Slides: https://www.andreashandel.com/presentations/
2022-09-10 12:46:16
Question: What is the impact of standard dose (SD) versus high dose (HD) vaccine on antibodies, especially against non-vaccine strains?
We investigate 4 antibody titer outcomes for each strain:
HAI values are converted to be between 0 - N, with limit of detection = 0, lowest dilution (1:10) = 1, up to highest dilution (1:20480) = 12.
Multilevel Bayesian mixed effects models. Mix of fixed and pooled/adaptive priors.
\(\begin{aligned} Y_{ij} & \sim \textrm{Normal}(\mu_{ij}, \sigma) \\ \mu_{ij} & = \alpha_{ID[i]} + \beta_{dose} DOSE_i \\ & + \beta_{age} AGE_i + \beta_{p} PHAI_{i,j} \\ & + \beta_{sex} SEX_i + \beta_{race} RACE_i \end{aligned}\)
Notation: i: individuals, j: strains.
For research (in progress):