Table 1 Intervention effectiveness measures, as adapted from [14]
From: Design of trials for interrupting the transmission of endemic pathogens
Measure | Intervention | Mean outcome | Comparator group | Time-dependent effectiveness measure |
|---|---|---|---|---|
number | group | intervention group | ||
Baseline comparison groups | ||||
1 | Intervened | \( \frac { \sum _{i} y(i,t)I(i,t)} {N(t)} \) | Baseline | \( \hat {e}_{1}(t) ~=~ 1 - \frac { \sum _{i} y(i,t) I(i,t)} { \overline {Y}_{b} N(T)} \) |
2 | Naive | \( \frac { \sum _{i} y(i,t)(1-I(i,t))} {N(T)- N(t)} \) | Baseline | \( \hat {e}_{2}(t)~=~ 1 - \frac { \sum _{i} y(i,t)(1-I(i,t))} {\overline {Y}_{b}(N(T)- N(t))} \) |
3 | Trial population | \( \frac { \sum _{i} y(i,t)} {N(T)} \) | Baseline | \( \hat {e}_{3}(t) ~=~ 1 - \frac { \sum _{i} y(i,t)} { \overline {Y}_{b} N(T)} \) |
Contemporaneous comparison groups | ||||
4 | Intervened | \(\frac { \sum _{i} y(i,t)I(i,t)} {N(t)}\) | Naive | \( \hat {e}_{4}(t)~=~1 - \frac {(N(T)- N(t)) \sum _{i} y(i,t)I(i,t)} {N(t) \sum _{i} y(i,t) (1-I(i,t)) }\) |
5 | Intervened | \( \frac { \sum _{i} y(i,t)I(i,t)} {N(t)} \) | Naive remote from intervention | \( \hat {e}_{5}(t) ~= ~1 - \frac {\sum _{i}y(i,t)I(i,t) \sum _{i} (1-I^{*}(i,t))} { N(t) \sum _{i} y(i,t)(1-I^{*}(i,t))} \) |
6 | Naive close to | \( \frac { \sum _{i} y(i,t)(1-I(i,t))I^{*}(i,t)} { \sum _{i} (1-I(i,t))I^{*}(i,t)} \) | Naive remote from intervention | \( \hat {e}_{5}(t) ~= ~1 - \frac {\sum _{i} y(i,t)(1-I(i,t))I^{*}(i,t) \sum _{i} (1-I^{*}(i,t))} {\sum _{i} y(i,t)(1-I(i,t))I^{*}(i,t) \sum _{i} y(i,t)(1-I^{*}(i,t))} \) |
intervention | ||||