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r - How do I do a conditional sum which only looks between certain date criteria

Say I have data that looks like

date, user, items_bought, event_number
2013-01-01, x, 2, 1
2013-01-02, x, 1, 2
2013-01-03, x, 0, 3
2013-01-04, x, 0, 4
2013-01-04, x, 1, 5
2013-01-04, x, 2, 6
2013-01-05, x, 3, 7
2013-01-06, x, 1, 8
2013-01-01, y, 1, 1
2013-01-02, y, 1, 2
2013-01-03, y, 0, 3
2013-01-04, y, 5, 4
2013-01-05, y, 6, 5
2013-01-06, y, 1, 6

to get the cumulative sum per user per data point I was doing

data.frame(cum_items_bought=unlist(tapply(as.numeric(data$items_bought), data$user, FUN = cumsum)))

output from this looks like

date, user, items_bought
2013-01-01, x, 2
2013-01-02, x, 3
2013-01-03, x, 3
2013-01-04, x, 3
2013-01-04, x, 4
2013-01-04, x, 6
2013-01-05, x, 9
2013-01-06, x, 10
2013-01-01, y, 1
2013-01-02, y, 2
2013-01-03, y, 2
2013-01-04, y, 7
2013-01-05, y, 13
2013-01-06, y, 14

However I want to restrict my sum to only add up those that happened within 3 days of each row (relative to the user). i.e. the output needs to look like this:

date, user, cum_items_bought_3_days
2013-01-01, x, 2
2013-01-02, x, 3
2013-01-03, x, 3
2013-01-04, x, 1
2013-01-04, x, 2
2013-01-04, x, 4
2013-01-05, x, 6
2013-01-06, x, 7
2013-01-01, y, 1
2013-01-02, y, 2
2013-01-03, y, 2
2013-01-04, y, 6
2013-01-05, y, 11
2013-01-06, y, 12
See Question&Answers more detail:os

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Here's a dplyr solution which will produce the desired result (14 rows) as specified in the question. Note that it takes care of duplicate date entries, for example, 2013-01-04 for user x.

# define a custom function to be used in the dplyr chain
myfunc <- function(x){
  with(x, sapply(event_number, function(y) 
    sum(items_bought[event_number <= event_number[y] & date[y] - date <= 2])))
}

require(dplyr)                 #install and load into your library

df %>%
  mutate(date = as.Date(as.character(date))) %>%
  group_by(user) %>%
  do(data.frame(., cum_items_bought_3_days = myfunc(.))) %>%
  select(-c(items_bought, event_number))

#         date user cum_items_bought_3_days
#1  2013-01-01    x                       2
#2  2013-01-02    x                       3
#3  2013-01-03    x                       3
#4  2013-01-04    x                       1
#5  2013-01-04    x                       2
#6  2013-01-04    x                       4
#7  2013-01-05    x                       6
#8  2013-01-06    x                       7
#9  2013-01-01    y                       1
#10 2013-01-02    y                       2
#11 2013-01-03    y                       2
#12 2013-01-04    y                       6
#13 2013-01-05    y                      11
#14 2013-01-06    y                      12

In my answer I use a custom function myfunc inside a dplyr chain. This is done using the do operator from dplyr. The custom function is passed the subsetted df by user groups. It then uses sapply to pass each event_number and calculate the sums of items_bought. The last line of the dplyr chain deselects the undesired columns.

Let me know if you'd like a more detailed explanation.

Edit after comment by OP:

If you need more flexibility to also conditionally sum up other columns, you can adjust the code as follows. I assume here, that the other columns should be summed up the same way as items_bought. If that is not correct, please specify how you want to sum up the other columns.

I first create two additional columns with random numbers in the data (I'll post a dput of the data at the bottom of my answer):

set.seed(99)   # for reproducibility only

df$newCol1 <- sample(0:10, 14, replace=T)
df$newCol2 <- runif(14)

df
#         date user items_bought event_number newCol1     newCol2
#1  2013-01-01    x            2            1       6 0.687800094
#2  2013-01-02    x            1            2       1 0.640190769
#3  2013-01-03    x            0            3       7 0.357885360
#4  2013-01-04    x            0            4      10 0.102584999
#5  2013-01-04    x            1            5       5 0.097790922
#6  2013-01-04    x            2            6      10 0.182886256
#7  2013-01-05    x            3            7       7 0.227903474
#8  2013-01-06    x            1            8       3 0.080524150
#9  2013-01-01    y            1            1       3 0.821618422
#10 2013-01-02    y            1            2       1 0.591113977
#11 2013-01-03    y            0            3       6 0.773389019
#12 2013-01-04    y            5            4       5 0.350085977
#13 2013-01-05    y            6            5       2 0.006061323
#14 2013-01-06    y            1            6       7 0.814506223

