From: Incidence and consequences of damage to insecticide-treated mosquito nets in Kenya
Pre-existing damage | Attrition reported as due to damage | Proportion of attrition |
---|---|---|
Yes | Yes | \({\mathrm{P}}_{\mathrm{x}}\left(\mathrm{t}\right)-{\mathrm{a}}_{\mathrm{c}}\left(1-{\mathrm{P}}_{\mathrm{d}}\left(\mathrm{t}\right)\right)/\mathrm{a}\left(\mathrm{t}\right)\) |
No | Yes | \({\mathrm{a}}_{\mathrm{c}}\left(1-{\mathrm{P}}_{\mathrm{d}}\left(\mathrm{t}\right)\right)/\mathrm{a}\left(\mathrm{t}\right)\) |
Yes | No | \({\mathrm{P}}_{\mathrm{d}}\left(\mathrm{t}\right)+\frac{\left({\mathrm{a}}_{\mathrm{c}}+{\mathrm{a}}_{\mathrm{i}}{\mathrm{P}}_{\mathrm{d}}\left(\mathrm{t}\right)\right)}{\mathrm{a}\left(\mathrm{t}\right)}-{\mathrm{P}}_{\mathrm{x}}\left(\mathrm{t}\right)\) |
No | No | \(\left(1-\frac{\left({\mathrm{a}}_{\mathrm{c}}+{\mathrm{a}}_{\mathrm{i}}{\mathrm{P}}_{\mathrm{d}}\left(\mathrm{t}\right)\right)}{\mathrm{a}\left(\mathrm{t}\right)}\right)\left(1-{\mathrm{P}}_{\mathrm{d}}\left(\mathrm{t}\right)\right)\) |