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Fig. 3 | BMC Medical Research Methodology

Fig. 3

From: When a joint model should be preferred over a linear mixed model for analysis of longitudinal health-related quality of life data in cancer clinical trials

Fig. 3

Representation of the hazard functions considered in the simulation study for both arms where the current HRQoL true value is set to its theoretical mean, i.e., \(\lambda \left(t| arm,\mathbb{E}\left(\left({Y}^{\star}\Big(t\right)\right)\right)={\lambda}_0(t)\exp \left\{{\gamma}_1\ arm+\alpha\ \left({\beta}_0+{\beta}_1t+{\beta}_2\left\{ arm\times t\right\}\right)\right\}\) where λ0(t) = ϕtϕ − 1 exp(γ0) with ϕ and exp(γ0) the shape and scale parameters, respectively, according to t with t the time in months and arm the treatment arm indicator. HRQoL, health-related quality of life

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