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-rw-r--r--R/id.R48
-rw-r--r--R/idea.R62
-rw-r--r--R/server.R4
3 files changed, 57 insertions, 57 deletions
diff --git a/R/id.R b/R/id.R
index 7e8a04d..eef66d6 100644
--- a/R/id.R
+++ b/R/id.R
@@ -1,11 +1,11 @@
-#' ID method
+#' Incidence Decay (ID)
#'
#' This function implements a least squares estimation method of R0 due to
#' Fisman et al. (PloS One, 2013). See details for implementation notes.
#'
#' The method is based on a straightforward incidence decay model. The estimate
#' of R0 is the value which minimizes the sum of squares between observed case
-#' counts and cases counts 'expected' under the model.
+#' counts and cases counts expected under the model.
#'
#' This method is based on an approximation of the SIR model, which is most
#' valid at the beginning of an epidemic. The method assumes that the mean of
@@ -14,33 +14,33 @@
#' is strongly recommended. Users should be careful about units of time (e.g.,
#' are counts observed daily or weekly?) when implementing.
#'
-#' @param NT Vector of case counts.
-#' @param mu Mean of the serial distribution. This needs to match case counts
-#' in time units. For example, if case counts are weekly and the
-#' serial distribution has a mean of seven days, then \code{mu} should
-#' be set to one. If case counts are daily and the serial distribution
-#' has a mean of seven days, then \code{mu} should be set to seven.
+#' @param cases Vector of case counts. The vector must be non-empty and only
+#' contain positive integers.
+#' @param mu Mean of the serial distribution. This must be a positive number.
+#' The value should match the case counts in time units. For example, if case
+#' counts are weekly and the serial distribution has a mean of seven days,
+#' then `mu` should be set to `1`. If case counts are daily and the serial
+#' distribution has a mean of seven days, then `mu` should be set to `7`.
#'
-#' @return \code{ID} returns a single value, the estimate of R0.
+#' @return An estimate of the basic reproduction number (R0).
+#'
+#' @references
+#' [Fisman et al. (PloS One, 2013)](
+#' https://doi.org/10.1371/journal.pone.0083622)
+#'
+#' @seealso [idea()] for a similar method.
+#'
+#' @export
#'
#' @examples
-#' # Weekly data:
-#' NT <- c(1, 4, 10, 5, 3, 4, 19, 3, 3, 14, 4)
+#' # Weekly data.
+#' cases <- c(1, 4, 10, 5, 3, 4, 19, 3, 3, 14, 4)
#'
#' # Obtain R0 when the serial distribution has a mean of five days.
-#' ID(NT, mu = 5 / 7)
+#' id(cases, mu = 5 / 7)
#'
#' # Obtain R0 when the serial distribution has a mean of three days.
-#' ID(NT, mu = 3 / 7)
-#'
-#' @export
-ID <- function(NT, mu) {
- NT <- as.numeric(NT)
- TT <- length(NT)
- s <- (1:TT) / mu
- y <- log(NT) / s
-
- R0_ID <- exp(sum(y) / TT)
-
- return(R0_ID)
+#' id(cases, mu = 3 / 7)
+id <- function(cases, mu) {
+ exp(sum((log(cases) * mu) / seq_along(cases)) / length(cases))
}
diff --git a/R/idea.R b/R/idea.R
index 53fa653..0549527 100644
--- a/R/idea.R
+++ b/R/idea.R
@@ -1,11 +1,11 @@
-#' IDEA method
+#' Incidence Decay and Exponential Adjustment (IDEA)
#'
#' This function implements a least squares estimation method of R0 due to
#' Fisman et al. (PloS One, 2013). See details for implementation notes.
#'
-#' This method is closely related to that implemented in \code{ID}. The method
-#' is based on an incidence decay model. The estimate of R0 is the value which
-#' minimizes the sum of squares between observed case counts and cases counts
+#' This method is closely related to that implemented in [id()]. The method is
+#' based on an incidence decay model. The estimate of R0 is the value which
+#' minimizes the sum of squares between observed case counts and case counts
#' expected under the model.
