Simulated one-titre antibody data

A simulated dataset containing 5000 independent observations on antibody titres and the corresponding infection status. The data was simulated to resemble real influenza infection and haemagglutinin titre data.

one_titre_data

Format

A data frame with 5000 observations and 2 variables:

logHI

haemagglutinin-inhibiting (HI) titre. True simulated titre on a log scale.

status

influenza infection status. 1 - infected. 0 - not infected

Model

The model behind the simulation was

$$\lambda * (1 - f(\beta_0 + \beta_1 * HI))$$

Where

  • \(f\) - Inverse logit function

  • \(\lambda\) = 0.5

  • \(\beta_0\) = -5

  • \(\beta_1\) = 2