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Table 6 Categorization of attrited nets by physical integrity at time point of attrition

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

\(\left(1-\frac{\left({\mathrm{a}}_{\mathrm{c}}+{\mathrm{a}}_{\mathrm{i}}{\mathrm{P}}_{\mathrm{d}}\left(\mathrm{t}\right)\right)}{\mathrm{a}\left(\mathrm{t}\right)}\right)\left(1-{\mathrm{P}}_{\mathrm{d}}\left(\mathrm{t}\right)\right)\)