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. 2012 Dec 28;1(3):222–228. doi: 10.4081/jphr.2012.e35

Table 2.

Variables and formula for Disability Adjusted Life Years (DALYs) and basic formulation for Quality-Adjusted Life Years (QALYs).

Description Unit Symbol
Years of life lost due to death before expectation of life had the disease not occurred years YLL
Years lost due to disability multiplied by disability weight years YLD
Number of deaths number N
Number of incident cases number I
Life expectation or duration of disability years DW
Discount rate % r
Age-weighting correction constant 0.1658 C
Parameter for age-weighting function 0.04 b
Age at onset of disease years a
Parameter for setting age-weighting 1 or 0 K
DALY = YLL + YLD where YLL = N Ce(ra) / ( +r)2 [e (+r)(L+a) [-( +r) (L+a)-1] - e (+r)a [–( r)a-1]]
YLD = I DW { K Ce(ra) / ( +r)2 [e (+r)(L+a) [-( + r)(L+a)-1] - e (+r)a [–( r)a-1]] + (1-K) (L/r) (1– e rL )}
QALYs (basic formulation) QALY = Life years lived (duration) x quality of life (health state) indicator°

°These would be based on a number of different quality of life scales.2,3