diff --git a/R/aedseo.R b/R/aedseo.R
index 32c2227..dae5ed4 100644
--- a/R/aedseo.R
+++ b/R/aedseo.R
@@ -13,9 +13,14 @@
 #' @param level The confidence level for parameter estimates, a numeric value
 #' between 0 and 1.
 #' @param disease_threshold An integer specifying the threshold for considering
-#' a disease outbreak.
+#' a disease outbreak. It defines the per time-step disease threshold that has
+#' to be surpassed to possibly trigger a seasonal onset alarm. If the total
+#' number of cases in a window of size k exceeds  `disease_threshold * k`,
+#' a seasonal onset alarm can be triggered.
 #' @param family A character string specifying the family for modeling.
 #' Choose between "poisson," or "quasipoisson".
+#' @param na_fraction_allowed Numeric value specifying the fraction of
+#' observables in the window of size k that are allowed to be NA.
 #'
 #' @return A `aedseo` object containing:
 #'   - 'reference_time': The time point for which the growth rate is estimated.
@@ -32,6 +37,7 @@
 #'   disease threshold?
 #'   - 'seasonal_onset_alarm': Logical. Is there a seasonal onset alarm?
 #'   - 'converged': Logical. Was the IWLS judged to have converged?
+#'   - 'skipped_window': Logical. Was the window skipped due to missing?
 #'
 #' @export
 #'
@@ -56,7 +62,8 @@
 #'   k = 3,
 #'   level = 0.95,
 #'   disease_threshold = 200,
-#'   family = "poisson"
+#'   family = "poisson",
+#'   na_fraction_allowed = 0.4,
 #' )
 #'
 #' # Print the AEDSEO results
@@ -70,7 +77,8 @@ aedseo <- function(
       "poisson",
       "quasipoisson"
       # TODO: #10 Include negative.binomial regressions. @telkamp7
-    )) {
+    ),
+    na_fraction_allowed = 0.4) {
   # Throw an error if any of the inputs are not supported
   family <- rlang::arg_match(family)
 
@@ -79,26 +87,35 @@ aedseo <- function(
 
   # Allocate space for growth rate estimates
   res <- tibble::tibble()
+  skipped_window <- base::rep(FALSE, base::nrow(tsd))
 
   for (i in k:n) {
     # Index observations for this iteration
     obs_iter <- tsd[(i - k + 1):i, ]
 
-    # Calculate growth rates
-    growth_rates <- fit_growth_rate(
-      observations = obs_iter$observed,
-      level = level,
-      family = family
-    )
+    # Evaluate NA values in windows
+    if (sum(is.na(obs_iter)) >= k * na_fraction_allowed) {
+      skipped_window[i] <- TRUE
+      # Set fields to NA since the window is skipped
+      growth_rates <- list(estimate = c(NA, NA, NA),
+                           fit = list(converged = FALSE))
+    } else {
+      # Calculate growth rates
+      growth_rates <- fit_growth_rate(
+        observations = obs_iter$observed,
+        level = level,
+        family = family
+      )
+    }
 
     # See if the growth rate is significantly higher than zero
     growth_warning <- growth_rates$estimate[2] > 0
 
     # Calculate Sum of Cases (sum_of_cases)
-    sum_of_cases <- base::sum(obs_iter$observed)
+    sum_of_cases <- base::sum(obs_iter$observed, na.rm = TRUE)
 
     # Evaluate if sum_of_cases exceeds disease_threshold
-    sum_of_cases_warning <- sum_of_cases > disease_threshold
+    sum_of_cases_warning <- sum_of_cases > (disease_threshold * k)
 
     # Give an seasonal_onset_alarm if both criteria are met
     seasonal_onset_alarm <- growth_warning & sum_of_cases_warning
@@ -116,6 +133,7 @@ aedseo <- function(
         sum_of_cases = sum_of_cases,
         sum_of_cases_warning = sum_of_cases_warning,
         seasonal_onset_alarm = seasonal_onset_alarm,
+        skipped_window = skipped_window[i],
         converged = growth_rates$fit$converged
       )
     )
diff --git a/man/aedseo.Rd b/man/aedseo.Rd
index 576ffa7..e6611b8 100644
--- a/man/aedseo.Rd
+++ b/man/aedseo.Rd
@@ -9,7 +9,8 @@ aedseo(
   k = 5,
   level = 0.95,
   disease_threshold = NA_integer_,
-  family = c("poisson", "quasipoisson")
+  family = c("poisson", "quasipoisson"),
+  na_fraction_allowed = 0.4
 )
 }
 \arguments{
@@ -26,6 +27,9 @@ a disease outbreak.}
 
