip = Proportion of New Zealand population suffering from insomnia, [base case 0.13]
  14. (S2): R = Ratio of health resource cost of those with insomnia to others, [base case 1.18]
  15. (S3): TP$ = Mean health care resource cost of total all ages New Zealand population, [base case $3,568]
  16. Solution
  17. (S1) and (S3) may be used to derive equation (E1): TP$ = Ip × X + [(1 - Ip) × Y] (S2) may be written as equation (E2): × = R × Y
  18. Substitute (E2) into (E1)
  19. TP$ = [Ip × R × Y] + [(1 - Ip) × Y]
  20. TP$ = Y × [(Ip × R) +1 - Ip)]
  21. Solve for Y
  22. Y = TP$/[(Ip × R) + 1 - Ip]
  23. Using base case values as an example
  24. Y = $3,568/[(0.13 × 1.18)+1-0.13] = $3,486
  25. X = ($3,486 × 1.18) = $4,114
  26. All calculations are based on unrounded data.