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rdata.tableinterpolationnamissing-data

Replace NA with mean of adjacent values


I want to replace NA value with mean of adjacent non-missing values in "return" column, grouped by "id". Let assume that there are only two months: 1,2 in a year.

df <- data.frame(id = c("A","A","A","A","B","B","B","B"),
                 year = c(2014,2014,2015,2015),
                 month = c(1, 2),
                 marketcap = c(4,6,2,6,23,2,5,34),
                 return = c(NA,0.23,0.2,0.1,0.4,0.9,NA,0.6))

df1
   id year month marketcap return
1:  A 2014     1         4     NA # <-
2:  A 2014     2         6   0.23
3:  A 2015     1         2   0.20
4:  A 2015     2         6   0.10
5:  B 2014     1        23   0.40
6:  B 2014     2         2   0.90
7:  B 2015     1         5     NA # <-
8:  B 2015     2        34   0.60

Desired data

desired_df <- data.frame(id = c("A","A","A","A","B","B","B","B"),
                         year = c(2014,2014,2015,2015),
                         month = c(1,2),
                         marketcap = c(4,6,2,6,23,2,5,34),
                         return = c(0.23,0.23,0.2,0.1,0.4,0.9,0.75,0.6))

desired_df
  id year month marketcap return
1  A 2014     1         4   0.23 # <-
2  A 2014     2         6   0.23
3  A 2015     1         2   0.20
4  A 2015     2         6   0.10
5  B 2014     1        23   0.40
6  B 2014     2         2   0.90
7  B 2015     1         5   0.75 # <-
8  B 2015     2        34   0.60

The second NA (row 7) should be replaced by the mean of the values before and after, i.e. (0.9 + 0.6)/2 = 0.75.

Note that the first NA (row 1), has no previous data. Here NA should be replaced with the next non-missing value, 0.23 ("last observation carried backwards").

A data.table solution is preferred if it is possible

UPDATE: When use the code structure as follows (which works for the sample)

df[,returnInterpolate:=na.approx(return,rule=2), by=id]

I have encountered the error: Error in approx(x[!na], y[!na], xout, ...) : need at least two non-NA values to interpolate

I guess that may be there is some id that have no non-NA values to interpolate. .any suggestions?


Solution

  • library(data.table)
    df <- data.frame(id=c("A","A","A","A","B","B","B","B"),
                     year=c(2014,2014,2015,2015),
                     month=c(1,2),
                     marketcap=c(4,6,2,6,23,2,5,34),
                     return=c(NA,0.23,0.2,0.1,0.4,0.9,NA,0.6))
    setDT(df)
    library(zoo)
    df[, returnInterpol := na.approx(return, rule = 2), by = id]
    #   id year month marketcap return returnInterpol
    #1:  A 2014     1         4     NA           0.23
    #2:  A 2014     2         6   0.23           0.23
    #3:  A 2015     1         2   0.20           0.20
    #4:  A 2015     2         6   0.10           0.10
    #5:  B 2014     1        23   0.40           0.40
    #6:  B 2014     2         2   0.90           0.90
    #7:  B 2015     1         5     NA           0.75
    #8:  B 2015     2        34   0.60           0.60
    

    Edit:

    If you have groups with only NA values or only one non-NA, you could do this:

    df <- data.frame(id=c("A","A","A","A","B","B","B","B","C","C","C","C"),
                     year=c(2014,2014,2015,2015),
                     month=c(1,2),
                     marketcap=c(4,6,2,6,23,2,5,34, 1:4),
                     return=c(NA,0.23,0.2,0.1,0.4,0.9,NA,0.6,NA,NA,0.3,NA))
    setDT(df)
    df[, returnInterpol := switch(as.character(sum(!is.na(return))),
                                  "0" = return,
                                  "1" = {na.omit(return)},  
                                  na.approx(return, rule = 2)), by = id]
    
    #     id year month marketcap return returnInterpol
    #  1:  A 2014     1         4     NA           0.23
    #  2:  A 2014     2         6   0.23           0.23
    #  3:  A 2015     1         2   0.20           0.20
    #  4:  A 2015     2         6   0.10           0.10
    #  5:  B 2014     1        23   0.40           0.40
    #  6:  B 2014     2         2   0.90           0.90
    #  7:  B 2015     1         5     NA           0.75
    #  8:  B 2015     2        34   0.60           0.60
    #  9:  C 2014     1         1     NA           0.30
    # 10:  C 2014     2         2     NA           0.30
    # 11:  C 2015     1         3   0.30           0.30
    # 12:  C 2015     2         4     NA           0.30