From: Looking twice at the gender equity index for public health impact
Social watch gender equity index (SW) | Modified gender equity index |
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SW defines the corresponding gap between women (W) and men (M) as: \mathit{Gap}.c=\frac{\%\mathit{Wc}}{\%\mathit{Mc}}.\mathit{WF}{P}^{-1} where % Wc and % Mc are, respectively, the% of W and M with the characteristic | The MGEI compares the proportions of women and men with a particular characteristic (c) in absolute terms (difference P _{ Wc } − P _{ Mc }), standardising the result so that the “modified gap” (MGap. c) is defined as: |
(c), and \mathit{WFP}=\frac{\mathit{Po}{p}_{W}}{\mathit{Po}{p}_{M}} is the weight of the female population. | \mathit{MGap}.c=\frac{{P}_{\mathit{Wc}}-{P}_{\mathit{Mc}}}{{P}_{\mathit{Wc}}+{P}_{\mathit{Mc}}} |
This expression of the gender gap is simplified by replacing the inverse value of the weight of the female population: \begin{array}{l}\mathit{Gap}.c=\frac{\%\mathit{Wc}}{\%\mathit{Mc}}.\frac{\mathit{Po}{p}_{M}}{\mathit{Po}{p}_{W}}=\frac{\mathit{Wc}.100/\mathit{Pop}}{\mathit{Mc}.100/\mathit{Pop}}.\frac{\mathit{Po}{p}_{M}}{\mathit{Po}{p}_{W}}\\ =\frac{\mathit{Wc}}{\mathit{Mc}}.\frac{\mathit{Po}{p}_{M}}{\mathit{Po}{p}_{W}}=\frac{\mathit{Wc}}{\mathit{Po}{p}_{W}}.\frac{\mathit{Po}{p}_{M}}{\mathit{Wc}}\end{array}
Where Pop is the total population. | The proportions have values of between 0 and 1, from which it results that: − (P _{ Wc } + P _{ Mc }) ≤ P _{ Wc } − P _{ Mc } ≤ P _{ Wc } + P _{ Mc }, whilst dividing by P _{ Wc } + P _{ Mc } results in − 1 ≤ MGap. c ≤ 1. |
If {P}_{\mathit{Mc}}=\frac{\mathit{Wc}}{\mathit{Po}{p}_{W}} and {P}_{\mathit{Mc}}=\frac{\mathit{Mc}}{\mathit{Po}{p}_{M}} are respectively the proportions of W and M with a particular characteristic (c) out of their corresponding totals, the gap suggested by SW allows the following formulation: \mathit{Gap}.c=\frac{{P}_{\mathit{Wc}}}{{P}_{\mathit{Mc}}} | |
Once the gender gap has been calculated, the GEI is calculated as the arithmetic mean of the 3 gaps:\mathit{GEI}=\frac{\mathit{Empowerment}.\mathit{Gap}+\mathit{Economic}.\mathit{Act}.\mathit{Gap}.+\mathit{Education}.\mathit{Gap}}{3} | |
Social Watch GEI values: 0 (inequity) - 1 (gender equity) |
Modified GEI values: - 1 (Women inequity) 0 (equity) 1 (Men inequity) |