This package uses Poisson likelihood with a trend filtering penalty (a type of regularized nonparametric regression) to estimate the effective reproductive number, Rt. This value roughly says âhow many new infections will result from each new infection todayâ. Values larger than 1 indicate that an epidemic is growing while those less than 1 indicate decline.
InstallationYou can install the development version of rtestim from GitHub with:
# install.packages("remotes")
remotes::install_github("dajmcdon/rtestim")
Or the released version on CRAN
install.packages("rtestim")
Quick example
Here we create some data that âlooksâ like a typical wave in an epidemic. Because the model uses regularized regression, we estimate the model at a range of tuning parameters simultaneously.
set.seed(12345)
library(rtestim)
library(ggplot2)
dat <- data.frame(
Time = 1:101,
incident_cases = c(1, rpois(100, dnorm(1:100, 50, 15) * 500 + 1))
)
ggplot(dat, aes(Time, incident_cases)) +
geom_point(colour = "cornflowerblue") +
theme_bw()
We fit the model and visualize the resulting estimated sequences of \(R_t\):
mod <- estimate_rt(observed_counts = dat$incident_cases, nsol = 20)
plot(mod)
The additional parameter nsol = 20
specifies the number of tuning parameters for which \(R_t\) is estimated. A built in function for cross-validation can be used to select the tuning parameter.
mod_cv <- cv_estimate_rt(dat$incident_cases, nsol = 20)
plot(mod_cv, which_lambda = "lambda.1se")
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