#'
#' This method is based on an approximation of the SIR model, which is most
@@ -15,42 +15,42 @@
#' is strongly recommended. Users should be careful about units of time (e.g.,
#' are counts observed daily or weekly?) when implementing.
#'
-#' @param NT Vector of case counts.
-#' @param mu Mean of the serial distribution. This needs to match case counts in
-#' time units. For example, if case counts are weekly and the serial
-#' distribution has a mean of seven days, then \code{mu} should be set
-#' to one. If case counts are daily and the serial distribution has a
-#' mean of seven days, then \code{mu} should be set to seven.
+#' @param cases Vector of case counts. The vector must be of length at least two
+#' and only contain positive integers.
+#' @param mu Mean of the serial distribution. This must be a positive number.
+#' The value should match the case counts in time units. For example, if case
+#' counts are weekly and the serial distribution has a mean of seven days,
+#' then `mu` should be set to `1`. If case counts are daily and the serial
+#' distribution has a mean of seven days, then `mu` should be set to `7`.
#'
-#' @return \code{IDEA} returns a single value, the estimate of R0.
+#' @return An estimate of the basic reproduction number (R0).
+#'
+#' @references
+#' [Fisman et al. (PloS One, 2013)](
+#' https://doi.org/10.1371/journal.pone.0083622)
+#'
+#' @seealso [id()] for a similar method.
+#'
+#' @export
#'
#' @examples
#' # Weekly data.
-#' NT <- c(1, 4, 10, 5, 3, 4, 19, 3, 3, 14, 4)
+#' cases <- c(1, 4, 10, 5, 3, 4, 19, 3, 3, 14, 4)
#'
#' # Obtain R0 when the serial distribution has a mean of five days.
-#' IDEA(NT, mu = 5 / 7)
+#' idea(cases, mu = 5 / 7)
#'
#' # Obtain R0 when the serial distribution has a mean of three days.
-#' IDEA(NT, mu = 3 / 7)
-#'
-#' @export
-IDEA <- function(NT, mu) {
- if (length(NT) < 2)
- print("Warning: length of NT should be at least two.")
- else {
- NT <- as.numeric(NT)
- TT <- length(NT)
- s <- (1:TT) / mu
+#' idea(cases, mu = 3 / 7)
+idea <- function(cases, mu) {
+ s <- seq_along(cases) / mu
- y1 <- log(NT) / s
- y2 <- s^2
- y3 <- log(NT)
+ x1 <- sum(s)
+ x2 <- sum(s^2)
+ x3 <- log(cases)
- IDEA1 <- sum(y2) * sum(y1) - sum(s) * sum(y3)
- IDEA2 <- TT * sum(y2) - sum(s)^2
- IDEA <- exp(IDEA1 / IDEA2)
+ y1 <- x2 * sum(x3 / s) - x1 * sum(x3)
+ y2 <- x2 * length(cases) - x1^2
- return(IDEA)
- }
+ exp(y1 / y2)
}
diff --git a/R/server.R b/R/server.R
index a2ba674..4cf87db 100644
--- a/R/server.R
+++ b/R/server.R
@@ -303,10 +303,10 @@ eval_estimator <- function(input, output, estimator, dataset) {
kappa = estimator$kappa)$Rhat, 2)
# Incidence Decay
else if (estimator$method == "ID")
- estimate <- round(ID(unlist(dataset[3]), mu = serial), 2)
+ estimate <- round(id(unlist(dataset[3]), mu = serial), 2)
# Incidence Decay with Exponential Adjustement
else if (estimator$method == "IDEA")
- estimate <- round(IDEA(unlist(dataset[3]), mu = serial), 2)
+ estimate <- round(idea(unlist(dataset[3]), mu = serial), 2)
return(estimate)
}