Next, you can modify myfunc to take 2 arguments, instead of 1. The first argument will remain the subsetted data.frame as before (represented by . inside the dplyr chain and x in the function definition of myfunc), while the second argument to myfunc will specify the column to sum up (colname).

myfunc <- function(x, colname){
  with(x, sapply(event_number, function(y) 
    sum(x[event_number <= event_number[y] & date[y] - date <= 2, colname])))
}

Then, you can use myfunc several times if you want to conditionally sum up several columns:

df %>%
  mutate(date = as.Date(as.character(date))) %>%
  group_by(user) %>%
  do(data.frame(., cum_items_bought_3_days = myfunc(., "items_bought"),
                   newCol1Sums = myfunc(., "newCol1"),            
                   newCol2Sums = myfunc(., "newCol2"))) %>%
select(-c(items_bought, event_number, newCol1, newCol2))

#         date user cum_items_bought_3_days newCol1Sums newCol2Sums
#1  2013-01-01    x                       2           6   0.6878001
#2  2013-01-02    x                       3           7   1.3279909
#3  2013-01-03    x                       3          14   1.6858762
#4  2013-01-04    x                       1          18   1.1006611
#5  2013-01-04    x                       2          23   1.1984520
#6  2013-01-04    x                       4          33   1.3813383
#7  2013-01-05    x                       6          39   0.9690510
#8  2013-01-06    x                       7          35   0.6916898
#9  2013-01-01    y                       1           3   0.8216184
#10 2013-01-02    y                       2           4   1.4127324
#11 2013-01-03    y                       2          10   2.1861214
#12 2013-01-04    y                       6          12   1.7145890
#13 2013-01-05    y                      11          13   1.1295363
#14 2013-01-06    y                      12          14   1.1706535

Now you created conditional sums of the columns items_bought, newCol1 and newCol2. You can also leave out any of the sums in the dplyr chain or add more columns to sum up.

Edit #2 after comment by OP:

To calculate the cumulative sum of distinct (unique) items bought per user, you could define a second custom function myfunc2 and use it inside the dplyr chain. This function is also flexible as myfunc so that you can define the columns to which you want to apply the function.

The code would then be:

myfunc <- function(x, colname){
  with(x, sapply(event_number, function(y) 
    sum(x[event_number <= event_number[y] & date[y] - date <= 2, colname])))
}

myfunc2 <- function(x, colname){
  cumsum(sapply(seq_along(x[[colname]]), function(y) 
    ifelse(!y == 1 & x[y, colname] %in% x[1:(y-1), colname], 0, 1)))
}

require(dplyr)                 #install and load into your library

dd %>%
  mutate(date = as.Date(as.character(date))) %>%
  group_by(user) %>%
  do(data.frame(., cum_items_bought_3_days = myfunc(., "items_bought"),
                   newCol1Sums = myfunc(., "newCol1"),
                   newCol2Sums = myfunc(., "newCol2"),
                   distinct_items_bought = myfunc2(., "items_bought"))) %>%   
  select(-c(items_bought, event_number, newCol1, newCol2))

Here is the data I used:

dput(df)
structure(list(date = structure(c(1L, 2L, 3L, 4L, 4L, 4L, 5L, 
6L, 1L, 2L, 3L, 4L, 5L, 6L), .Label = c("2013-01-01", "2013-01-02", 
"2013-01-03", "2013-01-04", "2013-01-05", "2013-01-06"), class = "factor"), 
user = structure(c(1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 
2L, 2L, 2L, 2L), .Label = c(" x", " y"), class = "factor"), 
items_bought = c(2L, 1L, 0L, 0L, 1L, 2L, 3L, 1L, 1L, 1L, 
0L, 5L, 6L, 1L), event_number = c(1L, 2L, 3L, 4L, 5L, 6L, 
7L, 8L, 1L, 2L, 3L, 4L, 5L, 6L), newCol1 = c(6L, 1L, 7L, 
10L, 5L, 10L, 7L, 3L, 3L, 1L, 6L, 5L, 2L, 7L), newCol2 = c(0.687800094485283, 
0.640190769452602, 0.357885359786451, 0.10258499882184, 0.0977909218054265, 
0.182886255905032, 0.227903473889455, 0.0805241498164833, 
0.821618422167376, 0.591113976901397, 0.773389018839225, 
0.350085976999253, 0.00606132275424898, 0.814506222726777
)), .Names = c("date", "user", "items_bought", "event_number", 
"newCol1", "newCol2"), row.names = c(NA, -14L), class = "data.frame")

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