When it is necessary to allocate a week to a single month, the rule for first week of the year might be applied, although ISO 8601 does not consider this case. (Wikipedia)
For example, the 5th week of 2007 belongs to February, because the Thursday of the 5th week was the 1st of February.
I am using data.table
and ISOweek
packages. See the example how to compute the month of the week. Then you can do any aggregation by month.
require(data.table)
require(ISOweek)
df2 <- data.table(Year = c("2007"), Week = c(1:12),
Measurement = c(rnorm(12, mean = 4, sd = 1)))
# Generate Thursday as year, week of the year, day of week according to ISO 8601
df2[, thursday_ISO := paste(Year, sprintf("W%02d", Week), 4, sep = "-")]
# Convert Thursday to date format
df2[, thursday_date := ISOweek2date(thursday_ISO)]
# Compute month
df2[, month := format(thursday_date, "%m")]
df2
Suggestion by Uwe to compute a year-month string.
# Compute year-month
df2[, yr_mon := format(ISOweek2date(sprintf("%s-W%02d-4", Year, Week)), "%Y-%m")]
df2
And finally you can do an aggregation to the new table or by adding median as a column.
df2[, median(Measurement), by = yr_mon]
df2[, median := median(Measurement), by = yr_mon]
df2