Table 2 Overview of the different scenarios, corresponding log-likelihood functions and parasitaemia data that is included in the analyses
Scenario | Log-likelihood function | Parasitaemia data |
|---|---|---|
1 | \(ll_{1}(\varvec{\beta }, \varvec{\theta } | \varvec{y}, \varvec{X}) = \sum _{i = 1}^{n}{\log \left[ L_{1j}(\varvec{\beta }, \varvec{\theta } | \varvec{y}_{i}, \varvec{x}_i)\right] }\) | Routine |
2 | \(ll_{1}(\varvec{\beta }, \varvec{\theta } | \varvec{y}, \varvec{X}) = \sum _{i = 1}^{n}{\log \left[ L_{1j}(\varvec{\beta }, \varvec{\theta } | \varvec{y}_{i}, \varvec{x}_i)\right] }\) | Routine & clinical\(^{*}\) |
3 | \(ll_{2}(\varvec{\zeta }, \varvec{\vartheta } | \varvec{t}, \varvec{y}, \varvec{a}, \varvec{X}) = \sum _{i = 1}^{n}{\log \left[ L_{2i}(\varvec{\zeta }, \varvec{\vartheta } | \varvec{t}_{i}, \varvec{y}_i, \varvec{a}_{i}, \varvec{x}_i)\right] }\) | Clinical |
4 | \(ll_{3}(\varvec{\beta }, \varvec{\theta }, \varvec{\zeta }, \varvec{\vartheta } | \varvec{t}, \varvec{y}, \varvec{a}, \varvec{X}) = \sum _{i = 1}^{n}{\log \left[ L_{3i}(\varvec{\beta }, \varvec{\theta }, \varvec{\zeta }, \varvec{\vartheta } | \varvec{t}_{i}, \varvec{y}_i, \varvec{a}_{i}, \varvec{x}_i)\right] }\) | Routine & clinical |