 \item{family}{A character string specifying the family for modeling.
 Choose between "poisson," or "quasipoisson".}
+
+\item{na_fraction_allowed}{A fraction that determines how many NA values
+that are allowed in the observations for each k window}
 }
 \value{
 A \code{aedseo} object containing:
@@ -43,6 +47,7 @@ zero?
 \item 'sum_of_cases_warning': Logical. Does the Sum of Cases exceed the
 disease threshold?
 \item 'seasonal_onset_alarm': Logical. Is there a seasonal onset alarm?
+\item 'skipped_window': Logical. Was the window skipped?
 \item 'converged': Logical. Was the IWLS judged to have converged?
 }
 }
@@ -74,7 +79,8 @@ aedseo_results <- aedseo(
   k = 3,
   level = 0.95,
   disease_threshold = 200,
-  family = "poisson"
+  family = "poisson",
+  na_fraction_allowed = 0.4
 )
 
 # Print the AEDSEO results
diff --git a/tests/testthat/test-aedseo.R b/tests/testthat/test-aedseo.R
index 36ab2d0..34b247e 100644
--- a/tests/testthat/test-aedseo.R
+++ b/tests/testthat/test-aedseo.R
@@ -25,16 +25,78 @@ test_that("The growth rate models converge", {
     tsd = tsd_data_poisson,
     k = 3,
     level = 0.95,
-    family = "poisson"
+    family = "poisson",
+    disease_threshold = 20,
+    na_fraction_allowed = 0.2
   )
   aedseo_quasipoisson <- aedseo(
     tsd = tsd_data_nbinom,
     k = 3,
     level = 0.95,
-    family = "quasipoisson"
+    family = "quasipoisson",
+    disease_threshold = 20,
+    na_fraction_allowed = 0.2
   )
 
   # Check if they all converge
   expect_true(object = all(aedseo_poisson$converged))
   expect_true(object = all(aedseo_quasipoisson$converged))
 })
+
+test_that("Test if it works with weeks with NA values", {
+  from_date <- as.Date("2021-01-01")
+  to_date <- as.Date("2021-01-31")
+
+  # Choose some time dates
+  time <- seq.Date(from = from_date, to = to_date, by = "day")
+
+  # Count the number of observations
+  n <- length(time)
+
+  # Add NA values to observed
+  na_count <- 15
+
+  # Randomly select indices to replace with NA
+  na_indices <- sample(1:n, na_count, replace = FALSE)
+
+  # Create observable
+  observed <- rpois(n = n, lambda = 1:n)
+
+  # Add NA values
+  observed[na_indices] <- NA
+
+  # Data
+  tsd_data_poisson_na <- tsd(
+    observed = observed,
+    time = time,
+    time_interval = "day"
+  )
+
+  # Calculate AEDSEO with a 3-day window
+  aedseo_poisson_na <- aedseo(
+    tsd = tsd_data_poisson_na,
+    k = 3,
+    level = 0.95,
+    family = "poisson",
+    disease_threshold = 20,
+    na_fraction_allowed = 0.4
+  )
+
+  # Test if correct amount of windows with NA are skipped
+  k <- 3
+  na_fraction_allowed <- 0.4
+  n <- base::nrow(tsd_data_poisson_na)
+  skipped_window_count <- 0
+
+  for (i in k:n) {
+    obs_iter <- tsd_data_poisson_na[(i - k + 1):i, ]
+    if (sum(is.na(obs_iter)) >= k * na_fraction_allowed) {
+      skipped_window_count <- skipped_window_count + 1
+    }
+  }
+
+  # Not all will be converged due to NA injections
+  expect_false(all(aedseo_poisson_na$converged))
+  # Count if the skipped windows are = ones in output
+  expect_equal(skipped_window_count, sum(aedseo_poisson_na$skipped_window))
+})
diff --git a/vignettes/aedseo_introduction.Rmd b/vignettes/aedseo_introduction.Rmd
index 29d92df..8a6c3be 100644
--- a/vignettes/aedseo_introduction.Rmd
+++ b/vignettes/aedseo_introduction.Rmd
@@ -174,7 +174,7 @@ In the following figure, the simulated data (solid circles) is visualized alongs
 plot(tsd_data)
 ```
 
-Next, the time series data object is passed to the `aedseo()` function. Here, a window width of $k=5$ is specified, meaning that a total of 5 weeks is used in the local estimate of the exponential growth rate. Additionally, a 95\% confidence interval is specified. Finally, the exponential growth rate is estimated using quasi-Poisson regression to account for overdispersion in the data.
+Next, the time series data object is passed to the `aedseo()` function. Here, a window size of `k=5` is specified, meaning that a total of 5 weeks is used in the local estimate of the exponential growth rate. `na_fraction_allowed = 0.4` defines how large a fraction of observables in the k window that are allowed to be NA, here $0.4*5 = 2$ observables. Additionally, a 95\% confidence interval is specified. Finally, the exponential growth rate is estimated using quasi-Poisson regression to account for overdispersion in the data.
 
 ```{r}
 # Apply the 'aedseo' algorithm
@@ -183,7 +183,8 @@ aedseo_results <- aedseo(
   k = 5,
   level = 0.95,
   disease_threshold = 2000,
-  family = "quasipoisson"
+  family = "quasipoisson",
+  na_fraction_allowed = 0.4
 )
 ```